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Computational Mechanics
Erschienen in: Computational Mechanics 6/2014

01.06.2014 | Original Paper

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

verfasst von: D. M. Li, K. M. Liew, Y. M. Cheng

Erschienen in: Computational Mechanics | Ausgabe 6/2014

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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.
Vorheriger Artikel An adaptive multiscale method for quasi-static crack growth
Nächster Artikel Nitsche’s method for two and three dimensional NURBS patch coupling

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Metadaten
Titel
Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method
verfasst von
D. M. Li
K. M. Liew
Y. M. Cheng
Publikationsdatum
01.06.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0954-4

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