弹塑性力学问题的无网格法分析  

ANALYSIS OF THE ELASTO-PLASTIC PROBLEM BY MESHLESS METHOD

作　　者：熊渊博[1] 龙述尧[1] 刘凯远[1] 

机构地区：[1]湖南大学工程力学系,长沙410082

出　　处：《机械强度》2004年第6期647-651,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金 (1 0 372 0 30 );湖南省自然科学基金 (0 2JJY40 71 )资助项目。

摘　　要：提出弹塑性力学问题的无网格局部Petrov Galerkin(meshlesslocalPetrov 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 Galer kin方法是一种很有效的求解弹塑性力学问题的方法。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.

关 键 词：弹塑性问题 无网格局部Petrov—Galerkin方法 移动最小二乘近似函数 Newton-Raphson法 

分 类 号：O242.2[理学—计算数学] O344.3[理学—数学]