Boundary integral equation formulation for Interface cracks in anisotropic materials
Boundary integral equation formulation for Interface cracks in anisotropic materials
复制标题
DOI：
10.1007/s004660050246
复制
发表时间：
1997-08
影响因子：
4.1
通讯作者：
J. Berger;V. Tewary
中科院分区：
文献类型：
--
作者：
J. Berger;V. Tewary
基于格林函数，给出了各向异性界面裂纹问题的边界积分公式。边界积分方程所需的基本位移解和牵引解由格林函数得到。裂纹表面的无牵引力边界条件完全满足格林函数，因此不需要对裂纹表面进行离散化。界面裂缝位移和应力场的解析形式包含在精确的格林函数中，从而为裂缝的建模策略提供了优势。格林函数包含与弹性、各向异性界面裂纹问题相关的反平方根和振荡奇点。给出了边界元分析的积分方程，并给出了铜镍双材料界面开裂的实例问题。
We present a boundary integral formulation for anisotropic interface crack problems based on an exact Green's function. The fundamental displacement and traction solutions needed for the boundary integral equations are obtained from the Green's function. The traction-free boundary conditions on the crack faces are satisfied exactly with the Green's function so no discretization of the crack surfaces is necessary. The analytic forms of the interface crack displacement and stress fields are contained in the exact Green's function thereby offering advantage over modeling strategies for the crack. The Green's function contains both the inverse square root and oscillatory singularities associated with the elastic, anisotropic interface crack problem. The integral equations for a boundary element analysis are presented and an example problem given for interface cracking in a copper-nickel bimaterial.