Dissertations / Theses on the topic 'Finite element methods (FEMs)'
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Kleditzsch, Stefan, and Birgit Awiszus. "Modeling of Cylindrical Flow Forming Processes with Numerical and Elementary Methods." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-97124.
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With flow forming – an incremental forming process – the final geometry of a component is achieved by a multitude of minor sequential forming steps. Due to this incremental characteristic associated with the variable application of the tools and kinematic shape forming, it is mainly suitable for small and medium quantities. For the extensive use of the process it is necessary to have appropriate simulation tools. While the Finite-Element-Analysis (FEA) is an acknowledged simulation tool for the modeling and optimization of forming technology, the use of FEA for the incremental forming processes is associated with very long computation times. For this reason a simulation method called FloSim, based on the upper bound method, was developed for cylindrical flow forming processes at the Chair of Virtual Production Engineering, which allows the simulation of the process within a few minutes. This method was improved by the work presented with the possibility of geometry computation during the process.
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Breslavsky, D. V., V. O. Mietielov, O. K. Morachkovsky, S. O. Pashchenko, and О. А. Tatarinova. "Asymptotic methods and finite element method in cyclic creep-damage problems." Thesis, Львівський національний університет ім. І. Франка, 2015. http://repository.kpi.kharkov.ua/handle/KhPI-Press/19395.
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Camacho, Fernando F. "A Posteriori Error Estimates for Surface Finite Element Methods." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/21.
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Problems involving the solution of partial differential equations over surfaces appear in many engineering and scientific applications. Some of those applications include crystal growth, fluid mechanics and computer graphics. Many times analytic solutions to such problems are not available. Numerical algorithms, such as Finite Element Methods, are used in practice to find approximate solutions in those cases.
In this work we present L2 and pointwise a posteriori error estimates for Adaptive Surface Finite Elements solving the Laplace-Beltrami equation −△Γ u = f . The two sources of errors for Surface Finite Elements are a Galerkin error, and a geometric error that comes from replacing the original surface by a computational mesh. A posteriori error estimates on flat domains only have a Galerkin component. We use residual type error estimators to measure the Galerkin error. The geometric component of our error estimate becomes zero if we consider flat domains, but otherwise has the same order as the residual one. This is different from the available energy norm based error estimates on surfaces, where the importance of the geometric components diminishes asymptotically as the mesh is refined. We use our results to implement an Adaptive Surface Finite Element Method.
An important tool for proving a posteriori error bounds for non smooth functions is the Scott-Zhang interpolant. A refined version of a standard Scott-Zhang interpolation bound is also proved during our analysis. This local version only requires the interpolated function to be in a Sobolev space defined over an element T instead of an element patch containing T.
In the last section we extend our elliptic results to get estimates for the surface heat equation ut − △Γ u = f using the elliptic reconstruction technique.
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Wang, Sili. "An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements." University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762.
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Witkowski, Thomas. "Software concepts and algorithms for an efficient and scalable parallel finite element method." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-141651.
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Software packages for the numerical solution of partial differential equations (PDEs) using the finite element method are important in different fields of research. The basic data structures and algorithms change in time, as the user\'s requirements are growing and the software must efficiently use the newest highly parallel computing systems. This is the central point of this work. To make efficiently use of parallel computing systems with growing number of independent basic computing units, i.e.~CPUs, we have to combine data structures and algorithms from different areas of mathematics and computer science. Two crucial parts are a distributed mesh and parallel solver for linear systems of equations. For both there exists multiple independent approaches. In this work we argue that it is necessary to combine both of them to allow for an efficient and scalable implementation of the finite element method. First, we present concepts, data structures and algorithms for distributed meshes, which allow for local refinement. The central point of our presentation is to provide arbitrary geometrical information of the mesh and its distribution to the linear solver. A large part of the overall computing time of the finite element method is spend by the linear solver. Thus, its parallelization is of major importance. Based on the presented concept for distributed meshes, we preset several different linear solver methods. Hereby we concentrate on general purpose linear solver, which makes only little assumptions about the systems to be solver. For this, a new FETI-DP (Finite Element Tearing and Interconnect - Dual Primal) method is proposed. Those the standard FETI-DP method is quasi optimal from a mathematical point of view, its not possible to implement it efficiently for a large number of processors (> 10,000). The main reason is a relatively small but globally distributed coarse mesh problem. To circumvent this problem, we propose a new multilevel FETI-DP method which hierarchically decompose the coarse grid problem. This leads to a more local communication pattern for solver the coarse grid problem and makes it possible to scale for a large number of processors. Besides the parallelization of the finite element method, we discuss an approach to speed up serial computations of existing finite element packages. In many computations the PDE to be solved consists of more than one variable. This is especially the case in multi-physics modeling. Observation show that in many of these computation the solution structure of the variables is different. But in the standard finite element method, only one mesh is used for the discretization of all variables. We present a multi-mesh finite element method, which allows to discretize a system of PDEs with two independently refined meshesSoftwarepakete zur numerischen Lösung partieller Differentialgleichungen mit Hilfe der Finiten-Element-Methode sind in vielen Forschungsbereichen ein wichtiges Werkzeug. Die dahinter stehenden Datenstrukturen und Algorithmen unterliegen einer ständigen Neuentwicklung um den immer weiter steigenden Anforderungen der Nutzergemeinde gerecht zu werden und um neue, hochgradig parallel Rechnerarchitekturen effizient nutzen zu können. Dies ist auch der Kernpunkt dieser Arbeit. Um parallel Rechnerarchitekturen mit einer immer höher werdenden Anzahl an von einander unabhängigen Recheneinheiten, z.B.~Prozessoren, effizient Nutzen zu können, müssen Datenstrukturen und Algorithmen aus verschiedenen Teilgebieten der Mathematik und Informatik entwickelt und miteinander kombiniert werden. Im Kern sind dies zwei Bereiche: verteilte Gitter und parallele Löser für lineare Gleichungssysteme. Für jedes der beiden Teilgebiete existieren unabhängig voneinander zahlreiche Ansätze. In dieser Arbeit wird argumentiert, dass für hochskalierbare Anwendungen der Finiten-Elemente-Methode nur eine Kombination beider Teilgebiete und die Verknüpfung der darunter liegenden Datenstrukturen eine effiziente und skalierbare Implementierung ermöglicht. Zuerst stellen wir Konzepte vor, die parallele verteile Gitter mit entsprechenden Adaptionstrategien ermöglichen. Zentraler Punkt ist hier die Informationsaufbereitung für beliebige Löser linearer Gleichungssysteme. Beim Lösen partieller Differentialgleichung mit der Finiten Elemente Methode wird ein großer Teil der Rechenzeit für das Lösen der dabei anfallenden linearen Gleichungssysteme aufgebracht. Daher ist deren Parallelisierung von zentraler Bedeutung. Basierend auf dem vorgestelltem Konzept für verteilten Gitter, welches beliebige geometrische Informationen für die linearen Löser aufbereiten kann, präsentieren wir mehrere unterschiedliche Lösermethoden. Besonders Gewicht wird dabei auf allgemeine Löser gelegt, die möglichst wenig Annahmen über das zu lösende System machen. Hierfür wird die FETI-DP (Finite Element Tearing and Interconnect - Dual Primal) Methode weiterentwickelt. Obwohl die FETI-DP Methode vom mathematischen Standpunkt her als quasi-optimal bezüglich der parallelen Skalierbarkeit gilt, kann sie für große Anzahl an Prozessoren (> 10.000) nicht mehr effizient implementiert werden. Dies liegt hauptsächlich an einem verhältnismäßig kleinem aber global verteilten Grobgitterproblem. Wir stellen eine Multilevel FETI-DP Methode vor, die dieses Problem durch eine hierarchische Komposition des Grobgitterproblems löst. Dadurch wird die Kommunikation entlang des Grobgitterproblems lokalisiert und die Skalierbarkeit der FETI-DP Methode auch für große Anzahl an Prozessoren sichergestellt. Neben der Parallelisierung der Finiten-Elemente-Methode beschäftigen wir uns in dieser Arbeit mit der Ausnutzung von bestimmten Voraussetzung um auch die sequentielle Effizienz bestehender Implementierung der Finiten-Elemente-Methode zu steigern. In vielen Fällen müssen partielle Differentialgleichungen mit mehreren Variablen gelöst werden. Sehr häufig ist dabei zu beobachten, insbesondere bei der Modellierung mehrere miteinander gekoppelter physikalischer Phänomene, dass die Lösungsstruktur der unterschiedlichen Variablen entweder schwach oder vollständig voneinander entkoppelt ist. In den meisten Implementierungen wird dabei nur ein Gitter zur Diskretisierung aller Variablen des Systems genutzt. Wir stellen eine Finite-Elemente-Methode vor, bei der zwei unabhängig voneinander verfeinerte Gitter genutzt werden können um ein System partieller Differentialgleichungen zu lösen
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Pacheco, Roman Oscar. "Evaluation of Finite Element simulation methods for High Cycle Fatigue on engine components." Thesis, Linköpings universitet, Mekanik och hållfasthetslära, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-148779.
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This document reflects the results of evaluating three computational methods to analyse the fatigue life of components mounted on the cylinder block; two currently in use at Scania and one that has been further developed from its previous state. Due to the cost of testing and the exponential increase in computational power throughout the years, the cheaper computational analyses have gained in popularity. When a component is mounted in a fairly complex assembly such as an engine, simplifications need to be made in order to make the analysis as less expensive as possible while keeping a high degree of accuracy. The methods of Virtual Vibrations, VROM and VFEM have been evaluated and compared in terms of accuracy, computational cost, user friendliness and general capacities. Additionally, the method VFEM has been further developed and improved from its previous state. A in-depth investigation regarding the differences of the methods has been conducted and improvements to make them more efficient are suggested herein. The reader can also find a decision matrix and recommendations regarding which method to use depending on the general characteristics of the component of interest and other factors. Two components, which differ in complexity and mounting nature, have been used to do the research.
