Open Access

ABSTRACT

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

Zhenhan Yao¹,Zhangfei Zhang¹, Xi Zhang¹

1 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.

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