各向异性双材料界面裂纹扩展裂尖场

应用界面断裂力学理论和Stroh方法,研究了广义平面变形下动态裂纹沿着各向异性双材料界面扩展时的裂尖奇异应力及动态应力强度因子.双材料界面的动态裂尖区域特性主要由两个实矩阵W和D确定,且裂尖奇异应力和动态应力强度因子可以由包含这两个矩阵的柯西奇异积分方程确定,同时给出了动态应力强度因子和能量释放率的显示表达式.算例得出当裂纹以小速度扩展时,裂尖振荡因子ε与静态时几乎相同,当界面裂纹扩展速度接近瑞利波速时,ε趋于无穷大;同时得出应力强度因子及能量释放率随裂纹扩展速度的变化关系.

Growing Crack Tip-fields on Anisotropic Bimaterial Interface

Following the interfacial fracture theory and Stroh formalism, singular stresses and dynamic stress intensity factors are evaluated when the dynamic crack grows along the interface of anisotropic bimaterials. The characteristic in dynamic crack fields depended on two real matrices W and D (3×3), and it is found that the singular stresses and dynamic stress intensity factors are determined by Cauchy singular integral equation including the two real matrices, and the explicit expressions for the dynamic stress intensity factors. The numerical example demonstrates that the oscillatory index ε gets simular in static state in case of lower crack growth velocity while it goes to infinity as the crack growth velocity approaches Rayleigh wave one.