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1

Toolabi, Milad. "Dynamic extended finite element method (XFEM) analysis of discontinuous media." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/44180.

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The extended finite element method (XFEM) is found promising in approximating solutions to locally non-smooth features such as jumps, kinks, high gradients, inclusions, or cracks in solid mechanics problems. The XFEM uses the properties of the partition of unity finite element method (PUFEM) to represent the discontinuities without the corresponding finite element mesh requirements. In the present thesis numerical simulations of statically and dynamically loaded heterogeneous beams, heterogeneous plates and two-dimensional cracked media of isotropic and orthotropic constitutive behaviour are p
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2

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.

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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 in
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3

McNary, Michael. "Implementation of the extended finite element method (XFEM) in the Abaqus software package." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29665.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Cherkaoui, Mohammed; Committee Member: Neu, Richard; Committee Member: van der Sluis, Olaf. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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4

Jung, Yeonhee. "An efficient analysis of resin transfer molding process using extended finite element method." Phd thesis, Saint-Etienne, EMSE, 2013. http://tel.archives-ouvertes.fr/tel-00937556.

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Numerical simulation for Resin Transfer Molding (RTM) manufacturing process is attempted by using the eXtended Finite Element Method (XFEM) combined with the level set method. XFEM allows to obtaining a good numerical precision of the pressure near the resin flow front, where its gradient is discontinuous. The enriched shape functions of XFEM are derived by using the level set values so as to correctly describe the interpolation with the resin flow front. In addition, the level set method is used to transport the resin flow front at each time step during the mold filling. The level set values
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5

Alizada, Alaskar [Verfasser]. "The eXtended Finite Element Method (XFEM) with Adaptive Mesh Refinement for Fracture Mechanics / Alaskar Alizada." Aachen : Shaker, 2012. http://d-nb.info/1052408818/34.

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6

Nešpůrek, Lukáš. "STOCHASTIC CRACK PROPAGATION MODELLING USING THE EXTENDED FINITE ELEMENT METHOD." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2010. http://www.nusl.cz/ntk/nusl-233900.

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Tato disertační práce vychází z výzkumu v rámci francouzsko-českého programu doktorátu pod dvojím vedením na pracovišti Institut français de mécanique avancée v Clermont-Ferrand a na Ústavu fyziky materiálu AV v Brně. Úvodní výzkumný úkol na brněnském pracovišti se zabýval numerickou analýzou pole napětí v okolí čela trhliny v tenké kovové fólii. Zvláštní pozornost byla zaměřena na vliv speciálního typu singularity v průsečíku čela trhliny s volným povrchem. Těžiště disertační práce spočívá v numerickém modelování a stochastické analýze problémů šíření trhlin se složitou geometrií v dvojrozměr
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Gigliotti, Luigi. "Assessment of the applicability of XFEM in Abaqus for modeling crack growth in rubber." Thesis, KTH, Hållfasthetslära (Inst.), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-103919.

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The eXtended Finite Element Method is a partition of unity based method, particularly suitable for modelling crack propagation phenomena, without knowing a priori the crack path. Its numerical implementation is mostly achieved with stand-alone codes. The implementation of the eXtended Finite Element Method in commercial FEA softwares is still limited, and the most famous one including such capabilities is Abaqus TM. However, due to its relatively recent intro-duction, XFEM technique in Abaqus has been proved to provide trustable results only in few simple benchmark problems involving linear el
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8

Fave, Sebastian Philipp. "Investigative Application of the Intrinsic Extended Finite Element Method for the Computational Characterization of Composite Materials." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/50483.

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Computational micromechanics analysis of carbon nanotube-epoxy nanocomposites, containing aligned nanotubes, is performed using the mesh independent intrinsic extended finite element method (IXFEM). The IXFEM employs a localized intrinsic enrichment strategy to treat arbitrary discontinuities defined through the level-set method separate from the problem domain discretization, i.e. the finite element (FE) mesh. A global domain decomposition identifies local subdomains for building distinct partition of unities that appropriately suit the approximation. Specialized inherently enriched shape fun
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9

Bencheikh, Issam. "Simulation multi-étapes de l’usure des outils de coupe revêtus par une modélisation XFEM/Level-set." Thesis, Université de Lorraine, 2018. http://www.theses.fr/2018LORR0094/document.

