用子域边界元法研究各向异性材料中的界面裂纹

ANALYSIS OF INTERFACE CRACK IN ANISOTROPIC MATERIALS BY SUBDOMAIN BEM

用子域边界元法研究各向异性材料中的界面裂纹．在边界元公式中，采用了带特征根的基本解．以增量形式的边界积分方程为基础．通过二次等参元及四分之一面力奇异元离散化处理，可以得到各子域的代数方程组．依据凝集技术．可得到仅含有子域公共边界及裂纹边界未知量的求解方程组．通过迭代法，可以寻求到每种载荷作用下的裂纹所处的真实状态．然后．由文献［２］中的方法求解界面裂纹的应力强度因子．结果表明，子域边界元方法是正确的和可行的．

In this paper the interface cracks in anisotropic materials are studied by subdomain BEM. The fundamental solutions with characteristic roots are adopted in boundary integral equation. Quarter point traction singular elements and isoparametric quadratic elements are used for treating fracture problems. This leads to the equation system in each domain to be obtained. Then a condensed equation system is obtained by imposing displacement compatibility and traction equilibrium. After the right contact states of crack area are attained by iteration methods, the stress intensity factor for interface cracks will be found by the method in Ref.[2] Examples show the versatility and the efficiency of this method.