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Cascio, Michele. "Coupled Molecular Dynamics and Finite Element Methods for the simulation of interacting particles and fields." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4120.
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The dynamical simulation of many particle systems is currently a widespread technique in many fields: e.g. nuclear and atomic physics, computational material science, computational chemistry, molecular biology and pharmacology. Under the locution Molecular Dynamics (MD) we can regroup a variety of approaches and numerical codes, whereas the commonalities are: 1) the atomistic (or nuclear) resolution (i.e. particles are atoms or nucleons), 2) the force derivation, starting from the systems configuration, through semi-classical (also called semi-empirical) or quantum mechanics based theoretical frameworks, 3) the (generally explicit) numerical integration of the Newton-like equations of the motions to simulate the system kinetics. Within this scheme methodology variations can be found in the literature, but it is undoubtedly valid to qualify the MD meaning in the field of the scientific computation.
The general scope of this Thesis work is the extension of the MD methods to the study of kinetics of larger particle (i.e. from mesoscopic dimensions and above), where effective particle-particle interactions are mediated by a field evolving self-consistently with the many particles system. This objective is mainly motivated by the applications of the method to control and predict the manipulation of mesoscopic (electrically) neutral particles by means of electromagnetic (e.m.) interactions: i.e. exploiting the so called dielectrophoresis (DEP) phenomena in the systems of electromechanical particles (EMPs). This is the specific case of study here considered, but in principle the methodology can applied after suitable adaptation to also other systems.
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Szegda, Damian. "Experimental investigation and computational modelling of the thermoforming process of thermoplastic starch." Thesis, Brunel University, 2009. http://bura.brunel.ac.uk/handle/2438/3445.
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Plastic packaging waste currently forms a significant part of municipal solid waste and as such is causing increasing environmental concerns. Such packaging is largely non-biodegradable and is particularly difficult to recycle or to reuse due largely to its complex compositions. Apart from limited recycling of some easily identifiable packaging wastes that can be separated economically, such as bottles, most packaging waste ends up in landfill sites. In recent years, in an attempt to address this problem in plastic packaging, the development of packaging materials from renewable plant resources has received increasing attention and a wide range of bioplastic materials based on starch are now available. Environmentally these bioplastic materials also reduce reliance on oil resources and have the advantage that they are biodegradable and can be composted upon disposal to reduce the environmental impact. Many food packaging containers are produced by thermoforming processes in which thin sheets are inflated under pressure into moulds to produce the required thin -wall structures. Hitherto these thin sheets have almost exclusively been made of oilbased polymers and it is for these that computational models of thermoforming processes have been developed. Recently, in the context of bioplastics, commercial thermoplastic starch sheet materials have been developed. The behaviour of such materials is influenced both by temperature and, because of the inherent hydrophilic characteristics of the materials, by moisture content. Both of these aspects affect the behaviour of bioplastic sheets during the thermoforming process. This thesis describes experimental work and work on the computational modelling of thermoforming processes for thermoplastic starch sheets using a commercially available material. The experimental work has been carried in order to characterise the deformation behaviour of the material with regard to different temperature, moisture contents and strain rates. Thermoforming of the material was performed and samples produced were used for comparison and verification of the computational modelling of the thermoforming process. In the first attempt to model the thermoforming process, a hyperelastic constitutive equation was established to approximate the material behaviour taking account of the combined effects of temperature and moisture content and a simple ii membrane model with constrained deformation was used to model an axisymmetric case of thermoforming. Simulations with this model showed that moisture content mostly affects the pressure required to push the sheet into the mould while moisture variation during thermoforming has little effect on the final thickness distribution of the product. Considerable discrepancies were found in the thickness distribution between the predictions from the model and the experimental measurements. Further attempts were made to take account of the elasto-plastic behaviour of the material and a more complex three-dimensional FE model was developed using ANSYS/LS-DYNA. Based on the findings in the simpler modelling work, no attempt was made to incorporate the moisture content effect on material behaviour but the material parameters for the elasto-plastic constitutive equation were obtained from high speed tensile tests so that moisture variation during thermoforming could be minimised and neglected. The predictions from this model have led to significant improvements in prediction of the thickness distribution which has become much closer to the experimental measurements in comparison with the hyperelastic model. This work provides some important insights into thermoforming of thermoplastic starch materials: a) Deformation behaviour of such materials depends strongly on the moisture content and the temperature, both of which affect behaviour during thermoforming processes, including the preheating stage; b) moisture variation during the thermoforming process has a significant effect on the pressure required for the deformation. This also leads to variation of moisture content distribution in the final product, which in turn affects the material properties such as ductility or impact strength at different positions in the thermoformed structure; c) thermoforming of thermoplastic starch materials can be simulated more accurately by an elasto-plastic model and the LS-DYNA algorithm in comparison with a hyperelastic membrane model. This work has provided useful information on thermoforming of thermoplastic starch materials with particular reference to the design of thermoforming tools and to the careful control of processing conditions including preheating. It has also laid a solid foundation for future work on how the moisture variation impacts on the formation of defects such as incomplete forming due to material hardening and fracture due to loss of ductility.
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Ferro, Newton Carlos Pereira. "Uma combinação MEC/MEF para análise de interação solo-estrutura." Universidade de São Paulo, 1999. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-08122017-102331/.
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No presente trabalho, uma combinação do método dos elementos de contorno (MEC) com o método dos elementos finitos (MEF) é apresentada para a análise da interação entre estacas e o solo, considerado como um meio infinito tridimensional e homogêneo. O meio contínuo tridimensional de domínio infinito é modelado pelo MEC, enquanto as estacas consideradas como elementos reticulares são tratadas pelo MEF. As equações das estacas oriundas do método dos elementos finitos são combinadas com as do meio contínuo obtidas a partir do método dos elementos de contorno, resultando em um sistema completo de equações, que convenientemente tratadas, proporcionam a formulação de coeficientes de rigidez do conjunto solo-estacas. Finalmente, uma formulação para a análise do comportamento não-linear do solo na interface com a estaca é desenvolvida, tornando o modelo mais abrangente.In the present work a combination of the Boundary Element Method (BEM) and the Finite Element Method (FEM) is used for pile-soil interaction analyses, considering the soil as a homogeneous, three-dimensional and infinite medium. The three-dimensional infinite continuous medium is modeled by the BEM, and the piles are, considered as beam elements, modeled by the FEM. This combination also is used for studying the interaction of plates sitting on a continuous medium. The pile equations generated from the FEM are combined with the medium equations generated from the BEM, resulting a complete equation system. Manipulating properly this equation system, a set of stiffness coefficients for the system soil-pile is obtained. Finally, to make the model more comprehensive, it presented a formulation to take into account the soil nonlinear behavior at the pile interface.
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Janhunen, Tony, and Martin Mikus. "Dynamisk analys och utmattningskontroll med hjälp av fältmätningar och FEM : Fallstudie över SL:s Bro norr om Söderströmsbron." Thesis, KTH, Structural Design and Bridges, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12228.
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Följande examensarbete omfattar en fallstudie av Bro norr om Söderströmsbron, en tunnelbanebro i stål med fyra spår. Den byggdes 1956 som en del av förbindelsen mellan station Gamla stan och station Slussen i Stockholm. I fallstudien, som är ett samarbete mellan KTH och SL, ingår att bedöma brons dynamiska egenskaper, tillstånd avseende utmattning samt att skapa en finita elementmodell av bron. Vidare begränsas fallstudien till brokonstruktionen för det spår som går närmast slussen mellan Mälaren och Saltsjön, och som i dagsläget utgör gröna tunnelbanelinjen mot Farsta strand, Hagsätra och Skarpnäck.
Under 2005 trafikerades det aktuella spåret under högtrafik av 30 tåg i timmen och under lågtrafik av 15 tåg i timmen. När tåg passerar visar bron stora förskjutningar och glapp mellan sliprar och underliggande stålkonstruktion. Dessa förskjutningar skapar spänningar i stålet och avgörande för brons tillstånd avseende utmattning är antalet skadliga spänningsvidder vid kritiska snitt som inträffat sedan brons färdigställande.
Dagens spänningsvidder mäts med hjälp av töjningsgivare placerade i fältmitt. Mätningen har utförts av KTH, avdelningen för Brobyggnad i samband med examensarbetet. Av intresse är utmattningsrisk för svetsad anslutning mellan lång- och tvärbalkar. Utmattningsrisken beräknas dels med typiserade spänningskollektiv enligt BSK 07, dels med verkliga spänningskollektiv enligt Palmgren-Miners delskadehypotes. Enligt båda metoderna konstateras utmattningshållfastheten vara uttömd, med reservation för förbandsklasser och partialkoefficienter. Kollektivparametern κ enligt BSK 07, vilken vid dimensionering beaktar spänningskollektivets form, uppskattas vara närmare 2/3 än SL:s nuvarande värde 5/6.
Ur responsen från givarna konstateras att den dynamiska förstoringsfaktorn vid 60 km/h varierar mellan 0.63 och 1.43, vilket visar att brons respons har ett stort dynamiskt innehåll.
