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Stochastic damage growth analysis using EFGM
Published in
2008
Volume: 3
   
Pages: 441 - 450
Abstract
A stochastic meshless method is presented for solving boundary-value problems in damage mechanics under elastic-plastic conditions that involves random material properties. Material is assumed to have an initial damage, which follows a lognormal filed. An isotropic unified damage law, formulated by Lemaitre is used in this study. A meshless formulation based on element free Galerkin method (EFGM) is developed to predict stochastic structural response. A scaled matrix approach is used for applying the essential boundary conditions in EFGM. The proposed method is based on perturbation technique. First order perturbation technique for damage growth in an elastic plastic analysis is formulated. Newton-Raphson algorithm is used to solve for material nonlinearity. A numerical example is solved to study the effect of random initial damage in the structural response and further damage growth. Monte Carlo technique is used to validate the proposed method. © 2008 by ASME.
About the journal
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
ISSN0277027X
Open AccessNo
Concepts (25)
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    DAMAGE GROWTH
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    Damage mechanics
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    Elastic-plastic
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    ELASTIC-PLASTIC ANALYSIS
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    Element-free galerkin method
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    ESSENTIAL BOUNDARY CONDITIONS
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    First order
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    INITIAL DAMAGE
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    LOG-NORMAL
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    Material non-linearity
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    MATRIX APPROACH
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    MESH-LESS METHODS
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    MESHLESS FORMULATIONS
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    MONTE CARLO TECHNIQUES
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    NEWTON-RAPHSON ALGORITHM
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    Numerical example
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    RANDOM MATERIAL PROPERTIES
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    Structural response
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    Boundary conditions
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    Galerkin methods
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    Newton-raphson method
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    Perturbation techniques
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    Pressure vessels
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    Stochastic systems
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    Monte carlo methods