Gotowe bibliografie tematyczne / Layer Finite Element Method

Gotowa bibliografia na temat „Layer Finite Element Method”

Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 20 lutego 2023

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Artykuły w czasopismach na temat "Layer Finite Element Method"

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Su, Li Jun, Hong Jian Liao, Shan Yong Wang i Wen Bing Wei. "Study of Interface Problems Using Finite Element Method". Key Engineering Materials 353-358 (wrzesień 2007): 953–56. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.953.

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In numerical simulation of engineering problems, it is important to properly simulate the interface between two adjacent parts of the model. In finite element method, there are generally three methods for simulating interface problems: interface element method, surface based contact method and the method by using a thin layer of continuum elements. In this paper, simulation of interface problems is conducted using continuum elements and surface based contact methods. The results from each method are presented and compared with each other.
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Li, You Tang, i Ping Ma. "Finite Geometrically Similar Element Method for Dynamic Fracture Problem". Key Engineering Materials 345-346 (sierpień 2007): 441–44. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.441.

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A finite geometrically similar element method is proposed to determine the dynamic stress intensity factor. A group of geometrically similar elements is automatically generated layer by layer around the point of singularity. The large number of degrees of freedom around the tip of singularity is transformed to a small set of generalized coordinates by means of the series expansion formulas of the displacement field. By taking advantage of the same stiffness and similar mass of similarly shaped elements, the combined stiffness matrix of super-element is obtained directly. The small set of generalized coordinates can be obtained through solving the equation, and then the dynamic stress intensity factor of V-notch (crack) will be obtained. There are some advantages for this method such as good adaptability, high precision and good convenience.
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Yang, Yao, Jun Tang Yuan, Zhen Hua Wang i Biao Yang. "A Prediction Method for Dynamic Performance of Machine Tool Joint Surfaces". Applied Mechanics and Materials 437 (październik 2013): 8–12. http://dx.doi.org/10.4028/www.scientific.net/amm.437.8.

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The method for dynamic modeling of joint surfaces is proposed to predict dynamic performance of machine tool accurately by virtual material layer elements in this paper. For this process, the numerical relations of contact stiffness and virtual material layer parameters are obtained by finite element theory, and the finite element model is founded by virtual material layer elements and multiple point constrain technique (MPC). Modal analysis of a simple model under different contact stiffness is carried out. It has shown the relative errors between theoretical natural frequencies and simulated ones of this model are less than 2%.
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Auersch, Lutz, i Jiaojiao Song. "Dynamic Damage Quantification of Slab Tracks—Finite Element Models on Winkler Soil and Finite-Element Boundary-Element Models on Continuous Soil". CivilEng 3, nr 4 (31.10.2022): 979–97. http://dx.doi.org/10.3390/civileng3040055.

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Train passages over intact or damaged slab tracks on different soils were calculated by two methods. The finite element method (FEM) uses a Winkler soil under the track model by adding a thin “soil layer”. The combined finite-element boundary-element method has a continuous soil model that is included by the boundary element method. The basic results are the distributions of the track (rail, track plate, and base layer) displacements along the track for a single axle load. These solutions were superposed to a complete train load and transformed to time histories. The influence of track and soil parameters was analysed. The main interest was the influence of the track damage. A gap between the track plate and base layer of different lengths was studied for changes in amplitudes and widths of deflection. A best fit to measured track displacements was found so that the track damage could be identified and quantified. The FEM model with the Winkler soil cannot be fitted to the amplitude and width with the same soil parameters. Therefore, the FEBEM model is preferable for these railway track problems.
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Hao, Nan Hai, i Zi Xing Qin. "Application of Finite Element Method to Crack Prediction in Laser Cladding Process". Applied Mechanics and Materials 197 (wrzesień 2012): 372–75. http://dx.doi.org/10.4028/www.scientific.net/amm.197.372.

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The cracks in clad layer are the most often defects in laser cladding of low ductility materials. This paper reports the efforts of crack prediction with finite element method. The process is modeled with commercial FEM software package ANSYS and the thermal-mechanical analysis is performed to inquire the strain-stress variation during cladding, especially the variation around the moment of solidification. The analysis result shows that, by the end of cladding, the clad layer is in tension stress and the stress values are varied in directions. The tension stress along the cladding direction is the maximum one, which causes the cracking in clayed layer. Increasing the preheating temperature of substrate is an effective way to avoid the crack generation.
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Xu, Zhen Ying, Yun Wang, Pei Long Dong i Kai Xiao. "Shrinkage Optimization of Flat Receptacle Using the Finite Element Method". Materials Science Forum 575-578 (kwiecień 2008): 478–82. http://dx.doi.org/10.4028/www.scientific.net/msf.575-578.478.

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Flat receptacle, which is used in extruding the large aluminum profiles, is in harsh work conditions. Due to the irregularity of inner hole of flat receptacle, inconsistent resistance of shrinking fitting affects the inner hole within which nonuniform deformation occurs. If the nonuniformity exceeds the specified dimension accuracy, tiresome work including mould repairing and structure optimization has to be done. ANSYS is used to simulate the flat receptacle. It is shown that the maximum stress appears in the arc area of inner hole. Therefore, we present one new method using the preloaded layer with changeable shrinkage to replace the preloaded layer with uniform shrinkage. Considering the processing and assembling factors, we adopt the elliptical outer layer and circular inner layer as the new structure. Then the optimizations of flat receptacle with uniform and changeable shrinkage are implemented using the optimizing module, receptively. The optimized results show the maximum equivalent stress in the corner of inner-hole decreases about 5.47% if adopting the changeable shrinkage. The numerical simulation results show that the feasibility of changeable shrinkage and elliptical preloaded layer.
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Zhang, Chao, Jianjun Song i Jie Zhang. "Optimization of Laser Recrystallization Process for GeSn Films on Si Substrates Based on Finite Difference Time Domain and Finite Element Method". Journal of Nanoelectronics and Optoelectronics 15, nr 3 (1.03.2020): 376–83. http://dx.doi.org/10.1166/jno.2020.2705.