En finita elementmodell skapas i Abaqus med hjälp av Matlab, med syftet att komplettera resultat från mätningar. I modellen studeras töjning, vertikal förskjutning och acceleration, dynamisk förstoringsfaktor och egenmoder. Den statiska responsen för modell och bro konstateras vara snarlik.
This thesis includes a case study of the Bro norr om Söderströmsbron, a steel subway bridge with four rail tracks. The bridge was built in 1956 as a part of the connection between the two subway stations Gamla stan and Slussen in Stockholm. The case study, which is a collaboration between KTH and SL, includes an evaluation of the dynamic properties of the bridge, in which condition it is regarding fatigue and the creation of a finite element model of the bridge. The case study is limited to the construction carrying the rail track closest to the lock between Mälaren and Saltsjön, and now represents the green subway line towards Farsta strand, Hagsätra and Skarpnäck.
In 2005, the train frequency during rush hour was 30 trains per hour and during low traffic 15 trains per hour. When a train crosses, the bridge shows large displacements and gaps between the sleepers and the underlying steel structure. The displacements cause stresses in the steel and crucial to the bridge fatigue state is the number of damaging stress ranges that have occurred since the opening of the bridge.
The current stress variations are measured using strain gauges positioned in the mid-span. Measurements were carried out by KTH, division of Structural Design & Bridges, during this thesis. Of key interest is a welded edge between the main- and crossbeams. The risk of fatigue is calculated using standardised stress ranges according to BSK 07 and Palmgren-Miners cumulative damage theory. According to both methods, the fatigue life of the bridge is exceeded, with reservations to the detail category and partial coefficients. The stress collective parameter κ according to BSK 07, which in design accounts for the distribution of the stress collective, is estimated closer to 2/3 than SL’s present value of 5/6.
According to the strain gauges, the dynamic amplification factor at 60 km/h varies between 0.63 and 1.43, indicating that the bridge’s response has a large dynamic content.
A finite element model is created in Abaqus using Matlab, with the purpose of complementing results from the measurements. In the model, the strain, vertical displacements and acceleration, dynamic amplification and natural modes are studied. The static response of the model and bridge were found to be similar.
QC 20100707
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Mathias, Berggren, and Sonesson Daniel. "Design Optimization in Gas Turbines using Machine Learning : A study performed for Siemens Energy AB." Thesis, Linköpings universitet, Programvara och system, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-173920.
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In this thesis, the authors investigate how machine learning can be utilized for speeding up the design optimization process of gas turbines. The Finite Element Analysis (FEA) steps of the design process are examined if they can be replaced with machine learning algorithms. The study is done using a component with given constraints that are provided by Siemens Energy AB. With this component, two approaches to using machine learning are tested. One utilizes design parameters, i.e. raw floating-point numbers, such as the height and width. The other technique uses a high dimensional mesh as input. It is concluded that using design parameters with surrogate models is a viable way of performing design optimization while mesh input is currently not. Results from using different amount of data samples are presented and evaluated.
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Simeitis, Sven D. "Vergleich von Simulationen mittels Pro/MECHANICA und ANSYS." Universitätsbibliothek Chemnitz, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-68443.
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Gegenstand dieser Arbeit ist es, Simulationsergebnisse von Pro/MECHANICA und ANSYS zu vergleichen, um somit einen Hinweis auf die Qualität der Berechnungsergebnisse von integrierten FEM-Systemen zu bekommen. Als Beispiele dienen verschiedene Bauteile aus dem Gebiet der Strukturmechanik (linear-elastischer Bereich), welche mit Pro/MECHANICA und ANSYS modelliert und berechnet werden. Abschließend erfolgt eine Gegenüberstellung der Daten aus FEM und analytischer Rechnung, sowie eine Bewertung der Ergebnisse.
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Grasso, Eva. "Modelling visco-elastic seismic wave propagation : a fast-multipole boundary element method and its coupling with finite elements." Phd thesis, Université Paris-Est, 2012. http://tel.archives-ouvertes.fr/tel-00730752.
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The numerical simulation of elastic wave propagation in unbounded media is a topical issue. This need arises in a variety of real life engineering problems, from the modelling of railway- or machinery-induced vibrations to the analysis of seismic wave propagation and soil-structure interaction problems. Due to the complexity of the involved geometries and materials behavior, modelling such situations requires sophisticated numerical methods. The Boundary Element method (BEM) is a very effective approach for dynamical problems in spatially-extended regions (idealized as unbounded), especially since the advent of fast BEMs such as the Fast Multipole Method (FMM) used in this work. The BEM is based on a boundary integral formulation which requires the discretization of the only domain boundary (i.e. a surface in 3-D) and accounts implicitly for the radiation conditions at infinity. As a main disadvantage, the BEM leads a priori to a fully-populated and (using the collocation approach) non-symmetrical coefficient matrix, which make the traditional implementation of this method prohibitive for large problems (say O(106) boundary DoFs). Applied to the BEM, the Multi-Level Fast Multipole Method (ML-FMM) strongly lowers the complexity in computational work and memory that hinder the classical formulation, making the ML-FMBEM very competitive in modelling elastic wave propagation. The elastodynamic version of the Fast Multipole BEM (FMBEM), in a form enabling piecewise-homogeneous media, has for instance been successfully used to solve seismic wave propagation problems in a previous work (thesis dissertation of S. Chaillat, ENPC, 2008). This thesis aims at extending the capabilities of the existing frequency-domain elastodynamic FMBEM in two directions. Firstly, the time-harmonic elastodynamic ML-FMBEM formulation has been extended to the case of weakly dissipative viscoelastic media. Secondly, the FMBEM and the Finite Element Method (FEM) have been coupled to take advantage of the versatility of the FEM to model complex geometries and non-linearities while the FM-BEM accounts for wave propagation in the surrounding unbounded medium. In this thesis, we consider two strategies for coupling the FMBEM and the FEM to solve three-dimensional time-harmonic wave propagation problems in unbounded domains. The main idea is to separate one or more bounded subdomains (modelled by the FEM) from the complementary semi-infinite viscoelastic propagation medium (modelled by the FMBEM) through a non-overlapping domain decomposition. Two coupling strategies have been implemented and their performances assessed and compared on several examples
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Davidsson, Johan. "Sobolev Spaces and the Finite Element Method." Thesis, Örebro universitet, Institutionen för naturvetenskap och teknik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-67470.
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In this essay we present the Sobolev spaces and some basic properties of them. The Sobolev spaces serve as a theoretical framework for studying solutions to partial differential equations. The finite element method is presented which is a numerical method for solving partial differential equations.
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Xie, Mengyin. "X-ray and neutron diffraction analysis and fem modelling of stress and texture evolution in cubic polycrystals." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:c5f8b36c-4728-4c17-8e2e-82b926200019.
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The thesis reports improvements in the characterization techniques for stress and texture in crystalline materials by x-ray and neutron powder diffraction. Furthermore, advances are made in texture evolution modelling and validation against experimental observations. In the beginning, the fundamental assumption of diffraction strain analysis is numerically examined and verified, namely, that the lattice parameter value determined from fitting the diffraction pattern is equal to the average lattice parameter within the gauge volume. Next, the task of shear strain determination from powder diffraction measurements is addressed. A method is developed and implemented for the complete 2D strain tensor determination from the multi-directional energy-dispersive x-ray diffraction patterns. The method not only offers a way to evaluate the shear strain, but also provides a better overall strain averaging approach. Rotation and translation of sample and/or detectors in powder diffraction mode can effectively increase the pole figure coverage and thus the accuracy of texture determination. However, the movements also introduce uncertainties and aberrations into data analysis due to the changes in the diffraction volume and transmitted intensity. In order to overcome these problems, accurate single exposure texture characterization techniques are proposed based on several different powder diffraction setups. Numerical analyses are carried out to prove that any simple texture in cubic polycrystals can be effectively determined using single exposure Debye-Scherrer diffraction pattern analysis. Several experiments are reported on collecting Debye-Scherrer diffraction patterns, multi-directional energy-dispersive x-ray diffraction patterns and multi-directional TOF neutron setup. Efficient data processing procedures of the diffraction patterns for ODF determination are presented. Crystal plasticity finite element models are developed to model the texture evolution in polycrystalline engineering samples during manufacturing. In the present thesis, quantitative measures extracted from orientation distribution function are employed to make precise comparison between the model and experiment. Unlike the simple uni-axial compression and tension considered in the literature, in the present thesis the complex texture evolution during linear friction welding is modelled as a sequence of different shear deformations.
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Donner, Hendrik. "FEM-basierte Modellierung stark anisotroper Hybridcord-Elastomer-Verbunde." Doctoral thesis, Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-229188.
