弹塑性力学问题的无网格法分析

提出弹塑性力学问题的无网格局部Petrov—Galerkin(meshless local Petrov—Galerkin，MLPG)方法，这是一种真正的无网格方法。这种方法采用移动最小二乘近似函数作为试函数，并且采用移动最小二乘近似函数的权函数作为加权残值法的权函数，本质边界条件用罚因子法施加。文中采用Newton—Raphson法进行计算。计算实例表明．局部Petrov—Galerkin方法是一种很有效的求解弹塑性力学问题的方法。

ANALYSIS OF THE ELASTO-PLASTIC PROBLEM BY MESHLESS METHOD

A meshless local Petrov-Galerkin (MLPG) method for solving the elasto-plasticity problem is proposed. This is a truly meshless method. It uses the moving least square approximation as a trial function, and the weighted function of the moving least square approximation as a test function of the weighted residual method. The essential boundary conditions are enforced by a penalty method.The modified Newton-Raphson method is applied in computation.Numerical examples show that the local Petrov-Galerkin method is applicable and effective for solving the elasto-plasticity problem.