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Lors de l'opération d’usinage à grande vitesse, la résistance à l'usure des outils de coupe est améliorée par l’utilisation des revêtements mono ou multicouches sur les faces actives de l’outil. Cependant, le chargement thermomécanique généré à l'interface outil-pièce affecte considérablement les zones de contact. Par cet effet, plusieurs modes d'usure tels que la fissuration, l’abrasion, l’adhésion et le délaminage du revêtement peuvent se manifester. L'étude du comportement des revêtements et de leurs différents modes de dégradation permet de mieux comprendre leur impact sur la durée de vie
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10

Shibanuma, Kazuki. "Reformulation of XFEM and its application to fatigue crack simulations in steel structures." 京都大学 (Kyoto University), 2010. http://hdl.handle.net/2433/120941.

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11

Jamond, Olivier. "Propagation numérique de zones critiques dans un pneumatique par approches multi-modèles." Thesis, Châtenay-Malabry, Ecole centrale de Paris, 2011. http://www.theses.fr/2011ECAP0020/document.

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Ces travaux se sont attachés au développement, à l’implémentation et à la validation d’une stratégie numérique pour la simulation de l’évolution d’un endommagement localisé susceptible de conduire à l’apparition, puis à la propagation de fissures dans une structure complexe, incompressible. Nous avons abordé cet objectif général en procédant par étapes.Dans un premier temps, nous avons développé une méthodologie numérique innovante pour la propagation de fissures dans le cadre de la mécanique de la rupture fragile. Cette méthodologie a deux caractéristiques importantes : incluant l’enrichissem
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González, Estrada Octavio Andrés. "Estimación y acotación del error de discretización en el modelado de grietas mediante el método extendido de los elementos finitos." Doctoral thesis, Universitat Politècnica de València, 2010. http://hdl.handle.net/10251/7203.

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El Método de los Elementos Finitos (MEF) se ha afianzado durante las últimas décadas como una de las técnicas numéricas más utilizadas para resolver una gran variedad de problemas en diferentes áreas de la ingeniería, como por ejemplo, el análisis estructural, análisis térmicos, de fluidos, procesos de fabricación, etc. Una de las aplicaciones donde el método resulta de mayor interés es en el análisis de problemas propios de la Mecánica de la Fractura, facilitando el estudio y evaluación de la integridad estructural de componentes mecánicos, la fiabilidad, y la detección y control de grietas.
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Santos, Matheus Vilar Mota. "Analysis of delamination of composite laminates through the XFEM based on the Layerwise displacement theory." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/18/18148/tde-03102018-122551/.

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Composite laminates are being more employed as fundamental structures due to its low weight and high stiffness. An example of this innovation is the primary structures of modern aircraft, which are lighter than the material formerly used. To predict the material response as load gradually increases can be quite demanding due to composite\'s complex failure mechanism. Hence superior computational models should be further investigated to precisely predict the mechanical behavior of composite media. This dissertation addresses an extended finite element procedure based on the layerwise displacem
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14

Jan, Yannick. "Modélisation de la propagation de fissure sur des structures minces, soumises à des sollicitations intenses et rapides, par la méthode X-FEM." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSEI066/document.

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Actuellement, les méthodes classiques (éléments finis, endommagement, critère de rupture) pour analyser la tenue des structures sous des chargements extrêmes sont très dépendantes de la taille de maille du modèle et nécessitent à la fois un savoir-faire spé- cifique dans le domaine et des études de sensibilité au maillage. De nouvelles approches basées sur la méthode des éléments finis étendus permettent de traiter des propagations de fissure sur des structures de petites tailles et volumiques. Cependant, la propagation sur de grandes longueurs avec des modèles volumiques demande une puissance
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15

Sherif, Ahmed. "Compact High-Order Accurate Scheme for Laminar Incompressible Two-Phase Flows." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0004.

