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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1149-1162
Journal / PublicationComputational Mechanics
Issue number6
Online published6 Dec 2013
Publication statusPublished - Jun 2014


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. © 2013 Springer-Verlag Berlin Heidelberg.

Research Area(s)

  • Complex variable element-free Galerkin (CVEFG) method, Complex variable moving least-squares (CVMLS) approximation, Elastoplastic large deformation, Element-free Galerkin (EFG) method, Meshless method, Moving least-squares (MLS) approximation