APPLICATION OF MLPG METHOD IN LARGE DEFORMATION ANALYSIS

The meshless local Petrov-Galerkin method (MLPG) is extended for solving large deformation problems in this paper. A nonlinear local symmetric weak form is derived and linearized to obtain the nonlinear MLPG approach, and the optimization of the efficiency of MLPG is performed to make the MLPG method to be an algorithm of O(N). Some numerical examples on both geometrically nonlinear, and geometrically and material multiple nonlinear problems are given to verify that the MLPG handles such large deformation problems with good convergence and high accuracy as compared with the finite element method, and it can reduce the difficulty of mesh distortion, which usually encountered in the finite element analysis.