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GeSn alloy on Si substrate has the advantages of high carrier mobility, high radiation recombination efficiency, compatibility with the Si process, and is widely used in the field of semiconductor optoelectronics. However, due to the high lattice mismatch between the GeSn epitaxial layer and the Si substrate, how to prepare a perfect GeSn film on the Si substrate is an issue. The 808 nm continuous wave laser recrystallization technology can significantly improve the quality of the GeSn alloy epitaxial layer by melting and recrystallization, which provide another technical way for solving this problem. Optimized laser recrystallization related process parameters is necessary when laser recrystallization technology is used to prepare high quality GeSn alloy on Si substrate. For this purpose, the absorption, reflection and transmission models of GeSn alloy epitaxial layer/Si substrate system irradiated by 808 nm continuous wave laser are established using finite difference time domain software FDTD Solutions. The thickness-related process parameters of GeSn alloy epitaxial layer and SiO2 capping layer are optimized. In addition, the temperature distribution model of 808 nm continuous wave laser irradiation of GeSn alloy epitaxial layer on Si substrate system is obtained by COMSOL Multiphysics simulation. The process parameters related to laser recrystallization temperature are optimized and listed, which can be used as important technical references for the growth of low defect density GeSn layer on Si substrate assisted by the laser recrystallization technology.
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Guo, Yong Ming. "A Forging Simulation by Using the Point Collocation Method with a Boundary Layer of Finite Element". Materials Science Forum 594 (sierpień 2008): 45–50. http://dx.doi.org/10.4028/www.scientific.net/msf.594.45.

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Point collocation methods have no mesh, no integration. While, the robustness of the point collocation methods is an issue especially when scattered and random points are used. To improve the robustness, some studies suggest that the positivity conditions can be important when using the point collocation methods. For boundary points, however, the positivity conditions cannot be satisfied, so that it is possible to get large numerical errors from the boundary points when using the point collocation methods. The author has proposed a point collocation method with a boundary layer of finite element. In this method, by introducing a boundary layer of finite element in boundary domain of workpiece, unsatisfactory issue of the positivity conditions of boundary points can be avoided, and the complicated boundary conditions can be easily imposed with the boundary layer of finite element. A forging process is analyzed by using the point collocation method with a boundary layer of finite element.
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GERDES, K., J. M. MELENK, C. SCHWAB i D. SCHÖTZAU. "THE HP-VERSION OF THE STREAMLINE DIFFUSION FINITE ELEMENT METHOD IN TWO SPACE DIMENSIONS". Mathematical Models and Methods in Applied Sciences 11, nr 02 (marzec 2001): 301–37. http://dx.doi.org/10.1142/s0218202501000878.

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The Streamline Diffusion Finite Element Method (SDFEM) for a two-dimensional convection–diffusion problem is analyzed in the context of the hp-version of the Finite Element Method (FEM). It is proved that the appropriate choice of the SDFEM parameters leads to stable methods on the class of "boundary layer meshes", which may contain anisotropic needle elements of arbitrarily high aspect ratio. Consistency results show that the use of such meshes can resolve layer components present in the solutions at robust exponential rates of convergence. We confirm these theoretical results in a series of numerical examples.
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TAGUCHI, Norio, Toshikazu HANAZATO, Yoshio IKEDA i Yoshiaki NAGATAKI. "ANALYSIS METHOD COMBINING FINITE ELEMENT METHOD WITH THIN LAYER METHOD AND ITS APPLICATION". Journal of Environmental Engineering (Transactions of AIJ) 73, nr 626 (2008): 423–29. http://dx.doi.org/10.3130/aije.73.423.

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Rozprawy doktorskie na temat "Layer Finite Element Method"

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Gundu, Krishna Mohan. "hp-Finite Element Method for Photonics Applications". Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/195940.

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A hp-finite element method is implemented to numerically study the modes of waveguides with two dimensional cross-section and to compute electromagnetic scattering from three dimensional objects. A method to control the chromatic dispersion properties of photonic crystal fibers using the selective hole filling technique is proposed. The method is based on a single hole-size fiber geometry, and uses an appropriate index-matching liquid to modify the effective size of the filled holes. The dependence of dispersion properties of the fiber on the design parameters such as the refractive index of the liquid, lattice constant and hole diameter are studied numerically. It is shown that very small dispersion values between 0±0.5ps/nm-km can be achieved over a bandwidth of 430-510nm in the communication wavelength region of 1300-1900nm. Three such designs are proposed with air hole diameters in the range 1.5-2.0μm. A novel multi-core fiber design strategy for obtaining a at in-phase supermode that optimizes utilization of the active medium inversion in the multiple cores is proposed. The spatially at supermode is achieved by engineering the fiber so that the total mutual coupling between neighboring active cores is equal. Different designs suitable for different fabrication processes such as stack-and-draw and drilling are proposed. An important improvement over previous methods is the design simplicity and better tolerance to perturbations. The optimal implementation of perfectly matched layer (PML) in terms of minimizing the computational overhead it introduces is studied. In one dimension it is shown that PML implementation with a single cell and a high order finite element produces minimal overhead. Estimates of optimal cell size and optimal finite element degree are given. Based on the single cell implementation of PML in three dimensions, field enhancement in metallic bowties is computed.
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Sevilla, Cárdenas Rubén. "NURBS-Enhanced Finite Element Method (NEFEM)". Doctoral thesis, Universitat Politècnica de Catalunya, 2009. http://hdl.handle.net/10803/5857.