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Zur Analyse der Beanspruchungen in textilverstärkten Elastomerbauteilen wie Luftfedern, Reifen, Riemen und Schläuchen sind Berechnungsmodelle mit einer feinen Balance zwischen Genauigkeit und Effizienz erforderlich. Die großen Deformationen, stark anisotropen Struktureigenschaften und kleinen Abmessungen der Festigkeitsträger gegenüber denen des Bauteils bedürfen einerseits einer detaillierten Modellierung, andererseits sind die kritischen Bereiche in diesen Bauteilen räumlich stark begrenzt, sodass eine Reduktion des Berechnungsaufwands erstrebenswert ist. Diese Modellreduktion führt zu Simulationen mit geringer Rechenzeit, die für eine praxistaugliche Optimierung von Hybridcord-Elastomer-Verbunden unerlässlich sind. Die beiden Hauptschwerpunkte der vorliegenden Arbeit bilden die kontinuumsmechanische Modellierung von Hybridcorden und die Erstellung repräsentativer Volumenelemente hochbeanspruchter Hybridcord-Elastomer-Verbunde. Aufbauend auf einem anisotropen Plastizitätsmodell zur Erfassung der Reibung in Multifilamentgarnen stellt ein Finite-Elemente-Modell zur Simulation der Verzwirnung von Hybridcorden das Fundament der Arbeit dar. Anhand experimenteller Ergebnisse aus Zug- und Torsionsversuchen sowie einem Vergleich mit Querschnittsaufnahmen wird gezeigt, dass das Modell die komplexen Eigenschaften eines Hybridcords abbilden kann. Die Grundlage der repräsentativen Volumenelemente stellt eine Erweiterung der klassischen periodischen Randbedingungen dar, die eine Berücksichtigung von Krümmungen und Drucklasten ermöglicht. Das Modell eignet sich daher, die Beanspruchungen in den hochbelasteten Bereichen textilverstärkter Elastomerbauteile wie der Rollfalte einer Luftfeder effizient zu analysieren. Mittels Parameterstudien werden abschließend Hybridcorde und Hybridcord-Elastomer-Verbunde untersucht und einige Hinweise für eine optimale Gestaltung hinsichtlich minimaler Beanspruchungen des Elastomers, des Hybridcords sowie der Grenzfläche gegebenThe analysis of stresses and strains within textile-reinforced rubber components like air springs, tyres, driving belts, and tubes requires accurate as well as efficient computational models. On the one hand, the large deformations, the composite's strongly anisotropic properties, and the large ratio between the size of the cords and the composite necessitate a precise modeling. On the other hand, the highly loaded parts of the components are spatially confined and thus a reduction of the computational effort is desirable. These reduced models are efficient enough for performing engineering-oriented optimizations. The two main priorities of this work are the continuum mechanical modeling of hybrid cords and the development of representative volume elements of highly loaded hybrid cord-rubber composites. Based on an anisotropic plasticity model, which takes the frictional sliding between the filaments within multifilament yarns into account, a finite element model for the simulation of the twisting process of a hybrid cord is the fundament of this work. A comparison with experimental results from tensile and torsional tests as well as images of cross sections validate the proposed hybrid cord model. The basis of the representative volume element is the extension of the classical periodic boundary conditions, which now enable to take the curvature and pressure load into account. Thus, the model is suitable to analyze the highly loaded parts of hybrid cord-rubber composites like the rolling lobe of an air spring. Finally, the set-ups of hybrid cords and hybrid cord-rubber composites are analyzed by means of parameter studies to obtain a minimized loading of the rubber, yarns, and their interface
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Dunkelberg, Jr John S. "FEM Mesh Mapping to a SIMD Machine Using Genetic Algorithms." Digital WPI, 2001. https://digitalcommons.wpi.edu/etd-theses/1154.
Full textAbstract:
The Finite Element Method is a computationally expensive method used to perform engineering analyses. By performing such computations on a parallel machine using a SIMD paradigm, these analyses' run time can be drastically reduced. However, the mapping of the FEM mesh elements to the SIMD machine processing elements is an NP-complete problem. This thesis examines the use of Genetic Algorithms as a search technique to find quality solutions to the mapping problem. A hill climbing algorithm is compared to a traditional genetic algorithm, as well as a "messy" genetic algorithm. The results and comparative advantages of these approaches are discussed.
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Kingsley, Thomas Charles. "Multidisciplinary design and optimisation of liquid containers for sloshing and impact." Diss., Pretoria : [s.n.], 2005. http://upetd.up.ac.za/thesis/available/etd-01242006-100142.
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Gerstmann, Thoralf. "Erweiterung der Verfahrensgrenzen des Flach-Clinchens." Doctoral thesis, Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-208840.
Full textAbstract:
Eines der am häufigsten in der Automobilindustrie eingesetzten mechanischen Fügeverfahren ist das Clinchen, auch Durchsetzfügen genannt. Hierbei werden zwei oder mehr sich überlappende Bleche lokal umgeformt, sodass eine form- und kraftschlüssige Verbindung mit matrizenseitiger Überhöhung entsteht. Eine Sonderform des Clinchens ist das Flach-Clinchen zur Herstellung einseitig ebener Clinch-Verbindungen. Mit dem Ziel, die Verfahrensgrenzen des konventionellen Flach-Clinchens zu erweitern, werden im Rahmen der vorliegenden Arbeit zwei neuartige Verfahrensvarianten des Flach-Clinchens entwickelt. Um die Verbindungsfestigkeit der Flach-Clinch-Verbindung zu erhöhen, wird ein zusätzliches Hilfsfügeelement in den Fügepunkt eingebracht. Dies bewirkt zum einen eine Vergrößerung des Hinterschnittes und daraus resultierend eine erhöhte Belastbarkeit gegenüber Kopfzugbeanspruchung. Zum anderen wird der Fügepunkt durch das zusätzliche Material stabilisiert und folglich die Belastbarkeit gegenüber Scherzugbeanspruchung verbessert. Die zweite Verfahrensvariante beinhaltet die Kombination aus Flach-Clinchen und Kleben zum sogenannten Flach-Clinchkleben. Hierbei dient die mechanische Verbindung hauptsächlich als Fixierhilfe bis zur vollständigen Aushärtung des Klebstoffs. Dies ermöglicht eine direkte Weiterverarbeitung des Bauteils nach dem Fügen und somit eine deutliche Verkürzung der Prozesszeiten. Die Entwicklung des Flach-Clinchens mit Hilfsfügeelement und des Flach-Clinchklebens erfolgt ausschließlich mittels numerischer Simulationen. Die hierbei gewonnenen Erkenntnisse werden anschließend experimentell verifiziert und die Verbindungsfestigkeiten der neuentwickelten Verfahrensvarianten bestimmtClinching is one of the most common used mechanical joining processes in automotive industry. Here, two or more overlapping metal sheets are locally formed so that a form- and force-closed joint with diesided protrusion is established. A special type of clinching is the so-called flat-clinching for the production of one-sided planar joints. Within the framework of this thesis, two novel process variants of flat-clinching are developed for enhancing the process limitations of conventional flat-clinching. For increasing the joint strength, a complementary joining element is inserted into the joint. This causes an enlargement of the interlocking, leading to a higher resistance to cross tension loads. Also, the additional material stabilizes the joint and hence improves the resistance to shear load. The second process variant, adhesive flat-clinching, includes the combination of flat-clinching and adhesive bonding. The metal sheets are fixed by flat-clinching and the final joint strength is achieved after the complete curing of the adhesive. This enables a continuous processing of the component and therefore, the process time can be shortened. The development of flat-clinching using complementary joining elements and adhesive flat-clinching is exclusively carried out by using numerical simulation. The knowledge gained from the simulations is subsequently experimentally proven. Also, the joint strength of the novel process variants is experimentally determined
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Holsten, Sven. "FEM-unterstützte Parameterstudie des Innengewinde-Fertigungsverfahrens Gewindefurchen." Kassel : Kassel Univ. Press, 2005. http://deposit.d-nb.de/cgi-bin/dokserv?idn=981992331.
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Chiocchetti, Simone. "High order numerical methods for a unified theory of fluid and solid mechanics." Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/346999.
Full textAbstract:
This dissertation is a contribution to the development of a unified model of
continuum mechanics, describing both fluids and elastic solids as a general
continua, with a simple material parameter choice being the distinction
between inviscid or viscous fluid, or elastic solids or visco-elasto-plastic
media. Additional physical effects such as surface tension, rate-dependent
material failure and fatigue can be, and have been, included in the same
formalism.
The model extends a hyperelastic formulation of solid mechanics in
Eulerian coordinates to fluid flows by means of stiff algebraic relaxation
source terms. The governing equations are then solved by means of high
order ADER Discontinuous Galerkin and Finite Volume schemes on fixed
Cartesian meshes and on moving unstructured polygonal meshes with
adaptive connectivity, the latter constructed and moved by means of a in-
house Fortran library for the generation of high quality Delaunay and Voronoi
meshes.
Further, the thesis introduces a new family of exponential-type and semi-
analytical time-integration methods for the stiff source terms governing
friction and pressure relaxation in Baer-Nunziato compressible multiphase
flows, as well as for relaxation in the unified model of continuum mechanics,
associated with viscosity and plasticity, and heat conduction effects.
Theoretical consideration about the model are also given, from the
solution of weak hyperbolicity issues affecting some special cases of the
governing equations, to the computation of accurate eigenvalue estimates, to
the discussion of the geometrical structure of the equations and involution
constraints of curl type, then enforced both via a GLM curl cleaning method,
and by means of special involution-preserving discrete differential operators,
implemented in a semi-implicit framework.
Concerning applications to real-world problems, this thesis includes
simulation ranging from low-Mach viscous two-phase flow, to shockwaves in
compressible viscous flow on unstructured moving grids, to diffuse interface
crack formation in solids.
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Li, Ziyun. "Haptic Dissection of Deformable Objects using Extended Finite Element Method." Thesis, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31445.
Full textAbstract:
Interactive dissection simulation is an important research topic in the virtual reality (VR) community.
There are many efforts on this topic; however, most of them focus on building a realistic simulation system regardless of the cost, and they often require expensive workstations and specialized haptic devices which prevent broader adoption.
We show how to build a realistic dissection simulation at an affordable cost, which opens up applications in elementary education for virtual dissections which are currently not feasible.
In this thesis, we present a fast and robust haptic system for interactive dissection simulations of finite elements based deformable objects which supports two type of haptic interactions: point contacts and cuts.