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L'objectif de cette thèse est de développer une méthode précise d'ordre élevé pour résoudre le problème d'écoulementlaminaire incompressible à deux phases. Trois tâches principales sont à accomplir. Premièrement, la méthode doit être stable en énergie, ce qui signifie que la condition sans divergence de l'équation de Navier-Stokes incompressible est satisfaite partout dans le domaine de calcul. Deuxièmement, les discontinuités locales apparaissant dans le champ d'écoulement diphasique doivent être capturées avec précision. Troisièmement, l'interface matérielle entre les deux fluides doit être
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16

Amdouni, Saber. "Numerical analysis of some saddle point formulation with X-FEM type approximation on cracked or fictitious domains." Thesis, Lyon, INSA, 2013. http://www.theses.fr/2013ISAL0007/document.

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Ce mémoire de thèse à été réalisée dans le cadre d'une collaboration scientifique avec "La Manufacture Française des Pneumatiques Michelin". Il porte sur l'analyse mathématique et numérique de la convergence et de la stabilité de formulations mixtes ou hybrides de problèmes d'optimisation sous contrainte avec la méthode des multiplicateurs de Lagrange et dans le cadre de la méthode éléments finis étendus (XFEM). Tout d'abord, nous essayons de démontrer la stabilité de la discrétisation X-FEM pour le problème d'élasticité linéaire incompressible en statique. Le deuxième axe, qui représente le c
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17

Gibert, Gaël. "Propagation de fissures en fatigue par une approche X-FEM avec raffinement automatique de maillage." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSEI088.

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Dans cette thèse, une nouvelle approche est présentée, combinant la méthode des éléments finis étendus (X-FEM) et un raffinement adaptatif et automatique de maillage (AMR). La méthode X-FEM, développée durant les deux dernières par une importante communauté, a prouvé son efficacité pour gérer l'évolution de discontinuités dans de nombreux problèmes de mécanique de la rupture. Comme cette méthode permet de décrire la fissure indépendamment du maillage de la structure, un raffinement hiérarchique relativement simple peut être appliqué sur ce dernier pour adapter localement l'échelle de discrétis
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18

Henke, Florian [Verfasser]. "An extended finite element method for turbulent premixed combustion / Florian Henke." München : Verlag Dr. Hut, 2013. http://d-nb.info/1042307482/34.

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19

BARBOSA, JAIME ANDRES CASTANEDA. "NUMERICAL SIMULATION OF HYDRAULIC FRACTURING BY THE EXTENDED FINITE ELEMENT METHOD." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=31482@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Um dos principais objetivos da engenharia de petróleo é desenvolver e aplicar técnicas capazes de aumentar a produtividade de poços de petróleo, incluindo a estimulação do poço por operações de fraturamento hidráulico. Estudos sobre a propagação de fraturas podem ser feitos analiticamente para algumas situações simplificadas envolvendo homogeneidade, isotropia e condições de contorno simples do meio geológico, ou pela aplicação de métodos numéricos, como o método dos elementos
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20

Alpert, David N. "Enriched Space-Time Finite Element Methods for Structural Dynamics Applications." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1377870451.

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21

Gualandi, Gabriele. "Crack modeling and crack propagation in structures using damage model and extended finite element techniques." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amslaurea.unibo.it/3931/.

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22

Jin, Hui, and Hao Wu. "Finite Element Modelling of Fracture in dowel-type timber connections." Thesis, Linnéuniversitetet, Institutionen för maskinteknik (MT), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-34783.

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Dowel-type steel to timber connections are commonly used in timber structure. The load carrying capacity and the stress distribution within the connection area are complicated and the failure behavior of a connection depends on many parameters. The main purpose of this thesis was to verify, using the data obtained from previous experiments, the conventional design method of European Code 5(EC5) (hand calculation) for dowel type joints subjected to pure bending moment and other alternative design methods based on the finite element method (FEM) including the use of the mean stress approach and
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23

Chirputkar, Shardool U. "Bridging Scale Simulation of Lattice Fracture and Dynamics using Enriched Space-Time Finite Element Method." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313753940.

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24

Nagai, Toshiki. "Space-time Extended Finite Element Method with Applications to Fluid-structure Interaction Problems." Thesis, University of Colorado at Boulder, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10844711.

