弹塑性问题的有限元与边界元耦合的数值方法及其应用

Numerical method of solving elasto-plastic problem by method of coupling finite element with boundary element ane applications

本文以三维弹塑性问题为例,详细介绍了有限元与边界元耦合的数值方法,提出了将边界元区域的全部未知量凝聚到耦合面上的办法来实现两者的耦合,以达到节省内存的目的.文中还就耦合中利用对称性时方程组产生病态的原因作了讨论,提出了解决的方法,最后给出了几个应用实例.计算结果表明,该方法具有效率高,精度好的特点.

In the paper,the author,taking the three dimensional elasto-plastic problem as example,comprehensively introduces numerical method of coupling the finite element with the boundary element, and presents method of condensing the all unknowns in boundary element domain to coupling surface in order to save computer storage. The paper also discusses the singular cause of simultaneous equation, wich is caused by utilizing symmetrization of geometry, and presents solvable menthod. Finally,several practical examples are studied.The numerica-lresults manifests that the method has the advantage of hi gh efficience and well accuracy.