We design a semi-progressive virtual dissection scheme of deformable objects in a real-time application.
The quality and performance of visual/haptic feedback is demonstrated on a low-end commercial desktop PC with a haptic device.
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Beuchler, Sven. "Wavelet preconditioners for the p-version of the fem." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600607.
Full textAbstract:
In this paper, we consider domain decomposition preconditioners for a system of linear algebraic equations arising from the p-version of the fem. We propose several multi-level preconditioners for the Dirichlet problems in the sub-domains in two and three dimensions. It is proved that the condition number of the preconditioned system is bounded by a constant independent of the polynomial degree. The proof uses interpretations of the p-version element stiffness matrix and mass matrix on [-1,1] as h-version stiffness matrix and weighted mass matrix. The analysis requires wavelet methods.
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Cenanovic, Mirza. "Finite element methods on surfaces." Licentiate thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-28424.
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The purpose of this thesis is to improve numerical simulations of surface problems. Two novel computational concepts are analyzed and applied on two surface problems; minimal surface problems and elastic membrane problems. The concept of tangential projection implies that direct computation on the surface is made possible compared to the classical approach of mapping 2D parametric surfaces to 3D surfaces by means of differential geometry operators. The second concept presented is the cut finite element method, in which the basic idea of discretization is to embed the d- 1-dimensional surface in a d-dimensional mesh and use the basis functions of a higher dimensional mesh but integrate over the surface. The aim of this thesis is to present the basics of the two main approaches and to provide details on the implementation.
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Dogan, Abdulkadir. "Petrov-Galerkin finite element methods." Thesis, Bangor University, 1997. https://research.bangor.ac.uk/portal/en/theses/petrovgalerkin-finite-element-methods(4d767fc7-4ad1-402a-9e6e-fd440b722406).html.
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Palmerini, Claudia. "On the smoothed finite element method in dynamics: the role of critical time step for linear triangular elements." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.
Find full textAbstract:
Il metodo agli elementi finiti (FEM) è molto utilizzato per risolvere problemi strutturali in diversi ambiti dell’ingegneria. Negli anni, è stata sviluppata una famiglia di nuovi metodi ottenuta combinando il FEM standard con la tecnica “strain smoothing”, giungendo ai cosiddetti “smoothed finite element method” (SFEM). In questa tesi, l’attenzione è stata concentrata sul node-based SFEM (NS-FEM) e sull'edge-based SFEM (ES-FEM), che appartengono a questa nuova famiglia di metodi. Dopo una literature review, volta a metterne in luce le proprietà e gli aspetti fondamenti, i due metodi sono stati confrontati con il FEM standard. L'implementazione dei due metodi è stata eseguita con il software MATLAB. Lo studio è stato fatto in ambito dinamico, utilizzando due metodi di integrazione numerica nel tempo: il metodo delle differenze centrali e il metodo di Runge-Kutta. Come problema test è stato studiato il problema delle vibrazioni libere di un elemento strutturale in stato piano di tensione. Il confronto è stato portato avanti su due fronti: il costo computazionale dei metodi ed il calcolo del “critical time step”. I risultati hanno mostrato che il NS-FEM e l'ES-FEM hanno un costo maggiore rispetto al FEM standard, mentre, lato critical time step, sono paragonabil al FEM standard.
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Damme, Sabine. "Zur Finite-Element-Modellierung des stationären Rollkontakts von Rad und Schiene." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2007. http://nbn-resolving.de/urn:nbn:de:swb:14-1178280100443-79279.
Full textAbstract:
Gegenstand dieser Arbeit ist die Bereitstellung eines geeigneten Simulationswerkzeuges für die numerische Untersuchung der beim Rollkontakt zwischen Rad und Schiene auftretenden Phänomene. Hierbei liegt das Hauptaugenmerk auf der kontinuumsmechanischen Formulierung des mechanischen Feldproblems kontaktierender Körper sowie dessen numerischer Lösung mittels der Finite-Element-Methode. Zur Reduzierung des bei der Simulation von Rollkontakt aus der notwendigen sehr feinen Diskretisierung der Kontaktgebiete resultierenden numerischen Aufwandes wird eine relativkinematische Beschreibung herangezogen. Diese gemischte LAGRANGE-EULER-Betrachtungsweise beruht auf der Zerlegung der Bewegung in einen Starrkörperanteil und eine dazu relative Deformation. Die Herleitung der Bewegungsgleichung für das Kontaktproblem erfordert die relativkinematische Formulierung der kontinuumsmechanischen Grundgleichungen, d.h. der Bilanzgleichungen sowie der konstitutiven Beziehungen. Eine geeignete Kontaktmechanik einschließlich der Berücksichtigung des Kontakts rauer Oberflächen und veränderlicher Kontaktrandbedingungen ist ebenfalls notwendig. Die physikalische Einbindung der Körper in die Umgebung erfolgt über NEUMANNsche und DIRICHLETsche Randbedingungen. Auf dieser Basis können die Bewegungsgleichungen der Elastomechanik hergeleitet werden, welche sich jedoch einer analytischen Lösung verschließen. Somit werden sie in ihrer schwachen Form im integralen Mittel formuliert, was der Anwendung des Prinzips der virtuellen Verschiebungen als Ausgangspunkt für die numerische Lösung entspricht. Die rechentechnische Umsetzung erfordert die inkrementelle und diskrete Formulierung der Bewegungsgleichungen unter besonderer Beachtung der Trägheits-und Kontaktterme, wobei auf die Unterscheidung zwischen Haften und Gleiten beim Tangentialkontakt besonderes Augenmerk gelegt wird. Die numerische Lösung des Finite-Element-Gleichungssystems liefert den aktuellen Beanspruchungszustand zweier Körper im Rollkontakt. Die Funktionsfähigkeit der entwickelten Algorithmen wird abschließend anhand aussagekräftiger Beispielrechnungen zum statischen Kontakt und zum stationären Rollkontakt demonstriert, deren Ergebnisse gute Übereinstimmung mit analytischen Vergleichslösungen, soweit verfügbar, aufweisenScope of this work is the preparation of a suitable simulation tool for the numerical investigation of rolling contact phenomena. The main focus lies on the continuum–mechanical formulation of the mechanical field problem of contacting bodies and its numerical solution within the framework of the Finite Element Method. For reducing the numerical effort in rolling contact simulation, induced by the necessity of a very fine discretization within the expected contact area, a relative–kinematical description is utilized. This arbitrary LAGRANGian–EULERian approach is based upon the decomposition of the total motion into a rigid body motion and a superimposed deformation. The derivation of the equation of motion for the contact problem requires the relative–kinematical formulation of the continuum–mechanical fundamental equations, i. e. the balance equations and the constitutive relations. A suitable contact model including the contact of rough surfaces and varying contact boundary conditions is also necessary. The physical embedding into the environment is accomplished by NEUMANN and DIRICHLET boundary conditions. Based upon that foundation the elastomechanics’ equations of motion are derived, which however can not be solved analytically in general. Hence, the equations of motion are transferred into their weak form by the application of the principle of virtual displacements serving for the numerical solution. The implementation of the problem demands for an incremental and discrete formulation of the equations, especially regarding the terms of inertia and the contact terms. Thereby, special attention has to be paid to the distinction between sticking and sliding within the framework of the tangential contact analysis. The numerical solution of the finite elements’ system of equations provides the state of stress, displacement and contact of two bodies in rolling contact. The reliability of the developed algorithms is finally verified by means of meaningful numerical examples for both static contact and for stationary rolling contact, whereby the numerical results coincide well with available analytical reference solutions
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Melnikov, Anton. "Strukturzuverlässigkeit durch Frequenzganganalyse mit Finite-Elemente-Methode im Rahmen des Projektes DRESDYN." Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-226090.
Full textAbstract:
Im Rahmen des Projektes DRESDYN wird einem mit Fluid gefülltem rotierenden Behälter eine Präzession aufgezwungen. Durch Fertigungsungenauigkeiten und andere Einflusse weicht die Position des Masseschwerpunktes des Behälters von den Rotationsachsen ab, was zu harmonischen Kräften in der Behälterlagerung führt. Die Eigenfrequenzen der Unterkonstruktion liegen relativ niedrig, was eine zeitdiskrete quasistatische Betrachtung nicht mehr erlaubt. Eine transiente Analyse würde dagegen bei der Anzahl an Lastfällen einen viel zu großen Rechenaufwand verursachen. Da die Kräfte in einen statischen und harmonischen Anteil zerlegt werden können, kann die Frequenzganganalyse alternativ zur Lösung des Problems verwendet werden. Die Expansion der harmonischen Lösung liefert die diskreten Zeitschritte der Reaktionskraft- und Spannungsamplituden, welche für einen Ermüdungsfestigkeitsnachweis verwertet werden können.
29
Lau, Sum-hung. "Adaptive FEM preprocessing for electro magnetic field analysis of electric machines /." Hong Kong : University of Hong Kong, 1995. http://sunzi.lib.hku.hk/hkuto/record.jsp?B17505823.
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Iatridis, Konstantin. "Temperaturoptionen für die Elemente BITO und TORU des FEM-Programms COSA." [S.l.] : Universität Stuttgart , Zentrale Universitätseinrichtung (RUS, UB etc.), 1996. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB6783421.
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Damme, Sabine. "Zur Finite-Element-Modellierung des stationären Rollkontakts von Rad und Schiene." Doctoral thesis, Technische Universität Dresden, 2006. https://tud.qucosa.de/id/qucosa%3A24869.