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Aquesta tesi proposa una millora del clàssic mètode dels elements finits (finite element method, FEM) per a un tractament eficient de dominis amb contorns corbs: el denominat NURBS-enhanced finite element method (NEFEM). Aquesta millora permet descriure de manera exacta la geometría mitjançant la seva representació del contorn CAD amb non-uniform rational B-splines (NURBS), mentre que la solució s'aproxima amb la interpolació polinòmica estàndard. Per tant, en la major part del domini, la interpolació i la integració numèrica són estàndard, retenint les propietats de convergència clàssiques del FEM i facilitant l'acoblament amb els elements interiors. Només es requereixen estratègies específiques per realitzar la interpolació i la integració numèrica en elements afectats per la descripció del contorn mitjançant NURBS.

La implementació i aplicació de NEFEM a problemes que requereixen una descripció acurada del contorn són, també, objectius prioritaris d'aquesta tesi. Per exemple, la solució numèrica de les equacions de Maxwell és molt sensible a la descripció geomètrica. Es presenta l'aplicació de NEFEM a problemes d'scattering d'ones electromagnètiques amb una formulació de Galerkin discontinu. S'investiga l'habilitat de NEFEM per obtenir solucions precises amb malles grolleres i aproximacions d'alt ordre, i s'exploren les possibilitats de les anomenades malles NEFEM, amb elements que contenen singularitats dintre d'una cara o aresta d'un element. Utilitzant NEFEM, la mida de la malla no està controlada per la complexitat de la geometria. Això implica una dràstica diferència en la mida dels elements i, per tant, suposa un gran estalvi tant des del punt de vista de requeriments de memòria com de cost computacional. Per tant, NEFEM és una eina poderosa per la simulació de problemes tridimensionals a gran escala amb geometries complexes. D'altra banda, la simulació de problemes d'scattering d'ones electromagnètiques requereix mecanismes per aconseguir una absorció eficient de les ones scattered. En aquesta tesi es discuteixen, optimitzen i comparen dues tècniques en el context de mètodes de Galerkin discontinu amb aproximacions d'alt ordre.

La resolució numèrica de les equacions d'Euler de la dinàmica de gasos és també molt sensible a la representació geomètrica. Quan es considera una formulació de Galerkin discontinu i elements isoparamètrics lineals, una producció espúria d'entropia pot evitar la convergència cap a la solució correcta. Amb NEFEM, l'acurada imposició de la condició de contorn en contorns impenetrables proporciona resultats precisos inclús amb una aproximació lineal de la solució. A més, la representació exacta del contorn permet una imposició adequada de les condicions de contorn amb malles grolleres i graus d'interpolació alts. Una propietat atractiva de la implementació proposada és que moltes de les rutines usuals en un codi d'elements finits poden ser aprofitades, per exemple rutines per realitzar el càlcul de les matrius elementals, assemblatge, etc. Només és necessari implementar noves rutines per calcular les quadratures numèriques en elements corbs i emmagatzemar el valor de les funciones de forma en els punts d'integració. S'han proposat vàries tècniques d'elements finits corbs a la literatura. En aquesta tesi, es compara NEFEM amb altres tècniques populars d'elements finits corbs (isoparamètics, cartesians i p-FEM), des de tres punts de vista diferents: aspectes teòrics, implementació i eficiència numèrica. En els exemples numèrics, NEFEM és, com a mínim, un ordre de magnitud més precís comparat amb altres tècniques. A més, per una precisió desitjada NEFEM és també més eficient: necessita un 50% dels graus de llibertat que fan servir els elements isoparamètrics o p-FEM per aconseguir la mateixa precisió. Per tant, l'ús de NEFEM és altament recomanable en presència de contorns corbs i/o quan el contorn té detalls geomètrics complexes.
This thesis proposes an improvement of the classical finite element method (FEM) for an efficient treatment of curved boundaries: the NURBSenhanced FEM (NEFEM). It is able to exactly represent the geometry by means of the usual CAD boundary representation with non-uniform rational Bsplines (NURBS), while the solution is approximated with a standard piecewise polynomial interpolation. Therefore, in the vast majority of the domain, interpolation and numerical integration are standard, preserving the classical finite element (FE) convergence properties, and allowing a seamless coupling with standard FEs on the domain interior. Specifically designed polynomial interpolation and numerical integration are designed only for those elements affected by the NURBS boundary representation.

The implementation and application of NEFEM to problems demanding an accurate boundary representation are also primary goals of this thesis. For instance, the numerical solution of Maxwell's equations is highly sensitive to geometry description. The application of NEFEM to electromagnetic scattering problems using a discontinuous Galerkin formulation is presented. The ability of NEFEM to compute an accurate solution with coarse meshes and high-order approximations is investigated, and the possibilities of NEFEM meshes, with elements containing edge or corner singularities, are explored. With NEFEM, the mesh size is no longer subsidiary to geometry complexity, and depends only on the accuracy requirements on the solution, whereas standard FEs require mesh refinement to properly capture the geometry. This implies a drastic difference in mesh size that results in drastic memory savings, and also important savings in computational cost. Thus, NEFEM is a powerful tool for large-scale scattering simulations with complex geometries in three dimensions. Another key issue in the numerical solution of electromagnetic scattering problems is using a mechanism to perform the absorption of outgoing waves. Two perfectly matched layers are discussed, optimized and compared in a high-order discontinuous Galerkin framework.

The numerical solution of Euler equations of gas dynamics is also very sensitive to geometry description. Using a discontinuous Galerkin formulation and linear isoparametric elements, a spurious entropy production may prevent convergence to the correct solution. With NEFEM, the exact imposition of the solid wall boundary condition provides accurate results even with a linear approximation of the solution. Furthermore, the exact boundary representation allows using coarse meshes, but ensuring the proper implementation of the solid wall boundary condition. An attractive feature of the proposed implementation is that the usual routines of a standard FE code can be directly used, namely routines for the computation of elemental matrices and vectors, assembly, etc. It is only necessary to implement new routines for the computation of numerical quadratures in curved elements and to store the value of shape functions at integration points.

