Дисертації з теми "Continuum Elasticity"
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Segall, Darren Eric 1970. "Coarse-graining electronic behavior in condensed matter systems : from electrons to continuum elasticity." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/29307.
Повний текст джерелаIncludes bibliographical references (leaves 131-137).
In this thesis properties of various condensed matter systems are studied, whose dependency on electronic behavior is incorporated through coarse-grained interactions. Three specific systems are considered. In the first system of study, high momentum, plane wave states of the electronic wave function are coarse-grained, while the low momentum states are fully resolved. Moreover, the coarse-graining procedure incorporates the response of the high momentum states to environmental changes and its couplings to changes in the low momentum states. Within density functional theory this allows the representation of the electronic wave function, when using a plane wave basis, to be computationally feasible without having to make the pseudopotential approximation. This coarse-graining procedure is beneficial for the study of high pressure systems, where the response of the core region is important. With this method we study a number of solid phases of boron and reveal a number of important structural and electronic properties on its high pressure and superconducting phase. The second system of study focuses on a slightly coarser scale, where a theory for the elasticity of nanometer sized objects is developed. This theory provides a powerful way of understanding nanoscale elasticity in terms of local group contributions and acts as a bridge between the atomic and the continuum regimes. This theory properly describes elastic fluctuations on length scales on the order of the decay length of the force constant matrix; allowing for straightforward development of new relations between the bending and stretching properties of nanomechanical resonators, which prove to be much more accurate than the continuum-based relations currently employed in experimental analysis.
(cont.) This theory is then used to link features of the underlining electronic structure to the local elastic response in silicon nanoresonators, emphasizing the importance of electronic structure on the local and overall elastic response. Our final system of study focuses on the longest length scales, the continuum. It is shown that the inclusion of electronic structure is crucial in the study of the role of dislocations on the macroscopic property of slip. This thesis explores the discrepancy between experimental data and theoretical calculations of the lattice resistance in bcc metals. This thesis presents results for the temperature dependence of the Peierls stress and the first ab initio calculation of the zero-temperature Peierls stress which employ periodic boundary conditions. The ab initio value for the Peierls stress is over five times larger than current extrapolations of experimental lattice resistance to zero-temperature. Although it is found that the common techniques for such extrapolation indeed tend to underestimate the zero-temperature limit, in this work it is shown that other mechanisms other than the simple Peierls mechanism are important in controlling the process of low temperature slip.
by Darren Eric Segall.
Ph.D.
CADELANO, EMILIANO. "Graphene under strain. A combined continuum-atomistic approach." Doctoral thesis, Università degli Studi di Cagliari, 2011. http://hdl.handle.net/11584/265920.
Повний текст джерелаAyoub, Sherif Fathy. "Analysis of elastic-plastic continuum at large deformation using hybrid descriptions and finite element method /." The Ohio State University, 1986. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487265555439612.
Повний текст джерелаSALVALAGLIO, MARCO. "Continuum modeling of vertical heterostructures: elastic properties and morphological evolution." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/100682.
Повний текст джерелаMühlich, Uwe. "Generalised continuum approach for modelling quasi-brittle failure." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-137217.
Повний текст джерелаEine geeignete, kontinuumsmechanische Beschreibung quasi-spröden Versagens ist nur unter Verwendung verallgemeinerter Kontinuumstheorien möglich. In dieser Habilitationsschrift stehen sogenannte Gradientenkontinua im Vordergrund. Für diese wird eine Methodik vorgeschlagen, welche die Herleitung von Modellen erlaubt, die in der Lage sind, quasi-sprödes Versagen adäquat abzubilden. Diese Methodik wird anhand von vier Publikationen dargestellt und diskutiert. Ein umfangreicher Überblick über den Stand der Forschung auf dem Gebiet der veralgemeinerten Kontinuumstheorien wird am Anfang der Habilitationschrift gegeben. Dabei werden neben phänomenologischen Ansätzen zur Ableitung verallgemeinerter Kontinuumstheorien auch die entsprechenden Homogenisierungskonzepte dargestellt. Letztere werden für Materialien mit periodischer Mikrostruktur und für Materialien mit zufälliger Mikrostruktur diskutiert
Ortigosa, Martinez Rogelio. "On a new variational and computational framework for polyconvex nonlinear continuum mechanics and convex multi-variable nonlinear electro-elasticity." Thesis, Swansea University, 2016. https://cronfa.swan.ac.uk/Record/cronfa34893.
Повний текст джерелаDingreville, Remi. "Modeling and Characterization of the Elastic Behavior of Interfaces in Nanostructured Materials: From an Atomistic Description to a Continuum Approach." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19776.