Full textAbstract:
Gegenstand dieser Arbeit ist die Bereitstellung eines geeigneten Simulationswerkzeuges für die numerische Untersuchung der beim Rollkontakt zwischen Rad und Schiene auftretenden Phänomene. Hierbei liegt das Hauptaugenmerk auf der kontinuumsmechanischen Formulierung des mechanischen Feldproblems kontaktierender Körper sowie dessen numerischer Lösung mittels der Finite-Element-Methode. Zur Reduzierung des bei der Simulation von Rollkontakt aus der notwendigen sehr feinen Diskretisierung der Kontaktgebiete resultierenden numerischen Aufwandes wird eine relativkinematische Beschreibung herangezogen. Diese gemischte LAGRANGE-EULER-Betrachtungsweise beruht auf der Zerlegung der Bewegung in einen Starrkörperanteil und eine dazu relative Deformation. Die Herleitung der Bewegungsgleichung für das Kontaktproblem erfordert die relativkinematische Formulierung der kontinuumsmechanischen Grundgleichungen, d.h. der Bilanzgleichungen sowie der konstitutiven Beziehungen. Eine geeignete Kontaktmechanik einschließlich der Berücksichtigung des Kontakts rauer Oberflächen und veränderlicher Kontaktrandbedingungen ist ebenfalls notwendig. Die physikalische Einbindung der Körper in die Umgebung erfolgt über NEUMANNsche und DIRICHLETsche Randbedingungen. Auf dieser Basis können die Bewegungsgleichungen der Elastomechanik hergeleitet werden, welche sich jedoch einer analytischen Lösung verschließen. Somit werden sie in ihrer schwachen Form im integralen Mittel formuliert, was der Anwendung des Prinzips der virtuellen Verschiebungen als Ausgangspunkt für die numerische Lösung entspricht. Die rechentechnische Umsetzung erfordert die inkrementelle und diskrete Formulierung der Bewegungsgleichungen unter besonderer Beachtung der Trägheits-und Kontaktterme, wobei auf die Unterscheidung zwischen Haften und Gleiten beim Tangentialkontakt besonderes Augenmerk gelegt wird. Die numerische Lösung des Finite-Element-Gleichungssystems liefert den aktuellen Beanspruchungszustand zweier Körper im Rollkontakt. Die Funktionsfähigkeit der entwickelten Algorithmen wird abschließend anhand aussagekräftiger Beispielrechnungen zum statischen Kontakt und zum stationären Rollkontakt demonstriert, deren Ergebnisse gute Übereinstimmung mit analytischen Vergleichslösungen, soweit verfügbar, aufweisen.Scope of this work is the preparation of a suitable simulation tool for the numerical investigation of rolling contact phenomena. The main focus lies on the continuum–mechanical formulation of the mechanical field problem of contacting bodies and its numerical solution within the framework of the Finite Element Method. For reducing the numerical effort in rolling contact simulation, induced by the necessity of a very fine discretization within the expected contact area, a relative–kinematical description is utilized. This arbitrary LAGRANGian–EULERian approach is based upon the decomposition of the total motion into a rigid body motion and a superimposed deformation. The derivation of the equation of motion for the contact problem requires the relative–kinematical formulation of the continuum–mechanical fundamental equations, i. e. the balance equations and the constitutive relations. A suitable contact model including the contact of rough surfaces and varying contact boundary conditions is also necessary. The physical embedding into the environment is accomplished by NEUMANN and DIRICHLET boundary conditions. Based upon that foundation the elastomechanics’ equations of motion are derived, which however can not be solved analytically in general. Hence, the equations of motion are transferred into their weak form by the application of the principle of virtual displacements serving for the numerical solution. The implementation of the problem demands for an incremental and discrete formulation of the equations, especially regarding the terms of inertia and the contact terms. Thereby, special attention has to be paid to the distinction between sticking and sliding within the framework of the tangential contact analysis. The numerical solution of the finite elements’ system of equations provides the state of stress, displacement and contact of two bodies in rolling contact. The reliability of the developed algorithms is finally verified by means of meaningful numerical examples for both static contact and for stationary rolling contact, whereby the numerical results coincide well with available analytical reference solutions.
32
Kleiven, Svein. "Finite Element Modeling of the Human Head." Doctoral thesis, KTH, Farkost- och flygteknik, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3347.
Full textAbstract:
The main objectives of the present thesis were to define the dimension of head injuries in Sweden over a longer period and to present a Finite Element (FE) model of the human head which can be used for preventive strategies in the future. The annual incidence of head injuries in Sweden between 1987 and 2000 was defined at over 22 000, cases most of which were mild head injuries. In contrast to traffic accidents, head injuriy due to fall was the most important etiology. Of special interest was that the number of hematoma cases has increased. A detailed and parameterized FE model of the human head was developed and used to evaluate the effects of head size, brain size and impact directions. The maximal effective stresses in the brain increased more than a fourfold, from 3.6 kPa for the smallest head size to 16.3 kPa for the largest head size using the same acceleration impulse. The size dependence of the intracranial stresses associated with injury is not predicted by the Head Injury Criterion (HIC). Simulations with various brain sizes indicated that the increased risk of Subdural Hematoma (SDH) in elderly people may to a part be explained by the reduced brain size resulting in a larger relative motion between the skull and the brain with distension of bridging veins. The consequences of this increased relative motion due to brain atrophy cannot be predicted by existing injury criteria. From studies of the influence of impact directions to the human head, the highest shear strain in the brain stem is found for a Superior-Inferior (SI) translational impulse, and in the corpus callosum for a lateral rotational impulse when imposing acceleration pulses corresponding to the same impact power. It was concluded that HIC is unable to predict consequences of a pure rotational impulse, while the Head Impact Power (HIP) criterion needs individual scaling coefficients for the different terms to account for differences in intracranial response due to a variation in load direction. It is also suggested that a further evaluation of synergic effects of the directional terms of the HIP is necessary to include combined terms and to improve the injuryprediction. Comparison of the model with experiments on localized motion of the brain shows that the magnitude and characteristics of the deformation are highly sensitive to the shear properties of the brain tissue. The results suggest that significantly lower values of these properties of the human brain than utilized in most 3D FE models today must be used to be able to predict the localised brain response of an impact to the human head. There is a symmetry in the motion of the superior and inferior markers for both the model and the experiments following a sagittal and a coronal impact. This can possibly be explained by the nearly incompressible properties of brain tissue. Larger relative motion between the skull and the brain is more apparent for an occipital impact than for a frontal one in both experiments and FE model. This correlates with clinical findings. Moreover, smaller relative motion between the skull and the brain is more apparent for a lateral impact than for a frontal one for both experiments and FE model. This is thought to be due to the supporting structure of the falx cerebri. Such a parametrized and detailed 3D model of the human head has not, to the best knowledge of the author, previously been developed. This 3D model is thought to be of significant value for looking into the effects of geometrical variations of the human head.QC 20100428
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Bedoya, Cervera Jose Julian. "Stent design and arterial mechanics: parameterization tools using the finite element method." Texas A&M University, 2003. http://hdl.handle.net/1969.1/5812.
Full textAbstract:
Vascular stents are medical devices used to treat stenoses blockages in arteries
that restrict blood flow. Most commonly, stents are made out of stainless steel or nitinol,
and are delivered to the afflicted sites via catheter-based delivery systems. Usually, stents
are balloon-expandable or self-expanding. In order for the treated vessel to remain
patent, it is necessary that the stents be oversized to prevent flow-induced or pressureinduced
stent migration. Furthermore, stents must be rigid enough to prevent the collapse
of the vessel, allowing the free passage of blood. However, it has been observed that the
presence of the stent in the artery triggers adverse biological responses such as neointinal
hyperplasia, often times culminating in restenosis. Extensive research external to this
investigation has elucidated evidence to suggest that the abnormally high stresses
imparted to the arterial wall as a result of stenting are an important factor in the treatment
and development of cardiovascular diseases. Furthermore, normal physiologic diameter
flcutuations between systole and diastole produce beneficial biological responses in the
artery wall. The primary purpose of this study was to investigate specific stent design
criteria that minimize the stress field in the arterial wall to mitigate the impact of
restenosis. Commerically available finite element software was used to design the stents parametrically, and perform the stress analysis on a hyperelastic arterial model, including
the effects of contact between the artery and stent. Seven stent geometries were uniquely
defined by varying strut-spacing, ring amplitude, and crown radii of curvature. Stent
designs with large strut spacing, large ring amplitude and a greater than zero radius of
curvature imparted the less severe stress field in the arterial wall as well as maximizing
vessel deflection between systole and diastole. In contrast, stents with small strut
spacing, small amplitudes and zero radius of curvature at the crowns imparted
significantly higher stresses. The small strut spacing and small amplitude created stiffer
stents, prventing the artery from experiencing physiologic diameter fluctuations between
systole and diastole. Evidence presented herein suggests that strut spacing should be as
wide as possible without causing pillowing of the arterial wall into the stent.
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O, Chol Gyu. "Shape optimization for Two-Dimensional transonic airfoil by using the coupling of FEM and BEM." [S.l. : s.n.], 2006. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-26978.
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Zeng, Wei. "Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306.
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Lins, Rafael Marques. "A posteriori error estimations for the generalized finite element method and modified versions." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-03092015-083839/.