Several curved FE techniques have been proposed in the literature. In this thesis, NEFEM is compared with some popular curved FE techniques (namely isoparametric FEs, cartesian FEs and p-FEM), from three different perspectives: theoretical aspects, implementation and performance. In every example shown, NEFEM is at least one order of magnitude more accurate compared to other techniques. Moreover, for a desired accuracy NEFEM is also computationally more efficient. In some examples, NEFEM needs only 50% of the number of degrees of freedom required by isoparametric FEs or p-FEM. Thus, the use of NEFEM is strongly recommended in the presence of curved boundaries and/or when the boundary of the domain has complex geometric details.
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Brown, Steven Andrew. "Development of a coupled finite element - boundary element program for a microcomputer". Thesis, Virginia Tech, 1985. http://hdl.handle.net/10919/45713.

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This thesis describes the development of a coupled finite element — boundary element program for a microcomputer. The steps outlined in the thesis include the adaptation of a mainframe—based boundary element code for use on a microcomputer, the Verification of this program with sample problems, the development of an algorithm for coupling the Finite Element Method to the Boundary Element Method, the implementation of the coupling algorithm with finite element and boundary element codes, including the development of a Constant Strain Triangular finite element, and the Verification of the coupled program with sample problems. Conclusions are drawn from the results presented, and suggestions are made for future research in this area.
Master of Science
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Nishio, Yoshiyuki. "Challenges in applying the PSPG/SUPG Finite element method to the atmosphéric boundary layer". Thesis, La Rochelle, 2021. http://www.theses.fr/2021LAROS017.

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Suite à une requête de la Défense belge dans le cadre des applications CBRN (chimique, biologique, radiologique et nucléaire), l’objectif initial du travail était de simuler un cas CBRN réaliste a l’air libre (dispersion de particules après une explosion dans une ville), en appliquant la stabilisation Streamline-Upwind Petrov-Galerkin (SUPG) sur une méthode d’éléments finis (FEM), incluant une deuxième phase (particules). Pour cette simulation, les développements se font dans le code Coolfuid 3, un langage spécifique au domaine (DSL) écrit en C++. Cependant, les applications à l’air libre nécessitent de décrire correctement la couche limite atmosphérique (ABL). Cela n’a jamais été fait en utilisant des éléments finis stabilisés. Par conséquent, le défi de ce travail est de répondre à la question simple : Comment modéliser une ABL en s’appuyant sur la méthode de stabilisation SUPG. Afin de réduire le nombre d’éléments nécessaires pour une simulation résolvant toutes les échelles de turbulences jusqu’aux parois, l’ABL a été implémentée avec un modèle de paroi, puis vérifiée en 2D, tandis que quelques corrections (la résolution du maillage, la stabilité du profil de vitesse) ont également pu être menées. Néanmoins, l’implémentation 3D a révélé certaines oscillations parasites, laissant supposer à une origine numérique. Bien que la SUPG produise de la dissipation, cette dernière ne semble pas suffisante pour un écoulement à nombre de Reynolds aussi élevé. Par conséquent, pour ajouter de la dissipation, deux directions ont été suivies : Premièrement, une implémentation de l’évolution de la SUPG, la Méthode Variationnelle MultiScale (VMS), a été initiée. Cette dernière fournit un cadre combiné à la fois pour la stabilisation et la modélisation de la turbulence. Deuxièmement, deux formulations LES, connues pour leur comportement dissipatif, ont également été intégrées. Après avoir réduit les oscillations parasites, le profil de vitesse a été analysé. Finalement, pour permettre la comparaison avec un résultat DNS disponible, le nombre de Reynolds visqueux du domaine ABL a été réduit. Favorablement, et ceci également pour deux autres conditions, l’implémentation du modèle ABL a fourni des résultats se rapprochant le plus de la courbe DNS. En conclusion, nous avons déterminé deux méthodologies (LES et SUPG / VMS) qui ont le potentiel d’approcher l’écoulement ABL. La FEM stabilisée utilisant la SUPG a révélé qu’elle n’est actuellement pas encore suffisante pour éviter les oscillations parasites dans le cas d’un écoulement ABL. En revanche, la LES a fourni des résultats encourageants, ce qui prouve qu’un certain type de modèle de turbulence est indispensable. Cela souligne l’intérêt pour la méthode VMS, bien que celle-ci reste difficile à implémenter
In the context of a Chemical, Biological, Radiological, and Nuclear (CBRN) application for the Belgian Defense, the original objective of the work was to simulate a realistic open-air CBRN case (e.g. dispersion after an explosion of particles in a city), by applying the Streamline-Upwind Petrov-Galerkin (SUPG) stabilization on a nite element method (FEM), together with a second phase (i.e. particles). This would be done through the code Cool uid 3, a Domain Speci c Language (DSL) written in C++.However, open-air applications requires to describe the atmospheric bound-ary layer (ABL) correctly. This has never been done using stabilized FEM. Consequently, the challenge of this work is to answer the simple question: How to model an ABL taking advantage of the SUPG stabilization method.To reduce the number of elements produced by a wall-resolved simulation, the ABL was implemented with a wall model and veri ed in 2D, while a few corrections (e.g. grid scalability, stable velocity pro le) could also be adressed.However, the 3D implementation revealed spurious oscillations, suggesting a numerical origin. Although SUPG does provide dissipation, it seemed not su cient enough for such a high Reynolds ow. Consequently, two directions were followed to add numerical dissipation: Firstly, the implementation of an extended version of the SUPG, the Variational MultiScale method (VMS), was initiated. The latter provides a combined framework for stabilization and turbulence modeling. Secondly, two LES formulations, known for their dissipative behavior, were integrated.Having solved the spurious oscillations, the velocity pro le was analyzed. Eventually, the viscous Reynolds number for the ABL domain was reduced to enable the comparison with an available DNS result. Fortunately, rela-tive to the standard no-slip wall condition and to the friction velocity condi-tion, the wall model implementation provided the best result, although not matching.In conclusion, we ascertained two methodologies (LES and SUPG / VMS) that have the potential to approach the ABL ow. The stabilized FEM using SUPG revealed that it is currently not su cient to avoid spurious oscillations in the case of an ABL ow. In contrast, LES provided encouraging results for reduced Reynolds number, supporting that some kind of turbulence model is indispensable. This emphasizes that the implementation of VMS should be promising, although challenging
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Ozgun, Ozlem. "Finite Element Modeling Of Electromagnetic Radiation/scattering Problems By Domain Decomposition". Phd thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608290/index.pdf.