Повний текст джерелаCommittee Chair: Jianmin Qu; Committee Member: David McDowell; Committee Member: Elisa Riedo; Committee Member: Min Zhou; Committee Member: Mo Li.
Quignon-Tosoni, Justine. "Rhéologie des matériaux pâteux : vers un continuum des régimes solide et liquide. Application aux boues résiduaires." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22629/document.
Повний текст джерелаIn a context of constant increasing volumes of wastewater treatment sludge, optimizing the treatment of sludge appears to be crucial. Each step of treatment and transportation involves flows. It appears necessary to understand and predict these flows in order, for example, to estimate pressure drops in pipes or to size properly pumping facilities. In a physical point of view, sludge can be considered as a suspension of particles in a gel. Thus, its rheological behaviour presents significant similarities to that of colloidal suspensions of polymeric gels. These three types of materials, i.e. wastewater treatment sludge, colloidal suspensions and polymeric gels, present a complex rheological behaviour which depend on both time and the applied solicitation. They exhibit a dual behaviour, solid at low shear stresses, and liquid when the applied shear stress is high. The solid-liquid behaviour is generally modelled by defining a critical shear stress or a critical strain, supposed to be the limit between the solid and liquid regimes. Nevertheless, this concept implies an abrupt transition, unlike experimental observations showing a continuous and progressive transition. The study of the literature permitted to highlight the need to improve the understanding and modelling of the solid-liquid transition. Moreover, it appears necessary to unify the description of the solid and liquid regime in a unique model, in order to link a mathematical continuity with thecontinuous and progressive nature of the physical phenomenon to model. The study of the results available in the literature permited us to build a unique mathematical model to describe both the solid behaviour and the liquid behaviour of the studied materials. The assumptions made from the literature results have thus been experimentally validated. The proposed model is based on the decomposition of the compliance of the material in the sum of a solid contribution and a liquid contribution, depending on time, the applied solicitation and the story of the material. This model permits a unique description of solide and liquid regimes of the material, taking into account the existence of a residual elasticity at high shear stresses, and a viscous dissipation for low shear stresses, in accordance with experimental results. This work permitted to highlight the fact that the solid-liquid transition mecanism is controlled by the compliance of the material, and not the shear stress or the strain. Moreover, it opened the way to a new way of understanding the thixotropy and the solid-liquid transition of pasty materials. Thus, the behaviour of a pasty material is controlled by two parameters : a plateau elastic modulus corresponding to a totally structured state, and an infinite viscosity corresponding to a totally destructured state. These parameters intrinsic to the material are pondered by the evolutions of the microstructure, leading to a competition between elastic and viscous effects. Thus, the difference between the power law behaviour and the Herschel-Bulkley behaviour can be simply explained by the apparition of elastic effects that can’t be neglected
Beauregard, Matthew Alan. "Nonlinear Dynamics of Elastic Filaments Conveying a Fluid and Numerical Applications to the Static Kirchhoff Equations." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/194164.
Повний текст джерелаLloyd, Jeffrey T. "Microstructure-sensitive simulation of shock loading in metals." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/51853.
Повний текст джерелаMARZIANI, ROBERTA. "Asymptotic analysis of nonlinear models for line defects in materials." Doctoral thesis, Gran Sasso Science Institute, 2020. http://hdl.handle.net/20.500.12571/10041.
Повний текст джерелаBOIOLI, FRANCESCA. "Dislocation modelling in realistic Si-Ge nanostructures." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/40115.
Повний текст джерелаda, Silva Soares Joao Filipe. "Constitutive modeling for biodegradable polymers for application in endovascular stents." Texas A&M University, 2008. http://hdl.handle.net/1969.1/85939.
Повний текст джерелаFritsch, Andreas. "Multiscale explanation of elasticity and strength of bone and bone replacement materials made of hydroxyapatite, glass-ceramics, or titanium : a continuum micromechanics approach=mehrskalige erklärung der elastizit ät und festigkeit von knochen und knochenersatzmaterialien aus hydroxyapatit, glas-keramik oder titanium: ein kontinuumsmikromechanischer ansatz." Paris Est, 2009. http://pastel.archives-ouvertes.fr/docs/00/50/13/47/PDF/These_Fritsch_anglais.pdf.
