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Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method

Li, D. M. ORCID: https://orcid.org/0000-0001-7677-7834, Liew, K. M. and Cheng, Y. M. 2014. Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method. Computational Mechanics 53 (6) , pp. 1149-1162. 10.1007/s00466-013-0954-4

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Abstract

Using the complex variable moving least-squares (CVMLS) approximation, a complex variable element-free Galerkin (CVEFG) method for two-dimensional elastoplastic large deformation problems is presented. This meshless method has higher computational precision and efficiency because in the CVMLS approximation, the trial function of a two-dimensional problem is formed with a one-dimensional basis function. For two-dimensional elastoplastic large deformation problems, the Galerkin weak form is employed to obtain its equation system. The penalty method is used to impose essential boundary conditions. Then the corresponding formulae of the CVEFG method for two-dimensional elastoplastic large deformation problems are derived. In comparison with the conventional EFG method, our study shows that the CVEFG method has higher precision and efficiency. For illustration purpose, a few selected numerical examples are presented to demonstrate the advantages of the CVEFG method.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Springer Verlag (Germany)
ISSN: 0178-7675
Date of Acceptance: 19 November 2013
Last Modified: 07 Nov 2022 10:02
URI: https://orca.cardiff.ac.uk/id/eprint/130920

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