A finite element with embedded localization zones

Keywords

Finite element method, Quadrilateral, Compatibility (geochemistry), Mathematics, Traction (geology)

References

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• A finite element method for localized failure analysisM. Ortíz, Yves M. Leroy, A. Needleman — 1987
• Acceleration waves in solidsR. Hill — 1962
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• CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALSJohn W. Rudnicki, J. R. Rice — 1975
• Localization limiters in transient problemsDavid Lasry, Ted Belytschko — 1988
• On the Variational Foundations of Assumed Strain MethodsJ.C. Simo, Thomas J.R. Hughes — 1986
• Efficient implementation of quadrilaterals with high coarse-mesh accuracyTed Belytschko, William E. Bachrach — 1986
• On flexurally superconvergent four-node quadrilateralsTed Belytschko, Bruce E. Engelmann — 1987
• Material rate dependence and mesh sensitivity in localization problemsA. Needleman — 1988
• Finite element analysis of deformation of strain‐softening materialsSt. Pietruszczak, Z. Mróz — 1981
• Generalization of selective integration procedures to anisotropic and nonlinear mediaThomas J.R. Hughes — 1980
• Wave propagation in a strain-softening bar: Exact solutionZdeněk P. Bažant, Ted Belytschko — 1985
• Incompatible Displacement ModelsE. Wilson, R. Taylor, William P. Doherty — 1973
• Localization of plastic deformationJ. Rice — 1976

Cited by

• Propagation numérique de zones critiques dans un pneumatique par approches multi-modèlesOlivier Jamond — 2011
• Formulation énergétique de la rupture par des modèles de forces cohésives : considérations théoriques et implantations numériquesJérôme Laverne — 2004
• Computational Nanomechanics of MaterialsHuang, Hanchen — 2004
• A novel augmented finite element method for modeling arbitrary cracking in solidsSeyedreza Mohammadizadeh — 2013
• Finite elements for modeling of localized failure in reinforced concreteMiha Jukić — 2013
• 3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack pathsThomas C. Gasser, Gerhard A. Holzapfel — 2006
• Extending the novel A-FEM to model arbitrary cracking in thermo-elastic solidsBao-Chan Do — 2014
• Computation of the Effective Properties of Materials with MicrostructureMark D. Adley — 1991
• Identification expérimentale et simulation numérique de l'endommagement en dynamique rapide : application aux structures aéronautiquesIonel Nistor — 2005
• Contribution aux approches multi-échelles séquencées pour la modélisation numérique des matériaux à matrice cimentaireNathan Benkemoun — 2010
• Prévision objective de la rupture ductile en grandes déformations sous sollicitation dynamique : Modèle d'épuisement plastique à taux limitésGermain Court — 2006
• Théories cohésives de rupture pour l'analyse numérique de l'endommagement des matériauxA. Pandolfi — 2007
• Meso-scale FE and morphological modeling of heterogeneous media : applications to cementitious materials "Emmanuel Roubin, COLLIAT, Jean-Baptiste — 2013
• Application of Extended Finite Element Method to Cracked Concrete Elements – Numerical AspectsJ. Bobiński, J. Tejchman — 2012
• Numerical modeling of crack formation in power compaction processesJoaquín Alberto Hernández Ortega, J. Oliver, J. Cante — 2009
• Modèles continus et "discrets" pour les problèmes de localisation et de rupture fragile et/ou ductileDelphine Brancherie — 2003
• USE OF ADVANCED COMPOSITES FOR HAWAII BRIDGESH. R. Riggs, S H Park, Ian N. Robertson — 2004
• Numerical methods in structural mechanicsZ. Bittnar, Jiřı́ Šejnoha — 1996
• Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture modelYilin Gui, Ha H. Bui, Jayantha Kodikara — 2016
• Alleviating the Mesh Burden in Computational Solid MechanicsStéphane Bordas, Timon Rabczuk, Juan-Jo Ródenas — 2010

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