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This thesis investigates two a posteriori error estimators, based on gradient recovery, aiming to fill the gap of the error estimations for the Generalized FEM (GFEM) and, mainly, its modified versions called Corrected XFEM (C-XFEM) and Stable GFEM (SGFEM). In order to reach this purpose, firstly, brief reviews regarding the GFEM and its modified versions are presented, where the main advantages attributed to each numerical method are highlighted. Then, some important concepts related to the error study are presented. Furthermore, some contributions involving a posteriori error estimations for the GFEM are shortly described. Afterwards, the two error estimators hereby proposed are addressed focusing on linear elastic fracture mechanics problems. The first estimator was originally proposed for the C-XFEM and is hereby extended to the SGFEM framework. The second one is based on a splitting of the recovered stress field into two distinct parts: singular and smooth. The singular part is computed with the help of the J integral, whereas the smooth one is calculated from a combination between the Superconvergent Patch Recovery (SPR) and Singular Value Decomposition (SVD) techniques. Finally, various numerical examples are selected to assess the robustness of the error estimators considering different enrichment types, versions of the GFEM, solicitant modes and element types. Relevant aspects such as effectivity indexes, error distribution and convergence rates are used for describing the error estimators. The main contributions of this thesis are: the development of two efficient a posteriori error estimators for the GFEM and its modified versions; a comparison between the GFEM and its modified versions; the identification of the positive features of each error estimator and a detailed study concerning the blending element issues.Esta tese investiga dois estimadores de erro a posteriori, baseados na recuperação do gradiente, visando preencher o hiato das estimativas de erro para o Generalized FEM (GFEM) e, sobretudo, suas versões modificadas denominadas Corrected XFEM (C-XFEM) e Stable GFEM (SGFEM). De modo a alcançar este objetivo, primeiramente, breves revisões a respeito do GFEM e suas versões modificadas são apresentadas, onde as principais vantagens atribuídas a cada método são destacadas. Em seguida, alguns importantes conceitos relacionados ao estudo do erro são apresentados. Além disso, algumas contribuições envolvendo estimativas de erro a posteriori para o GFEM são brevemente descritas. Posteriormente, os dois estimadores de erro propostos neste trabalho são abordados focando em problemas da mecânica da fratura elástico linear. O primeiro estimador foi originalmente proposto para o C-XFEM e por este meio é estendido para o âmbito do SGFEM. O segundo é baseado em uma divisão do campo de tensões recuperadas em duas partes distintas: singular e suave. A parte singular é calculada com o auxílio da integral J, enquanto que a suave é calculada a partir da combinação entre as técnicas Superconvergent Patch Recovery (SPR) e Singular Value Decomposition (SVD). Finalmente, vários exemplos numéricos são selecionados para avaliar a robustez dos estimadores de erro considerando diferentes tipos de enriquecimento, versões do GFEM, modos solicitantes e tipos de elemento. Aspectos relevantes tais como índices de efetividade, distribuição do erro e taxas de convergência são usados para descrever os estimadores de erro. As principais contribuições desta tese são: o desenvolvimento de dois eficientes estimadores de erro a posteriori para o GFEM e suas versões modificadas; uma comparação entre o GFEM e suas versões modificadas; a identificação das características positivas de cada estimador de erro e um estudo detalhado sobre a questão dos elementos de mistura.
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Wong, S.-W. "Element-by-element methods in transient analysis." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383902.
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Mekchay, Khamron. "Convergence of adaptive finite element methods." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/3216.
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Thesis (Ph. D.) -- University of Maryland, College Park, 2005.Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Zeng, Yang. "Finite Element Methods for Microelectromechanical Systems." Thesis, Uppsala University, Department of Information Technology, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-110896.
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The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechanical (MEMS) applications. In our paper, we derive a finite element method for this problem and introduce iterative solution-techniques to compute the numerical simulation. Further we construct an adaptive algorithm for mesh refinement based on a posteriori error estimation.Finally, we present two numerical tests: convergences analysis of different iterative methods for distinct materials which are classified by electrical conductivities, and a test of the new adaptive refinement algorithm. All the numerical implementations have been done in MATLAB.
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Samvin, David. "Finite Element Methods for Interface Problems." Licentiate thesis, Jönköping University, JTH, Industriell produktutveckling, produktion och design, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-54570.
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This thesis focuses on computationally efficient methods for flow in fractured porous media. Two approaches are presented where the interface is embedded on the underlying finite element mesh. The methods allow for representation of the interface geometry from the underlying discretization and with discontinuities across the interface. However, embedding interfaces raises stability concerns in which we alleviate using stabilization terms. The aim of this thesis is to present the basics of the two main approaches and to provide brief details on the mathematics involved.Denna avhandling fokuserar på effektiva beräkningsmetoder för flöde i porösa media med sprickor. Två tillvägagångssätt presenteras där sprickan tillåts skära det underliggande finita elementnätet. Sprickans inverkan på flödet tas om hand med hjälp av den underliggande diskretiseringen som tillåter diskontinuiteter. Med andra ord kan flöden modelleras med olika egenskaper; på var sida av sprickan, samt längs sprickan. Metoden tar även hand om instabilitet som uppstår dels på grund av godtyckliga skärningar av bakgrundselementen och dels på grund av olika materialegenskaper. Syftet med denna avhandling är att presentera grunderna för dessa metoder och ge grundläggande matematiska förklaringar.
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Chaabane, Nabil. "Immersed and Discontinuous Finite Element Methods." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/73194.
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In this dissertation we prove the superconvergence of the minimal-dissipation local discontinuous Galerkin method for elliptic problems and construct optimal immersed finite element approximations and discontinuous immersed finite element methods for the Stokes interface problem.
In the first part we present an error analysis for the minimal dissipation local discontinuous Galerkin method applied to a model elliptic problem on Cartesian meshes when polynomials of degree at most $k$ and an appropriate approximation of the boundary condition are used. This special approximation allows us to achieve $k + 1$ order of convergence for both the potential and its gradient in the $L^2$ norm. Here we improve on existing estimates for the solution gradient by a factor $sqrt{h}$.
In the second part we present discontinuous immersed finite element (IFE) methods for the Stokes interface
problem on Cartesian meshes that does not require the mesh to be aligned with the interface. As such, we allow unfitted meshes that are cut by the interface. Thus, elements may contain more than one fluid. On these unfitted meshes we construct an immersed $Q_1/Q_0$ finite element approximation that depends on the location of the interface. We discuss the basic features of the proposed $Q_1/Q_0$ IFE basis functions such as the unisolvent property. We present several numerical examples to demonstrate that the proposed IFE approximations applied to solve interface Stokes problems maintain the optimal approximation capability of their standard counterpart applied to solve the homogeneous Stokes problem. Similarly, we also show that discontinuous Galerkin IFE solutions of
the Stokes interface problem maintain the optimal convergence rates in both $L^2$ and broken $H^1$ norms.
Furthermore, we extend our method to solve the axisymmetric Stokes interface problem with a moving interface and test the proposed method by solving several benchmark problems from the literature.Ph. D.
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Cenanovic, Mirza. "Finite element methods for surface problems." Doctoral thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH, Produktutveckling, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-35369.
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The purpose of this thesis is to further develop numerical methods for solving surface problems by utilizing tangential calculus and the trace finite element method. Direct computation on the surface is possible by the use of tangential calculus, in contrast to the classical approach of mapping 2D parametric surfaces to 3D surfaces by means of differential geometry operators. Using tangential calculus, the problem formulation is only dependent on the position and normal vectors of the 3D surface. Tangential calculus thus enables a clean, simple and inexpensive formulation and implementation of finite element methods for surface problems. Meshing techniques are greatly simplified from the end-user perspective by utilizing an unfitted finite element method called the Trace Finite Element Method, in which the basic idea is to embed the surface in a higher dimensional mesh and use the shape functions of this background mesh for the discretization of the partial differential equation. This method makes it possible to model surfaces implicitly and solve surface problems without the need for expensive meshing/re-meshing techniques especially for moving surfaces or surfaces embedded in 3D solids, so called embedded interface problems. Using these two approaches, numerical methods for solving three surface problems are proposed: 1) minimal surface problems, in which the form that minimizes the mean curvature was computed by iterative update of a level-set function discretized using TraceFEM and driven by advection, for which the velocity field was given by the mean curvature flow, 2) elastic membrane problems discretized using linear and higher order TraceFEM, which makes it straightforward to embed complex geometries of membrane models into an elastic bulk for reinforcement and 3) stabilized, accurate vertex normal and mean curvature estimation with local refinement on triangulated surfaces. In this thesis the basics of the two main approaches are presented, some aspects such as stabilization and surface reconstruction are further developed, evaluated and numerically analyzed, details on implementations are provided and the current state of work is presented.
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Huang, Yihan. "Extrusion die design using finite element method for sheet and pipe dies." Thesis, Nottingham Trent University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297736.
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Dostál, Tomáš. "Návrh ražby a primárního ostění tunelu na stavbě vysokorychlostního železničního spojení." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2020. http://www.nusl.cz/ntk/nusl-409747.
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As part of modernization of the Brno-Přerov railway line, is in the section between village Blažovice and town Vyškov desined tunnel composed of two monorail tubes about 640 meters length. Tubes are situated in neogenic clay with an overburden height of 11 meters. This master thesis deals with design suitable tunnel exavation, primary lining with static calculation and geotechnical monitoring.
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Of, Günther, Gregory J. Rodin, Olaf Steinbach, and Matthias Taus. "Coupling Methods for Interior Penalty Discontinuous Galerkin Finite Element Methods and Boundary Element Methods." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-96885.
