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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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 199; no. 37; pp. 2590 - 2606
Main Authors: Arun, C.O., Rao, B.N., Srinivasan, S.M.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.08.2010
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2010.04.009