无网格伽辽金法(EFGM)求解接触问题

本文考虑到无网格伽辽金法只需节点信息，不需将节点连成单元，并且有精度高，后处理方便等优点，从而用它求解接触问题。这里采用的方法是将Ｋａｔｏｎａ界面单元引入ＥＦＧＭ，迭代求得两物体间的接触状态。算例表明，本文方法基本可行。

Application of Element Free Galerkin Method (EFGM) to Contact Problems

Element Free Galerkin Method (EFGM),similar to FEM, is a new numerical method. In EFGM, in order to obtain a numerical solution to a partial differential equation, shape function is constructed by Moving Least Square (MLS),the governing equation is produced from the weak form of variational equation,and Lagrange multipliers are employed to satisfy essential boundary conditions. The merits of EFGM are:(1) only nodal data are necessary,i.e. there is no need to joint nodes into elements;(2) high accuracy can be achieved;(3) postprocess is easy.The advantages of EFGM considered,this paper applies EFGM to contact problems. The contact state of two bodies can be obtained iteratively with EFGM, to which the Katona interface element is introduced. The presented example shows that the present idea is basically feasible.