表面裂纹问题瞬态响应的边界元分析

本文将拉氏变换-边界元法用于表面裂纹问题的瞬态响应分析。文中讨论了拉氏反演参数的选择和动态应力强度因子的计算方法。作为程序的考核和离散方案的选择,分别地计算了水平柱体一端固定、另一端受p(t)=poH(t)载荷时的位移响应和具有贯穿裂纹的厚板在两种离散方案时的动态应力强度因子响应。最后,还计算了若干载荷工况的半圆表面裂纹板应力强度因子的瞬态响应,获得了有效的数值结果。

BEM Analysis of Transient Response in Surface Crack Problems

In this paper, the Laplace transformed boundary element method is used to analyse the transient responses of surface crack. The choice of Laplace inversion parameters and the calculation of dynamic SIF are discussed here in special. To verify the computation procedure and choose the discretization format, the transient displacement response of a prismatical beam under p(t) = p0H(t) loading and the transient SIF response of a thick plate with a through-thickness crack under two different discretization schemes are calculated. Finally, the transient SIF response of a plate with a semi-circular surface crack under several different loading conditions has also computed, and the results are shown to be quite good.