Повний текст джерелаBone is a hierarchically organized material, characterized by an astonishing variability and diversity. Bone replacement or biomaterials are critical components in artificial organs, and they are also used as scaffolds in tissue engineering. The aim of this thesis is the prediction of the strength of bone and bone replacement materials, from their composition and microstructure, by means of multiscale models. The theoretical developments are supported by comprehensive experiments on cortical bone and on biomaterials made of hydroxyapatite, glass-ceramic, and titanium
Nakhaei, Mohsen. "Layer-specific multiscale mechanical modeling of arterial structures with evolving fiber configurations." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEM014.
Повний текст джерелаArterial tissues are made of variously organized collagen and elastin networks and exhibit a highly nonlinear anisotropic behavior with the ability to sustain large reversible strains and to undergo a load-induced progressive morphological rearrangement of the microstructure. In the present study motivated by these specificities of arterial mechanics, we developed a detailed multi-scale model of the arterial wall. The framework of finite strain continuum micromechanics was employed in an incremental approach to compute stress, strain, and fiber reorientations. The extensions of Eshelby’s matrix-inclusion problem allowed for deriving analytical expressions for the concentration tensors, which relate the macroscopic strain rate tensor to phase-averaged strain rate and vorticity. The model accounts for the universal patterns across different scales in the two mechanically significant layers of arteries, namely the adventitia and the media. Furthermore, the multi-scale constitutive model was implemented in a non-linear finite element formulation to solve the structural model of the artery. The model was validated against different experimental data sets on arterial samples from different species. The results show that the model is able to estimate the contribution of each component into the macroscopic response of the tissue for different loading and can predict both the macroscopic response and microscopic fiber kinematics accurately. We submit that such model would help in predicting the evolution of the mechanical tissue response overtime during, for instance, remodeling and growth or damage
Araujo, Robyn Patrice. "Mathematical modelling of mechanical stresses and vascular collapse in solid tumours." Thesis, Queensland University of Technology, 2003. https://eprints.qut.edu.au/37156/6/37156_Digitised_Thesis.pdf.
Повний текст джерелаDella, Corte Alessandro. "Lattice structures with pivoted beams : Homogenization and nonlinear elasticity results." Thesis, Toulon, 2017. http://www.theses.fr/2017TOUL0019/document.
Повний текст джерелаThis thesis focuses on the mathematical modeling of fibrous structures having somepeculiar properties (high strength-to-weight ratio and very good toughness infracture), whose mechanical behavior escapes from standard Cauchy elasticity. Inparticular, it addresses cases in which the presence of a microstructure, consisting ofregularly spaced pivoted beams, entails effects that are well described by generalizedcontinuum models, i.e. models in which the deformation energy density depends notonly on the gradient of the placement but also on the second (and possibly higher)gradients of it. In the Introduction, the state of the art concerning generalizedcontinua and their applications for the description of fibrous structures is describedand some relevant open problems are highlighted. In Chapter 1 and 2 a rigoroushomogenization procedure based on Gamma-convergence arguments is performedfor a lattice (truss-like) structure and for a discrete 1D system (Hencky-type beammodel). In Chapter 3, a variational treatment is employed to formulate acomputationally convenient approach. In Chapter 4 some experimental resultsconcerning the behavior of the structure in various kinds of deformation arediscussed. This motivated the investigation performed in Chapter 5, in which DirectMethods of Calculus of Variations are applied to Euler beams in large deformationsunder distributed load
Fayolle, Séverine. "Sur l'analyse numérique de raccords de poutres et de plaques." Paris 6, 1987. http://www.theses.fr/1987PA066005.
Повний текст джерелаFischer, Paul [Verfasser], and Paul [Akademischer Betreuer] Steinmann. "C1 Continuous Methods in Computational Gradient Elasticity / Paul Fischer. Betreuer: Paul Steinmann." Erlangen : Universitätsbibliothek der Universität Erlangen-Nürnberg, 2011. http://d-nb.info/1015783635/34.
Повний текст джерелаOlive, Marc. "Géométrie des espaces de tenseurs : une approche effective appliquée à la mécanique des milieux continus." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4745/document.