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The Finite Element Method (FEM) is a powerful numerical method to solve wave propagation problems for open-region electromagnetic radiation/scattering problems involving objects with arbitrary geometry and constitutive parameters. In high-frequency applications, the FEM requires an electrically large computational domain, implying a large number of unknowns, such that the numerical solution of the problem is not feasible even on state-of-the-art computers. An appealing way to solve a large FEM problem is to employ a Domain Decomposition Method (DDM) that allows the decomposition of a large problem into several coupled subproblems which can be solved independently, thus reducing considerably the memory storage requirements. In this thesis, two new domain decomposition algorithms (FB-DDM and ILF-DDM) are implemented for the finite element solution of electromagnetic radiation/scattering problems. For this purpose, a nodal FEM code (FEMS2D) employing triangular elements and a vector FEM code (FEMS3D) employing tetrahedral edge elements have been developed for 2D and 3D problems, respectively. The unbounded domain of the radiation/scattering problem, as well as the boundaries of the subdomains in the DDMs, are truncated by the Perfectly Matched Layer (PML) absorber. The PML is implemented using two new approaches: Locally-conformal PML and Multi-center PML. These approaches are based on a locally-defined complex coordinate transformation which makes possible to handle challenging PML geometries, especially with curvature discontinuities. In order to implement these PML methods, we also introduce the concept of complex space FEM using elements with complex nodal coordinates. The performances of the DDMs and the PML methods are investigated numerically in several applications.
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Linß, Torsten. "Layer-adapted meshes for convection-diffusion problems". Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1203582105872-58676.

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This is a book on numerical methods for singular perturbation problems - in particular stationary convection-dominated convection-diffusion problems. More precisely it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. An early important contribution towards the optimization of numerical methods by means of special meshes was made by N.S. Bakhvalov in 1969. His paper spawned a lively discussion in the literature with a number of further meshes being proposed and applied to various singular perturbation problems. However, in the mid 1980s this development stalled, but was enlivend again by G.I. Shishkin's proposal of piecewise- equidistant meshes in the early 1990s. Because of their very simple structure they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on competing meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue. With this contribution we try to counter this development and lay the emphasis on more general meshes that - apart from performing better than piecewise-uniform meshes - provide a much deeper insight in the course of their analysis. In this monograph a classification and a survey are given of layer-adapted meshes for convection-diffusion problems. It tries to give a comprehensive review of state-of-the art techniques used in the convergence analysis for various numerical methods: finite differences, finite elements and finite volumes. While for finite difference schemes applied to one-dimensional problems a rather complete convergence theory for arbitrary meshes is developed, the theory is more fragmentary for other methods and problems and still requires the restriction to certain classes of meshes.
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McClain, Stephen Taylor. "A discrete-element model for turbulent flow over randomly-rough surfaces". Diss., Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-04032002-140007.

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Linß, Torsten. "Layer-adapted meshes for convection-diffusion problems". Doctoral thesis, Technische Universität Dresden, 2006. https://tud.qucosa.de/id/qucosa%3A24058.

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This is a book on numerical methods for singular perturbation problems - in particular stationary convection-dominated convection-diffusion problems. More precisely it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. An early important contribution towards the optimization of numerical methods by means of special meshes was made by N.S. Bakhvalov in 1969. His paper spawned a lively discussion in the literature with a number of further meshes being proposed and applied to various singular perturbation problems. However, in the mid 1980s this development stalled, but was enlivend again by G.I. Shishkin's proposal of piecewise- equidistant meshes in the early 1990s. Because of their very simple structure they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on competing meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue. With this contribution we try to counter this development and lay the emphasis on more general meshes that - apart from performing better than piecewise-uniform meshes - provide a much deeper insight in the course of their analysis. In this monograph a classification and a survey are given of layer-adapted meshes for convection-diffusion problems. It tries to give a comprehensive review of state-of-the art techniques used in the convergence analysis for various numerical methods: finite differences, finite elements and finite volumes. While for finite difference schemes applied to one-dimensional problems a rather complete convergence theory for arbitrary meshes is developed, the theory is more fragmentary for other methods and problems and still requires the restriction to certain classes of meshes.
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Parikh, Kunal. "Simulation of Rectangular, Single-Layer, Coax-Fed Patch Antennas Using Agilent High Frequency Structure Simulator (HFSS)". Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/9663.

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The Range Limited Antenna (RLA) is a device, which accurately estimates the range of incoming signals and rejects those that arrive from outside a certain, pre-determined range. This task is accomplished by using two multi-element arrays and applying direction finding (DF) algorithms on each of them. Rectangular, single-layer, coax-fed patch antennas are used as array elements for the specific purpose of tracking cell phones operating in the PCS band inside a given building. It is vital to ensure that the patch antenna is designed in such a manner that it resonates at the desired frequency. This thesis introduces the Agilent High Frequency Structure Simulator (HFSS) as an effective tool for modeling electromagnetic structures. It presents a comprehensive and meticulous description of the process of modeling a rectangular coax-fed patch antenna in HFSS. Plots of S-parameter values are calculated and are compared with WIPL-D, which is another simulation software program, and with measurements performed at the George Washington University. Various important parameters of the HFSS simulation are varied and their effects are investigated to provide a deeper understanding of the program.
Master of Science
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Xu, Boqing, i 許博卿. "Convolutional perfectly matched layers for finite element modeling of wave propagation in unbounded domains". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/208043.

