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ABSTRACT

Some Application of MLPG in Large Deformation Analysis of Hyperelasto-Plastic Material

Zhenhan Yao1,Zhangfei Zhang1, Xi Zhang1

Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(3), 133-138. https://doi.org/10.3970/icces.2007.003.133

Abstract

The Meshless Local Petrov-Galerkin (MLPG) Method is applied to solve large deformation problems of elasto-plastic materials. In order to avoid re-computation of the shape functions, the supports of MLS approximation functions cover the same sets of nodes during the deformation; fundamental variables are represented in spatial configuration, while the numerical quadrature is conducted in the material configuration; the derivation of shape function to spatial coordinate is pushed back to material coordinate by tensor transformation. For simulating both large strain and large rotation, the multiplicative hyperelasto-plastic constitutive model is adopted for path-dependent material. Numerical results indicate that the MLPG method can solve large deformation and large rotation of elasto-plastic materials accurately. Moreover, it can simulate the strain localization phenomenon induced by material instability of strain softening materials.

Cite This Article

Yao, Z., Zhang, Z., Zhang, X. (2007). Some Application of MLPG in Large Deformation Analysis of Hyperelasto-Plastic Material. The International Conference on Computational & Experimental Engineering and Sciences, 3(3), 133–138.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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