无界问题无网格方法和自然边界元的耦合计算

Coupling calculation of meshless method and natural boundary element for problems in unbounded domains

为充分利用无网格方法和自然边界元的优点,用无网格和自然边界元耦合的方法来解决带方孔的无界平面弹性问题,通过引入人工边界,用自然边界元方法来描述无界问题,编制无网格和自然边界元耦合方法的相应计算程序。与有限元方法计算结果的比较,表明了耦合方法的有效性。

To make full use of the advantages of meshless method and natural boundary element,the infinite plane elastic problem with a square hole was solved using the coupling method of them.A calculation program with the coupling method was compiled through applying artificial boundary and natural boundary element method to describe the unbounded problem.It showed the effectiveness of the coupled method by comparing with the calculation result of finite element method.