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A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids

Gu, YuanTong, Wang, Q. X. , Lam, K. Y., & Dai, K. Y. (2007) A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids. Engineering Analysis with Boundary Elements, 31(9), pp. 771-782.

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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

Impact and interest:

7 citations in Scopus
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7 citations in Web of Science®

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288 since deposited on 12 Nov 2007
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ID Code: 10658
Item Type: Journal Article
Keywords: Numerical simulation, Material nonlinearity, Elasto, plastic analysis, Meshless method, RBF, Local weak, form
DOI: 10.1016/j.enganabound.2006.12.008
ISSN: 0955-7997
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Mechanical Engineering not elsewhere classified (091399)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 2007 Elsevier
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 12 Nov 2007
Last Modified: 29 Feb 2012 23:35

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