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This paper presents three new coupling methods for interior penalty discontinuous Galerkin finite element methods and boundary element methods. The new methods allow one to use discontinuous basis functions on the interface between the subdomains represented by the finite element and boundary element methods. This feature is particularly important when discontinuous Galerkin finite element methods are used. Error and stability analysis is presented for some of the methods. Numerical examples suggest that all three methods exhibit very similar convergence properties, consistent with available theoretical results.
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Huang, Huai Hui. "Simulação da formação de cavacos usando FEM (Finite Element Method) - temperatura e força." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/18/18145/tde-11122007-162007/.
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A distribuição de temperatura, as deformações e as forças na zona de corte durante a formação de cavacos são muito importantes, pois têm grande influência nos resultados dos processos de usinagem como um todo. O desgaste das ferramentas, a precisão das operações de usinagem (dilatação térmica) e o acabamento superficial são alguns desses resultados que afetam a economia do processo. Este trabalho tem o objetivo uma avaliação das potencialidades oferecidas pela simulação da formação de cavacos usando-se FEM (Finite Element Method). Quatros modelos com princípios bastante diferentes são utilizados explorando-se as mais recentes inovações em termos de recursos oferecidos pelo software ABAQUS/Explicit. Nos modelos utilizam-se ferramentas de substrato WC recoberto com TiN usinado aços AISI 4340. As simulações proporcionam o estudo e exame detalhado da distribuição de temperatura, deformações, forças de corte, fluxo de material e uma enorme quantidade de informações que poderão ser muito úteis para a análise de novos processos, otimização de processos existentes, além de abrir novos horizontes no estudo da formação de cavacos. As simulações também demonstram que a complexidade da formação de cavacos cria muitas dificuldades para sua análise usando equações analíticas baseadas em constantes.The distribution of temperature, the deformations and the cutting forces in the cutting zone during chip formation are very important aspects of the process. Therefore they have great influence in results of machining. Tool wear, the precision of the machining operations and the finishing superface are some of these results that affect the economy of the process. This work has the objective of an evaluation offered potentialities for simulating chip formation using FEM (Finite Element Method). Four models with sufficiently different principles are used to exploring the most recent innovations in terms of resources offered by ABAQUS/Explicit software. In the models, WC tools coated TiN was used to machine AISI 4340 steel. The simulations provide a study and detailed examination of temperature distribution, deformations, cutting forces, flow of material and an enormous amount of information that could be useful for the analysis of new processes and optimization of existing processes. Additionally, they open new horizon in the study of the chip formation. The simulations also demonstrate the complexity of the chip formation process, which creates many difficulties for its analysis using based analytical equations in constants. Some comparisons are established with experimental results found in temperature measurements.
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Tumonis, Liudas. "Simulation of mechanical behaviour of the electromagnetic railgun by finite element method." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100303_124423-17934.
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The numerical analysis of electromagnetic railgun dynamics under transient load is considered in current PhD thesis. The object of investigation is electro-magnetic accelerator EMA-3 at French-German institute of Sain-Louis (ISL). The aim of work covers the development of the finite element model of the EMA-3 rail gun and its application for investigation of the mechanical behaviour of railgun under differently induced loading regimes.
There are several tasks under consideration. The first one is development of the finite element model. The 2D model consisting of four node plane and elastic springs was suggested and examined. The second one is evaluation of influence particular loading to dynamic behaviour and giving of recommendations.
This thesis contains introduction, four chapters, the summary of results and conclusions, and the list of cited literature and list of publications of the author.
In introductory chapter, the problem is formulated and relevance of the work is discussed. The goals and objectives of the work, research methodology and scientific novelty, practical significance and defended propositions are briefly described. Publications and reports at conferences on the theme of dissertation are presented at the end of introduction.
The first chapter covers the review of the references on the electromagnetic railgun. It contains description of the development history, physical principles and decisive factors. Later, the gun structure is considered with the... [to full text]Disertacijoje baigtinių elementų metodu nagrinėjamas elektromagnetinės šaudyklės (EMŠ) konstrukcinių dalių mechaninis būvis, veikiant dinaminei ap-krovai. Tyrimo objektas yra EMŠ „EMA-3“. Šaudyklės mechaninė dalis sudaryta iš elektrai laidžių bėgių, pritvirtintų prie dielektrinio pagrindo. Tiriama mechani-nio būvio rodiklių priklausomybė nuo apkrovos pobūdžio ir šaudyklės bėgių įtvirtinimo. Šaudyklės mechaninio būvio nustatymas jos darbo metu leistų tiks-liau prognozuoti jos elgseną, pagreitintų projektavimą, tobulinimą ir atpigintų eksploatavimą. Disertacijos tikslas yra skaitiniais metodais aprašyti ir ištirti šau-dyklės mechaninį deformavimą, veikiant dinaminei apkrovai, ištirti mechaninio būvio rodiklių priklausomybes nuo apkrovos parametrų, palyginti skirtingus ap-krovų režimus. Remiantis gautais skaičiavimo rezultatais, siekiama įvertinti šių veiksnių įtaką ir teikti siūlymus režimų patobulinimui. Darbe spręsti keli uždaviniai: sudarytas ir ištirtas „EMA-3“ šaudyklės skaiti-nis baigtinių elementų modelis. Pasiūlytais rodikliais įvertintas šaudyklės mecha-ninis būvis ir palyginta realių apkrovų įtaką bėgių deformavimui. Uždaviniai su-formuluoti atsižvelgiant į esamų modelių ribotumą, į šaudyklės rezonansinę elgseną kritinio greičio aplinkoje ir į tinkamo darbinio režimo parinkimo proble-mą. Disertaciją sudaro įvadas ir keturi skyriai. Įvade apibrėžta tyrimų sritis ir aktualumas, aprašyta mokslo problema, su-formuluotas darbo tikslas ir uždaviniai, paminėti naudoti tyrimo... [toliau žr. visą tekstą]
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Karasan, Mustafa Murat. "Residual Stress Analysis Of Riveting Process Using Finite Element Method." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/2/12608997/index.pdf.
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Rivets are widely used as a means of fastening in airframe construction industry. There are various types of riveted joints on an aircraft fuselage or on a helicopter body. Among the other types of fasteners riveted joints are preferred in such applications due totheir permanence after installation and their economical advantages. In a riveted joint, it is known that residual stresses are present as a result of the installation process. Furthermore, during the flight of an aircraft, the fuselage is loaded in one cycle and such cycles are repeated throughout the service life. As a result, the panels and the rivets are subjected to fatigue type loading. The integrity of the joint must be maintained against this combination of service loads and the residual stresses. Hence, the riveting process parameters which influence the residual stresses are utmost critical in terms of fatigue life of the hole body. In this study it is aimed to obtain an accurate numerical model of a single-lap riveted joint which is widely used in airframes. 2-D axisymmetrical and 3-D numerical models are generated using commercial finite element code ABAQUS/CAE and subsequent parametric studies are carried out on these models. The Results of both models are compared with those found in the literature. Clearance between hole and rivet shank is selected as the primary parameter to be inspected. The effects of hole clearance on the final residual stress field are examined on 2-D and 3D models. Furthermore, a through the thickness, crack on the inner panel which is initiated after installation is modeled. The crack is perpendicular to the direction of loading. It is placed to the residual tensile stress zone that surrounds the rivet hole. Hence, the effects of residual stresses are also taken into account. For a riveted joint subjected to fatigue loading, such a macroscopic crack could eventually form. In this thesis, stress intensity factors (SIF&rsquo
s) for this crack are calculated for various parameters such as clearance and crack length. These can be utilized in a subsequent fatigue crack growth analysis as the initial values or they can be used in a fracture analysis, to predict unstable crack growth due to overload (i.e. crack linking).
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Bernert, Katrin. "Algorithmus zur adaptiven Neuvernetzung des Werkstückes für die FEM-Simulation des Querwalzens." [S.l. : s.n.], 2004. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB11244006.
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INOUE, NELSON. "IMPLEMENTATION OF A COMPUTER CODE CONSIDERING THE COUPLING OF THE FINITE ELEMENT METHOD (FEM) AND THE BOUNDARY ELEMENT METHOD (BEM)." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1998. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=1522@1.
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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOO presente trabalho tem como principais objetivos estudar a formulação do método dos elementos de contorno e implementar um programa computacional para análise de tensões de problemas bi-dimensionais (estado plano de deformação e axissimetria) considerando também a possibilidade de acoplamento dos métodos dos elementos de contorno (MEC) e dos elementos finitos (MEF). Dentro deste estudo são abordados as soluções fundamentais para materiais linearmente elásticos, a formulação das integrais no contorno, as técnicas para tratamento de singularidade, a utilização de nós duplos para estudos de canto, etc. Os resultados numéricos obtidos em alguns problemas bi-dimensionais pelos métodos dos elementos de contorno e dos elementos finitos, considerando isoladamente ou acoplados, são comparados mutuamente e com soluções analíticas da teoria da elasticidade linear. Vantagens e desvantagens destes métodos, bem como dificuldades de implementação numérica, são discutidas ao longo deste trabalho.
The main objectives of this work are the study of the boundary element formulation as well as the implementation of computer program for stress analyses of bidimensional problems under axisymmetric or plane strain conditions. The computer program also combines the boundary element method (BEM) with the finite element method (FEM) thus permitting its application to wide range of geotechnical problems. In this study research several mathematical aspects of the boundary element method are reviewed, such as the fundamental solutions for elastic materials, contour integration, singularities, corner problems, etc. The numeric results obtained in some 2D problems the BEM and FEM, in a coupled or isolated form, are compared with analytical solutions provided by classical theory of elasticity. Advantages and shortcomings of both methods, as well as the difficulties in the computer implementation, are also discussed in this work.