Повний текст джерелаTensorial formulation of mechanical constitutive equations is a very important matter in continuum mechanics. For instance, the space of elastic tensors is a subspace of 4th order tensors with a natural SO(3) group action. More generaly, we have to study the geometry of a tensor space defined on $mathbb{R}^{3}$, under O(3) group action.To describe such a geometry, we first have to exhibit its isotropy classes, also named symetry classes. Indeed, each tensor space possesses a finite number of isotropy classes. In this present work, we propose an original method to obtain isotropy classes of a given tensor space. As an illustration of this new method, we get for the first time the isotropy classes of a 8th order tensor space occuring in second strain-gradient elasticity theory. In the case of a real representation of a compact group, invariant algebra seperates the orbits. This observation motivates the purpose to find a finite generating set of polynomial invariants. For that purpose, we make use of the link between tensor spaces and spaces of binary forms, which belongs to the classical invariant theory. We thus have to deal with SL(2,$mathbb{C}$) group action. To obtain new results, we have reformulated and reinterpreted effective approaches of Gordan's algorithm, developped during XIXth century. We then obtain for the first time a minimal generating family of elasticity tensor space, and a generating family of piezoelectricity tensor space. Using linear algebra arguments, we were also able to get important relations of classical invariant theory, such as the Gordan's series and the Abdesselam--Chipalkatti's quadratic relations on transvectants
Sanchioni, Stefano. "Teoria ed applicazioni della meccanica dei continui." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12322/.
Повний текст джерелаLeta, James V. "An Elastica Model that Describes the Buckling of Cross-sections of Nanotubes." University of Akron / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=akron1312166451.
Повний текст джерелаAzem, Leila. "Analyse des liens entre un modèle d'endommagement et un modèle de fracture." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX006/document.
Повний текст джерелаThis thesis is devoted to the derivation of fracture models as limit damage models.The study is justified mainly through numerical simulations.We are interested in studying a damage model initiated by Allaire, Jouve and Vangoethem.We are making significant improvements to this model justifying the physical consistency of the approach.First, we add a constraint on the minimum thickness of the damaged area and then we add a condition of strong irreversibility.We see also a fracture model with jump penalization obtained as an asymptotic limit of a damage model.We justify this model by a one-dimensional formal asymptotic numerical study.Then, the generalization in the case 2D is illustrated by numerical examples
Jaravel, Julien. "Caractérisation in-situ et simulation numérique de la croissance de cavités dans un élastomère sous décompression de gaz." Phd thesis, Chasseneuil-du-Poitou, Ecole nationale supérieure de mécanique et d'aérotechnique, 2012. http://tel.archives-ouvertes.fr/tel-00785129.
Повний текст джерелаChen, Xiao-Ting. "Effet du chauffage sur le comportement mécanique et poro-mécanique de matériaux cimentaires : propriétés hydrauliques et changements morphologiques." Phd thesis, Ecole Centrale de Lille, 2009. http://tel.archives-ouvertes.fr/tel-00577102.
Повний текст джерелаBaumgarten, Lars. "Gesteinsmechanische Versuche und petrophysikalische Untersuchungen – Laborergebnisse und numerische Simulationen." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2016. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-202612.
Повний текст джерелаDilbag, Singh. "Some dynamical problems in micropolar elasticity." Phd thesis, 2008. http://tel.archives-ouvertes.fr/tel-00573425.
Повний текст джерелаHassanpour, Soroosh. "Dynamics of Gyroelastic Continua." Thesis, 2014. http://hdl.handle.net/10012/8289.
Повний текст джерелаMühlich, Uwe. "Generalised continuum approach for modelling quasi-brittle failure." Doctoral thesis, 2013. https://tubaf.qucosa.de/id/qucosa%3A22912.
Повний текст джерелаEine geeignete, kontinuumsmechanische Beschreibung quasi-spröden Versagens ist nur unter Verwendung verallgemeinerter Kontinuumstheorien möglich. In dieser Habilitationsschrift stehen sogenannte Gradientenkontinua im Vordergrund. Für diese wird eine Methodik vorgeschlagen, welche die Herleitung von Modellen erlaubt, die in der Lage sind, quasi-sprödes Versagen adäquat abzubilden. Diese Methodik wird anhand von vier Publikationen dargestellt und diskutiert. Ein umfangreicher Überblick über den Stand der Forschung auf dem Gebiet der veralgemeinerten Kontinuumstheorien wird am Anfang der Habilitationschrift gegeben. Dabei werden neben phänomenologischen Ansätzen zur Ableitung verallgemeinerter Kontinuumstheorien auch die entsprechenden Homogenisierungskonzepte dargestellt. Letztere werden für Materialien mit periodischer Mikrostruktur und für Materialien mit zufälliger Mikrostruktur diskutiert.:1 Introduction 7 2 Generalised Continua - a journey 9 2.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Principal classes of generalised continua . . . . . . . . . . . . . . . . . 10 2.2.1 Polar field theories and their relatives . . . . . . . . . . . . . . 10 2.2.2 Non-local continua . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3 Generalised continua by explicit homogenisation . . . . . . . . . . . . 15 2.3.1 Random micro-structures . . . . . . . . . . . . . . . . . . . . . 15 2.3.2 Periodic micro-structures . . . . . . . . . . . . . . . . . . . . . 18 2.3.3 Generalised homogenisation based on polynomials . . . . . . 20 3 Modelling of quasi-brittle failure 25 3.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.3 Discussion of main results . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4 Outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Bibliography 29 4 Collection of articles reflecting the author’s contribution 35
Marquardt, Oliver [Verfasser]. "Implementation and application of continuum elasticity theory and a k · p model to investigate optoelectronic properties of semiconductor nanostructures / von Oliver Marquardt." 2010. http://d-nb.info/1007087366/34.