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<p> This thesis presents a space-time extended finite element method (space-time XFEM) based on the Heaviside enrichment for transient problems with moving interfaces, and its applications to the fluid-structure interaction (FSI) analysis. The Heaviside-enriched XFEM is a promising method to discretize partial differential equations with discontinuities in space. However, significant approximation errors are introduced by time stepping schemes when the interface geometry changes in time. The proposed space-time XFEM applies the finite element discretization and the Heaviside enrichment in both
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Behroozinia, Pooya. "Finite Element Analysis of Defects in Cord-Rubber Composites and Hyperelastic Materials." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/87703.

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In recent years, composite materials have been widely used in several applications due to their superior mechanical properties including high strength, high stiffness, and low density. Despite the remarkable advancements in theoretical and computational methods for analyzing composites, investigating the effect of lamina properties and lay-up configurations on the strength of composites still remains an active field of research. Finite Element Method (FEM) and Extended Finite Element Method (XFEM) are powerful tools for solving the boundary value problems. One of the objectives of this work is
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Li, Shanhu. "Extended voronoi cell finite element model for damage in brittle matrix composites." The Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1135317411.

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Yao, Lan. "Experimental and numerical study of dynamic crack propagation in ice under impact loading." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSEI043/document.

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Les phénomènes liés au comportement à la rupture de la glace sous impact sont fréquents dans le génie civil, pour les structures offshore, et les processus de dégivrage. Pour réduire les dommages causés par l'impact de la glace et optimiser la conception des structures ou des machines, l'étude sur le comportement à la rupture dynamique de la glace sous impact est nécessaire. Ces travaux de thèse portent donc sur la propagation dynamique des fissures dans la glace sous impact. Une série d'expériences d'impact est réalisée avec un dispositif de barres de Hopkinson. La température est contrôlée p
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Gürkan, Ceren. "Extended hybridizable discontinuous Galerkin method." Doctoral thesis, Universitat Politècnica de Catalunya, 2018. http://hdl.handle.net/10803/664035.

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This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface definition. X-HDG combines the Hybridizable HDG method with an eXtended Finite Element (X-FEM) philosophy, with a level set description of the interface, to form an hp convergent, high order unfitted numerical method. HDG outperforms other Disconti
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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
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SILVA, PATRICK ANDERSON BAHIA VIEIRA DA. "AN IMPLEMENTATION OF THE EXTENDED FINITE ELEMENT METHOD FOR ANALYSIS OF TWO-DIMENSIONAL FRACTURE PROPAGATION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=25699@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>O Método Estendido dos Elementos Finitos (XFEM) consiste em uma técnica para modelagem explícita de fraturas. Este método carrega toda a estrutura do método dos elementos finitos e baseia-se no Método da Partição da Unidade. O método tem como essência a adição de funções de enriquecimento ao campo dos deslocamentos contínuos, de modo a representar descontinuidades no modelo. O referido método permite a inserção da fratura no modelo de forma independente da malha e apresenta a
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Melson, Joshua Hiatt. "Fatigue Crack Growth Analysis with Finite Element Methods and a Monte Carlo Simulation." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/48432.

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Fatigue crack growth in engineered structures reduces the structures load carrying capacity and will eventually lead to failure. Cycles required to grow a crack from an initial length to the critical length is called the fatigue fracture life. In this thesis, five different methods for analyzing the fatigue fracture life of a center cracked plate were compared to experimental data previously collected by C.M. Hudson in a 1969 NASA report studying the R-ratio effects on crack growth in 7075-T6 aluminum alloy. The Paris, Walker, and Forman fatigue crack growth models were fit the experimental da
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Bhamare, Sagar D. "High Cycle Fatigue Simulation using Extended Space-Time Finite Element Method Coupled with Continuum Damage Mechanics." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1352490187.

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Swindeman, Michael James. "A Regularized Extended Finite Element Method for Modeling the Coupled Cracking and Delamination of Composite Materials." University of Dayton / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1324605778.

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Dinh, Anh thi. "Finite Element Methods for nonlinear interface problems. Application to a biofilm growth model". Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCD083.

