无网格方法在二维弹性力学计算中的应用

通过选取合适的权函数和基函数，将无网格局部伽辽金法用于二维弹性力学计算．计算中，积分都在规则形状边界子域上完成，因而容易实现；通过罚因子添加本质边界条件，从而使得到的刚度矩阵是正定对称矩阵．将计算结果与ANSYS有限元法的计算结果进行比较，结果表明，无网格法用于二维弹性力学计算具有精度高、稳定性好和适应性强等优点．

Application of Meshless Method to Calculation of 2-D Elasticity Mechanics Problems

The meshless local Petro-Galerkin method was applied to the calculation of two-dimensional elasticity mechanics problems by choosing proper weight functions and basis functions. With the method, all integrals can be easily fulfilled on regular sub-domain boundaries, and to impose the essential boundary conditions, a penalty parameter can be used so that a positive definite and symmetric stiffness matrix may be obtained. The comparison of its calculated result with that obtained using the ANSYS finite element method shows that the meshless method has the advantages such as high calculation accuracy, good stability and strong adaptability.