Stochastic meshfree method for elasto-plastic damage analysis

This paper presents a stochastic meshfree method for solving boundary -value problems in damage mechanics under elasto -plastic conditions. Isotropic ductile damage evolution law is used to model the coupled elasto -plastic damage growth. Uncertainty associated with initial damage in materials is co...

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Vydané v:	Computer methods in applied mechanics and engineering Ročník 199; číslo 37; s. 2590 - 2606
Hlavní autori:	Arun, C.O., Rao, B.N., Srinivasan, S.M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 01.08.2010 Elsevier
Predmet:	Damage Discretization Elasto -plastic damage analysis Element -free Galerkin method Exact sciences and technology First and second order perturbation methods Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Karhunen Loève expansion Mathematical models Mathematics Meshless methods Methods of scientific computing (including symbolic computation, algebraic computation) Nonlinear equations Numerical analysis. Scientific computation Perturbation methods Physics Random field Sciences and techniques of general use Shape functions Solid mechanics Stochastic meshfree method Stochasticity Structural and continuum mechanics Element -free Galerkin method Random field First and second order perturbation methods Stochastic meshfree method Elasto -plastic damage analysis Karhunen Loève expansion Statistical analysis Karhunen Loeve transformation Probabilistic approach Elasto-plastic damage analysis Equilibrium equation Modeling Inelasticity Perturbation method Uncertain system Boundary value problem Elastoplasticity Least squares method Meshless method Element-free Galerkin method Galerkin method Ductile fracture Non linear effect Damaging
ISSN:	0045-7825, 1879-2138
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Shrnutí:	This paper presents a stochastic meshfree method for solving boundary -value problems in damage mechanics under elasto -plastic conditions. Isotropic ductile damage evolution law is used to model the coupled elasto -plastic damage growth. Uncertainty associated with initial damage in materials is considered as random field. Moving least squares shape function method and Karhunen Loève expansion method are used for random field discretization. Statistical parameters of the response quantities are computed using perturbation method. The proposed method involves a new stochastic stress update procedure to solve the nonlinear equations in terms of discretized random variables arising from perturbation of equilibrium equations system. Numerical examples comprising of one and two dimensional problems are presented to illustrate the effectiveness of proposed method.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2010.04.009