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A general convolutional version of perfectly matched layer (PML) formulation for second-order wave equations with displacement as the only unknown based on the coordinate stretching is proposed in this study, which overcomes the limitation of classical PML in splitting the displacement field and requires only minor modifications to existing finite element programs. The first contribution concerns the development of a robust and efficient finite element program QUAD-CPML based on QUAD4M capable of simulating wave propagation in an unbounded domain. The more efficient hybrid-stress finite element was incorporated into the program to reduce the number of iterations for the equivalent linear dynamic analysis and the total time for the direct time integration. The incorporation of new element types was verified with the QUAD4M solutions to problems of dynamic soil response and the efficiency of hybrid-stress finite element was demonstrated compared to the classical finite elements. The second development involves the implementation of a general convolutional perfectly matched layer (CPML) as an absorbing boundary condition for the modeling of the radiation of wave energy in an unbounded domain. The proposed non-split CPML formulation is displacement-based, which shows great compatibility with the direct time integration. This CPML formulation treats the convolutional terms as external forces and includes an updating scheme to calculate the temporal convolution terms arising from the Fourier transform. In addition, the performance of the CPML has been examined by various problems including a parametric study on a number of key coefficients that control the absorbing ability of the CPML boundary. The final task of this thesis is to apply the developed CPML models to the dynamic analyses of soil-structure interaction (SSI) problems. Typical loading conditions including external load on the structure and underground wave excitation on the medium has been considered. Practical applications of CPML models include the numerical study on the effectiveness of the rubber-soil mixture (RSM) as an earthquake protection material and the report of vibrations induced by the passage of a high-speed train. The former investigates the effectiveness of the CPML models for the evaluation of the performance of RSM subject to seismic excitation and the latter tests the boundary effects on the accuracy of the results for train induced vibrations. Both studies show that CPML as an absorbing boundary condition is theoretically sound and effective for the analysis of soil-structure dynamic response.
published_or_final_version
Civil Engineering
Doctoral
Doctor of Philosophy
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Książki na temat "Layer Finite Element Method"

1

Richards, W. Lance. Finite-element analysis of a Mach-8 flight test article using nonlinear contact elements. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1997.

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Lyu, Yongtao. Finite Element Method. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9.

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Dhatt, Gouri, Gilbert Touzot i Emmanuel Lefrançois. Finite Element Method. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118569764.

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4

Baumeister, Kenneth J. Modal ring method for the scattering of sound. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1993.

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Lawrence, Taylor Richard, Nithiarasu Perumal i Zhu J. Z, red. The finite element method. Wyd. 6. Oxford: Elsevier/Butterworth-Heinemann, 2005.

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1934-, Taylor Robert L., red. The finite element method. Wyd. 5. Oxford: Butterworth-Heinemann, 2000.

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Poceski, A. Mixed finite element method. Berlin: Springer-Verlag, 1991.

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1934-, Taylor Robert L., red. The finite element method. Wyd. 4. London: McGraw-Hill, 1989.

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Bofang, Zhu. The Finite Element Method. Singapore: John Wiley & Sons Singapore Pte. Ltd, 2018. http://dx.doi.org/10.1002/9781119107323.

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Poceski, Apostol. Mixed Finite Element Method. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84676-2.

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Części książek na temat "Layer Finite Element Method"

1

Linß, Torsten. "Finite Element and Finite Volume Methods". W Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems, 151–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-05134-0_5.

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Turuk, Baruna Kumar, i Basudeba Behera. "Frequency Sensitivity Performance Analysis of Single-Layer and Multi-Layer SAW-Based Sensor Using Finite Element Method". W Nanomanufacturing and Nanomaterials Design, 149–63. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003220602-9.

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Gaume, J., G. Chambon, M. Naaim i N. Eckert. "Influence of Weak Layer Heterogeneity on Slab Avalanche Release Using a Finite Element Method". W Advances in Bifurcation and Degradation in Geomaterials, 261–66. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1421-2_34.

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Zheng, Xiao Ling, Min You, Yong Zheng, Hai Zhou Yu i Chun Mei Yang. "Testing and Analysis of the Inner Stress in Adhesive Coating Layer Using Strain Gauges and Finite Element Method". W Materials Science Forum, 667–71. Stafa: Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-969-5.667.

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Ottavy, N., M. Bourhrara, J. P. Le Jannou i P. Paris. "Thermal Study of a Laser Diode Using a Finite Element Method Associated with a Meshing Superimposition Method". W Thermal Management of Electronic Systems, 129–38. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1082-2_11.

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Yu, Hengtai, André D. Bandrauk i Vijay Sonnad. "Application of the Finite Element Method to the 3-D Hydrogen Atom in an Intense Laser Field". W Coherence Phenomena in Atoms and Molecules in Laser Fields, 31–43. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3364-1_4.

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Abattouy, Mohammed, Mustapha Ouardouz i Abdes-Samed Bernoussi. "Prediction of Temperature Gradient on Selective Laser Melting (SLM) Part Using 3-Dimensional Finite Element Method". W Innovations in Smart Cities and Applications, 902–9. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74500-8_80.

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Nikitjuk, Yuri, Georgy Bayevich, Victor Myshkovets, Alexander Maximenko i Igor Aushev. "Characterization of Laser Welding of Steel 30XГCH2A by Combining Artificial Neural Networks and Finite Element Method". W Research and Education: Traditions and Innovations, 273–79. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0379-3_28.