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Un biofilm est un ensemble de micro-organismes tels que les bactéries, les champignons ou encore les algues qui vivent en communauté. Les biofilms ont la capacité d’être présents en tout lieu. Ils sont observés dans les milieux aqueux ou humides. Ils peuvent se développer sur n’importe quel type de surface naturelle ou artificielle,qu’elle soit minérale (roche, interfaces air-liquide...) ou organique (peau, tube digestif,racines et feuilles des plantes), industrielle (canalisations, coques des navires) ou médicale comme les prothèses et les cathéters. Cette ubiquité est à l’origine de nombreus
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MacFadden, James. "Computational methods for incompressible fluid flows, with reference to interface modelling by an extended finite element method." Thesis, Swansea University, 2006. https://cronfa.swan.ac.uk/Record/cronfa42810.

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In this thesis an implicit Semi-Discrete Stabilized eXtended Finite Element formulation has been successfully developed and implemented for laminar Newtonian incompressible fluid flows. In doing so we have contributed to the research into the field of incompressible fluid flows, multiphase flow and fluid-rigid body interaction. The fluid flows are governed by the incompressible viscous Navier-Stokes equations, using a Finite Element formulation to model the fluid behaviour numerically. A Semi-Discrete time integration scheme was implemented, discretizing in space, leaving the system of ordinar
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Dumstorff, Peter. "Modellierung und numerische Simulation von Rissfortschritt in spröden und quasi-spröden Materialien auf Basis der extended finite element method." Aachen Shaker, 2005. http://d-nb.info/994959834/04.

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Rempler, Hans-Uwe [Verfasser], and Wolfgang [Akademischer Betreuer] Ehlers. "Damage in multi-phasic materials computed with the extended finite-element method / Hans-Uwe Rempler. Betreuer: Wolfgang Ehlers." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2012. http://d-nb.info/1028801238/34.

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Pham, Hung Tien [Verfasser], Ingo [Akademischer Betreuer] Sass, and Wolfram [Akademischer Betreuer] Rühaak. "Extended fully coupled analysis of consolidation using the finite element method / Hung Tien Pham ; Ingo Sass, Wolfram Rühaak." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2020. http://d-nb.info/1207999903/34.

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Jox, Stefan. "3D-hygromechanische Modellierung von Rissbildung in Verbindung mit Feuchtetransport in Betonstrukturen auf Basis der extended finit element method." Aachen Shaker, 2008. http://d-nb.info/995684421/04.

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Bach, Dang Phong. "Development of a finite element strategy for the modeling of nano-reinforced materials." Thesis, Compiègne, 2020. http://bibliotheque.utc.fr/EXPLOITATION/doc/IFD/2020COMP2550.

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La modélisation des matériaux nano-renforcés nécessite de prendre en compte l’effet de taille induit par les phénomènes locaux à l’interface entre la nanoinclusion et la matrice. Cet effet de taille est interprété par une augmentation du rapport interface/volume et peut être pris en compte en introduisant une élasticité surfacique à l’interface. Alors que de nombreux travaux ont été développés du point de vue analytique, peu de contributions ont trait à la description numérique et à la mise en œuvre de cette élasticité surfacique dans la méthode des éléments finis (FEM). Nos études visent à dé
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Zangmeister, Tobias [Verfasser], and Ralf [Akademischer Betreuer] Müller. "On the Extended Finite Element Method for the Elasto-Plastic Deformation of Heterogeneous Materials / Tobias Zangmeister. Betreuer: Ralf Müller." Kaiserslautern : Technische Universität Kaiserslautern, 2015. http://d-nb.info/1064868894/34.

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Jox, Stefan [Verfasser]. "3D hygromechanische Modellierung von Rissbildung in Verbindung mit Feuchtetransport in Betonstrukturen auf Basis der Extended Finite Element Method / Stefan Jox." Aachen : Shaker, 2009. http://d-nb.info/1159832781/34.

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43

Müller, Sebastian. "Modellierung des schädigungsbehafteten inelastischen Materialverhaltens von Faser-Kunststoff-Verbunden." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-161374.

