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Publication Type : Book
Publisher : LAP Lambert Academic Publishing GmbH &CO.KG
Source : LAP Lambert Academic Publishing GmbH &CO.KG, Germany (2010)
Campus : Chennai
School : School of Engineering
Year : 2010
Abstract : This paper presents a stochastic meshfree method for solving boundary-value problems in damagenbsp;mechanics under elasto-plastic conditions. Isotropic ductile damage evolution law is used to model thenbsp;coupled elasto-plastic damage growth. Uncertainty associated with initial damage in materials is considerednbsp;as random ﬁeld. Moving least squares shape function method and Karhunen Loève expansion method arenbsp;used for random ﬁeld discretization. Statistical parameters of the response quantities are computed usingnbsp;perturbation method. The proposed method involves a new stochastic stress update procedure to solve thenbsp;nonlinear equations in terms of discretized random variables arising from perturbation of equilibriumnbsp;equations system. Numerical examples comprising of one and two dimensional problems are presented tonbsp;illustrate the effectiveness of proposed method.
Cite this Research Publication : A. C. O, Rao, B. N., and Srinivasan, S. M., Stochastic Meshfree Method for Elasto-Plastic Damage Analysis. Germany: LAP Lambert Academic Publishing GmbH &CO.KG, 2010.