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Latham, John-Paul, i Jiansheng Xiang. "Application of the finite-discrete element method to dynamic stress development in armour units and armour layers". W Coasts, marine structures and breakwaters: Adapting to change, 1: 272–284. London: Thomas Telford Ltd, 2010. http://dx.doi.org/10.1680/cmsb.41301.0023.

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Roos, Hans-G. "Error Estimates in Balanced Norms of Finite Element Methods on Layer-Adapted Meshes for Second Order Reaction-Diffusion Problems". W Lecture Notes in Computational Science and Engineering, 1–18. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67202-1_1.

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Streszczenia konferencji na temat "Layer Finite Element Method"

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Laroche, T., S. Ballandras, W. Daniau, J. Garcia, K. Dbich, M. Mayer, X. Perois i K. Wagner. "Simulation of finite acoustic resonators from Finite Element Analysis based on mixed Boundary Element Method/Perfectly Matched Layer". W 2012 European Frequency and Time Forum (EFTF). IEEE, 2012. http://dx.doi.org/10.1109/eftf.2012.6502364.

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STRONG, STUART, i ANDREW MEADE, JR. "Calculation of compressible boundary layer flow about airfoils by a finite element/finite difference method". W 30th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1992. http://dx.doi.org/10.2514/6.1992-524.

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Jiang, Y., Chen Xuedong i Zhichao Fan. "Combined Extended Finite Element Method and Cohesive Element for Fracture Analysis". W ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63750.

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Extended finite element method (XFEM) is a versatile tool for fracture mechanics. Due to its excellent property, XFEM is widely used in research and engineering. On the other hand, cohesive element is a good option for interface delamination in composite materials. In order to take advantage of these two methods, combined XFEM and cohesive element method is developed for fracture analysis in composite materials in two-dimension. In this method, XFEM is used to simulate matrix fracture, and cohesive element is used to simulate delamination between layers. Due to the differences in the construction of these two methods, special attention is paid to the intersection of these two methods. The new method is applied to the fracture analysis of composite materials. The results show this method has excellent property as expected. This method shows potential application in fracture analysis of composite materials.
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4

Khanna, Kshitiz, i Raymond K. Yee. "Parametric Study of Metal 3D Printing Process Using Finite Element Simulation". W ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10745.

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Abstract Metal additive manufacturing (AM), also known as metal 3D printing, is a challenging process to be controlled for desirable outcome due to its many process parameters. Residual stresses or deformations may occur in an AM manufactured part because of rapid heating and cooling cycles in the layers. The effect of process-controlled parameters in laser powder bed fusion (L-PBF) on deformations of a manufactured part has not been well examined and reported only sparely in literature. The objectives of this paper are: to study deformation behavior of a L-PBF printed part using finite element method, to perform parametric study of process input variables by changing few selected process parameters in the simulations, and to attempt identifying optimal values within the studied range of selected parameters to minimize part distortion. In this study, the material used for the heat sink finite element model was Inconel 718 which is commonly found in AM manufactured parts. ANSYS finite element program was employed to simulate a heat sink fabrication. The finished dimensions of the heat sink model were 12 mm in height, 26 mm in width, and 26 mm in depth. Thermal-mechanical sequential coupling approach was employed to simulate layer-by-layer built up process. The resulting deformations was evaluated by varying laser travel speed, base plate temperature, and initial layer angle. The maximum deformation (distortion) was observed at the corners of the heat sink model upon release from the base plate and found to be approximately 0.115 mm. Based on this study, the relative optimal simulation results for minimum distortion for selected parameters were 600 °K base plate temperature, 600 mm/sec speed of laser, and 0° initial layer angle. These results can be served as foundation for further study of varying other L-PBF process parameters.
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HYTOPOULOS, E., J. SCHETZ i M. GUNZBURGER. "Numerical solution of the compressible boundary layer equations using the finite element method". W 30th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1992. http://dx.doi.org/10.2514/6.1992-666.

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De Silva, Sirilath, i Cho Lik Chan. "Coupled boundary element method and finite difference method for laser drilling". W ICALEO® 2000: Proceedings of the Laser Materials Processing Conference. Laser Institute of America, 2000. http://dx.doi.org/10.2351/1.5059494.

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Meng, Dongyuan, Shutang Sun, Hongchao Sun i Guoqiang Li. "Finite Element Method for Thermal Design of Radioactive Material Transport Packages". W 2020 International Conference on Nuclear Engineering collocated with the ASME 2020 Power Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/icone2020-16115.

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Abstract In this paper, a simplified typical radioactive material transport container model is used to change the thickness of the container insulation layer and the thickness of the heat sink respectively. The finite element method is used to simulate the heat transfer, and a quantitative optimization of the heat transfer performance of the radioactive material transport container is given.
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8

Castagnetti, Davide, i Eugenio Dragoni. "Efficient Stress Analysis of Adhesively Bonded Joints by Finite Element Techniques". W ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95813.

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The paper documents ongoing research on the field of stress calculations in the adhesive layer of bonded joints and bonded structures. Aim of the research is to develop simple, general, portable, efficient and accurate finite element techniques for adhesive stress analysis and strength assessment of the joint. Among four methods envisioned, two methods are presented for 2D configurations and applied to a reference single-lap configuration. In both methods, the adherends are described by means of beam elements and the adhesive layer by a single string of plane-stress solid elements. The plane-stress elements have either the original thickness of the true adhesive layer or an expanded thickness up to the offset between adherends. Beams and plane-stress elements are connected by standard constraining techniques (tied mesh) offered by the package employed (ABAQUS). The stress results provided by the two methods are compared step by step with the predictions of analytical models retrieved from the literature and with the outcome of a full, computationally-intensive finite element model using solid plane-stress elements for both adhesive and adherends. The simplified method using a single layer of plane-stress elements with the same thickness and properties as the true adhesive layer provides very promising results in terms of stress accuracy and computational efficiency.
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9

Oya, Tetsuo, Jun Yanagimoto, F. Barlat, Y. H. Moon i M. G. Lee. "FINITE ELEMENT ANALYSIS OF LAYER-INTEGRATED STEEL SHEETS UNDERGOING BENDING". W NUMIFORM 2010: Proceedings of the 10th International Conference on Numerical Methods in Industrial Forming Processes Dedicated to Professor O. C. Zienkiewicz (1921–2009). AIP, 2010. http://dx.doi.org/10.1063/1.3457564.

