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Title: A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids
Authors: Gu, Y.T.
Wang, Q.X.
Lam, K.Y.
Dai, K.Y. 
Keywords: Elasto-plastic analysis
Local weak-form
Material nonlinearity
Meshless method
Numerical simulation
Issue Date: Sep-2007
Citation: Gu, Y.T., Wang, Q.X., Lam, K.Y., Dai, K.Y. (2007-09). A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids. Engineering Analysis with Boundary Elements 31 (9) : 771-782. ScholarBank@NUS Repository.
Abstract: This paper aims to develop an effective meshless technique for the analysis of elasto-plastic problems. The material nonlinearity will be studied by a new pseudo-elastic local radial point interpolation formulation which is based on the local Petrov-Galerkin form and the radial basis function (RBF) interpolation. Hencky's total deformation theory is used to define the effective Young's modulus and Poisson's ratio, which are treated as spatial field variables, and considered as functions of the final stress state and material properties. These effective material parameters are obtained in an iterative manner using the strain controlled projection method. Several numerical examples are presented to illustrate the effectivity of the newly developed formulation, and the numerical results obtained by the present method closely agree with the results obtained by other methods. It has proven that the present pseudo-elastic local meshless method is effective and easy to apply to the analysis of elasto-plastic materials subjected to proportional loading. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Engineering Analysis with Boundary Elements
ISSN: 09557997
DOI: 10.1016/j.enganabound.2006.12.008
Appears in Collections:Staff Publications

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