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Die Arbeit beschreibt eine Modellierung des Materialverhaltens von Faser-Kunststoff-Verbunden unter Berücksichtigung der lokalen Materialstruktur, den konstitutiven Eigenschaften der Verbundbestandteile sowie charakteristischer Schädigungsphönomene. Die Diskretisierung eines repräsentativen Ausschnitts der Materialstruktur erfolgt unter Verwendung der erweiterten Finiten-Elemente-Methode (XFEM). Sie ermöglicht die effiziente Modellierung des Steifigkeitssprunges an den inneren Materialgrenzen und deren Versagen. Der Verlauf der Elementgrenzen muss dabei nicht an die Materialstruktur angepasst
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44

Dumstorff, Peter [Verfasser]. "Modellierung und numerische Simulation von Rissfortschritt in spröden und quasi-spröden Materialien auf Basis der Extended Finite Element Method / Peter Dumstorff." Aachen : Shaker, 2009. http://d-nb.info/1156518784/34.

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45

Videla, Marió Javier Andrés. "Fracture modelling directly from computer-aided design (CAD) by the extended isogeometric finite element method (X-IGA FEM) with trimmed nurbs." Tesis, Universidad de Chile, 2017. http://repositorio.uchile.cl/handle/2250/146434.

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Ingeniero Civil Mecánico<br>Tanto los software de Diseño Asistido por Computadora (CAD) como las herramientas de análisis por medio del Método de Elementos Finitos (FEM) han tenido un enorme impacto en la actividad ingenieril en las últimas décadas. Aun así, tienen la desventaja de que las geometrías CAD no son directamente compatibles con las geometrías utilizas en FEM, lo cual resulta en la necesidad de re-mallar la geometría varias veces durante un ciclo de soluciones FEM. Para solucionar esto, IGA ha sido propuesto como una metodología capaz de generar un vínculo directo entre el diseño me
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Woodward, Huw. "On the application of the method of difference potentials to linear elastic fracture mechanics." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/on-the-application-of-the-method-of-difference-potentials-to-linear-elastic-fracture-mechanics(fec9a25c-0e37-4e53-ac35-ba85233c7dae).html.

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The Method of Difference Potentials (DPM) has proven an efficient tool for the solution of boundary value problems (BVPs) in various fields of research including acoustics and fluid mechanics. The method converts the solution of problems of complex geometry to the multiple solutions of a simple, well defined auxiliary problem, on which efficient solvers can be used, and which also avoids the numerical computation of stiffness matrices. So far, most problems solved by the method have been considered for regular domains. Here the method is considered for the solution of Linear Elastic Fracture M
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Gutiérrez, Aqueveque Rodrigo Hernán [Verfasser], and L. [Akademischer Betreuer] Stempniewski. "Two-dimensional modelling of fracture in reinforced concrete structures applying the extended finite element method / Rodrigo Hernán Gutiérrez Aqueveque ; Betreuer: L. Stempniewski." Karlsruhe : KIT-Bibliothek, 2020. http://d-nb.info/1220359041/34.

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48

Sutula, Danas. "Energy minimising multi-crack growth in linear-elastic materials using the extended finite element method with application to Smart-Cut™ silicon wafer splitting." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/95561/.

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We investigate multiple crack evolution under quasi-static conditions in an isotropic linear-elastic solid based on the principle of minimum total energy, i.e. the sum of the potential and fracture energies, which stems directly from the Griffith’s theory of cracks. The technique, which has been implemented within the extended finite element method, enables minimisation of the total energy of the mechanical system with respect to the crack extension directions. This is achieved by finding the orientations of the discrete crack-tip extensions that yield vanishing rotational energy release rates
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Zhang, Chao Verfasser], Timon [Akademischer Betreuer] [Rabczuk, Carsten [Gutachter] Könke, and Pedro [Gutachter] Areias. "Crack Identification using Dynamic Extended Finite Element Method and Thermal Conductivity Engineering for Nanomaterials / Chao Zhang ; Gutachter: Carsten Koenke, Pedro Areias ; Betreuer: Timon Rabczuk." Weimar : Institut für Strukturmechanik, 2019. http://d-nb.info/1176197266/34.

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Zhang, Chao [Verfasser], Timon [Akademischer Betreuer] Rabczuk, Carsten [Gutachter] Könke, and Pedro [Gutachter] Areias. "Crack Identification using Dynamic Extended Finite Element Method and Thermal Conductivity Engineering for Nanomaterials / Chao Zhang ; Gutachter: Carsten Koenke, Pedro Areias ; Betreuer: Timon Rabczuk." Weimar : Institut für Strukturmechanik, 2019. http://d-nb.info/1176197266/34.

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