Повний текст джерелаNel, Willem Petrus. "Structural integrity assessment of a low pressure turbine with transverse cracking." Thesis, 2009. http://hdl.handle.net/10210/2175.
Повний текст джерелаThis dissertation deals with the structural integrity analysis of a low pressure (LP) turbine with transverse cracking. Cracks are initiated in the centre ring keyway of the shaft by a fretting mechanism and propagate during barring operation. The cracks arrest during normal operation when they are still relatively shallow. The aim of the calculations is to predict the transition where cracks start propagating by high cycle fatigue during normal operation of the shaft. Most influencing factors, including continuum mechanics, mathematical modelling, material behaviour, service loads and industry experience, are studied in detail as a precursor to the case study. The calculated results show that the case study is an example where the application of fracture mechanics on the crack-free stress field leads to erroneous results. There is a significant redistribution of stress in the presence of the crack so that the actual stress ratio, as calculated from three dimensional cracked models, varies significantly compared to the crack-free model. Calculated results, together with carefully researched material properties, confirm the postulated crack growth during barring operation and predict limiting crack sizes where high cycle fatigue would ensue during normal operation. The case study concludes that the shaft has a significant remaining life and that it can be returned to service with periodic non-destructive examinations.
chen, Wei-liang, and 陳韋良. "Elasticity Analysis of Continuous Breast Ultrasound Images." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/48182092552492662615.
Повний текст джерела國立中正大學
資訊工程研究所
91
Elastography is a recently developed technique of imaging the tissue elasticity. The tissue elasticity of a lesion is also a useful US diagnosis criterion. In general, elastograms are created by comparing ultrasound (US) radio-frequency (RF) waveforms obtained before and after a light compression of the tissue. However, in this paper, the elasticity analysis is applied directly in the B-mode US images without the complicated RF extraction system. At first, a segmentation method, called level set, is used to segment the tumor contours from the continuous US images. Three elasticity features, contour difference, area difference and shift distance, are proposed to compare the tumor contours of the uncompressed and compressed US images. A shape feature, solidity, is also used for comparison. In general, the elasticity analysis is applied for two US images with and without compression. In this paper, the elasticity analysis is applied for the continuous 2D US images which are obtained during the probe being pressed. From the experimental results, the continuous elasticity analysis is better than the conventional elasticity analysis using only two images. One hundred of cases including 60 benign cases and 40 malignant cases are used in the experiments. An support vector machine based on the proposed four features is used to diagnosis the tumors. The accuracy of SVM is 87.00% (87/100) and the ROC area index AZ is 0.9140.
Singh, Eeshitw Kaushal. "A Numerical Implementation of an Artery Model Using Hybrid Fem." Thesis, 2016. http://etd.iisc.ernet.in/handle/2005/2875.
Повний текст джерелаAuffray, N. "Comportement des matériaux cellulaires : élaboration, caractérisation etmodélisation prédictive des propriétés." Phd thesis, 2008. http://tel.archives-ouvertes.fr/tel-00360837.
Повний текст джерелаsecond ordre, une étude détaillée de ce point a conduit à l'identification des matrices à implémenter dans un code éléments finis. Les opérateurs du second ordre construits par homogénéisation ont pu ensuite être comparés à leurs formes théoriques. Ceci nous a permis de montrer que vis-à-vis du comportement de matériaux nida les effets du second ordre sont, dans certain cas, d'un ordre de grandeur comparable à ceux de l'élasticité classique. Les méthodes mises en place pour l'étude théorique des symétries des opérateurs d'élasticité sont généralisables à toutes lois de comportement linéaire.
Lübbe, Jannis Ralph Ulrich. "Cantilever properties and noise figures in high-resolution non-contact atomic force microscopy." Doctoral thesis, 2013. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013040310741.
Повний текст джерелаBaumgarten, Lars. "Gesteinsmechanische Versuche und petrophysikalische Untersuchungen – Laborergebnisse und numerische Simulationen." Doctoral thesis, 2015. https://tubaf.qucosa.de/id/qucosa%3A23031.
Повний текст джерела