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Bolstad, Per Kristian, Tung Manh, Martijn Frijlink i Lars Hoff. "Acoustic Characterization of Inhomogenous Layers using Finite Element Method". W 2021 IEEE International Ultrasonics Symposium (IUS). IEEE, 2021. http://dx.doi.org/10.1109/ius52206.2021.9593890.

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Raporty organizacyjne na temat "Layer Finite Element Method"

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Roach, Robert. Laser Spot Welding using an ALE Finite Element Method. Office of Scientific and Technical Information (OSTI), kwiecień 2018. http://dx.doi.org/10.2172/1762029.

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Yan, Yujie, i Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, maj 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-consuming and expensive. The main objective of this study is to develop methods and algorithms to automate the post-processing of the visual sensor data towards the extraction of three main categories of information: 1) object information such as object identity, shapes, and spatial relationships - a novel heuristic-based method is proposed to automate the detection and recognition of main structural elements of steel girder bridges in both terrestrial and unmanned aerial vehicle (UAV)-based laser scanning data. Domain knowledge on the geometric and topological constraints of the structural elements is modeled and utilized as heuristics to guide the search as well as to reject erroneous detection results. 2) structural damage information, such as damage locations and quantities - to support the assessment of damage associated with small deformations, an advanced crack assessment method is proposed to enable automated detection and quantification of concrete cracks in critical structural elements based on UAV-based visual sensor data. In terms of damage associated with large deformations, based on the surface normal-based method proposed in Guldur et al. (2014), a new algorithm is developed to enhance the robustness of damage assessment for structural elements with curved surfaces. 3) three-dimensional volumetric models - the object information extracted from the laser scanning data is exploited to create a complete geometric representation for each structural element. In addition, mesh generation algorithms are developed to automatically convert the geometric representations into conformal all-hexahedron finite element meshes, which can be finally assembled to create a finite element model of the entire bridge. To validate the effectiveness of the developed methods and algorithms, several field data collections have been conducted to collect both the visual sensor data and the physical measurements from experimental specimens and in-service bridges. The data were collected using both terrestrial laser scanners combined with images, and laser scanners and cameras mounted to unmanned aerial vehicles.
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Al-Qadi, Imad, Jaime Hernandez, Angeli Jayme, Mojtaba Ziyadi, Erman Gungor, Seunggu Kang, John Harvey i in. The Impact of Wide-Base Tires on Pavement—A National Study. Illinois Center for Transportation, październik 2021. http://dx.doi.org/10.36501/0197-9191/21-035.

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Researchers have been studying wide-base tires for over two decades, but no evidence has been provided regarding the net benefit of this tire technology. In this study, a comprehensive approach is used to compare new-generation wide-base tires (NG-WBT) with the dual-tire assembly (DTA). Numerical modeling, prediction methods, experimental measurements, and environmental impact assessment were combined to provide recommendations about the use of NG-WBT. A finite element approach, considering variables usually omitted in the conventional analysis of flexible pavement was utilized for modeling. Five hundred seventy-six cases combining layer thickness, material properties, tire load, tire inflation pressure, and pavement type (thick and thin) were analyzed to obtained critical pavement responses. A prediction tool, known as ICT-Wide, was developed based on artificial neural networks to obtain critical pavement responses in cases outside the finite element analysis matrix. The environmental impacts were determined using life cycle assessment. Based on the bottom-up fatigue cracking, permanent deformation, and international roughness index, the life cycle energy consumption, cost, and green-house gas (GHG) emissions were estimated. To make the outcome of this research effort useful for state departments of transportation and practitioners, a modification to AASHTOWare is proposed to account for NG-WBT. The revision is based on two adjustment factors, one accounting for the discrepancy between the AASHTOware approach and the finite element model of this study, and the other addressing the impact of NG-WBT.
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Babuska, Ivo, Uday Banerjee i John E. Osborn. Superconvergence in the Generalized Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, styczeń 2005. http://dx.doi.org/10.21236/ada440610.

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Coyle, J. M., i J. E. Flaherty. Adaptive Finite Element Method II: Error Estimation. Fort Belvoir, VA: Defense Technical Information Center, wrzesień 1994. http://dx.doi.org/10.21236/ada288358.

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Babuska, I., i J. M. Melenk. The Partition of Unity Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, czerwiec 1995. http://dx.doi.org/10.21236/ada301760.

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Duarte, Carlos A. A Generalized Finite Element Method for Multiscale Simulations. Fort Belvoir, VA: Defense Technical Information Center, maj 2012. http://dx.doi.org/10.21236/ada577139.

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Manzini, Gianmarco, i Vitaliy Gyrya. Final Report of the Project "From the finite element method to the virtual element method". Office of Scientific and Technical Information (OSTI), grudzień 2017. http://dx.doi.org/10.2172/1415356.

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Manzini, Gianmarco. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity. Office of Scientific and Technical Information (OSTI), lipiec 2012. http://dx.doi.org/10.2172/1046508.

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Babuska, I., B. Andersson, B. Guo, H. S. Oh i J. M. Melenk. Finite Element Method for Solving Problems with Singular Solutions. Fort Belvoir, VA: Defense Technical Information Center, lipiec 1995. http://dx.doi.org/10.21236/ada301749.

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