@Article{icces.2007.003.133,
AUTHOR = {Zhenhan  Yao,Zhangfei  Zhang, Xi  Zhang},
TITLE = {Some Application of MLPG in Large Deformation Analysis of Hyperelasto-Plastic Material},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {3},
YEAR = {2007},
NUMBER = {3},
PAGES = {133--138},
URL = {http://www.techscience.com/icces/v3n3/32207},
ISSN = {1933-2815},
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.},
DOI = {10.3970/icces.2007.003.133}
}