界面超高速自相似动态分层分析:反平面情况

DYNAMIC SELF-SIMILAR DEBONDING OF INTERFACE WIAT VERY HIGH VELOCITY: ANTI-PLANE CASE

对材料界面超高速自相似动态分层的反平面问题进行了解析分析．分层模拟为界面裂纹由零长度自相似扩展，扩展速度为跨音速或超音速．首先考虑运动集中载荷作用下界面动态分层的情况．利用界面裂纹自相似扩展的运动位错模型将问题归结为奇异积分方程，并求得解析解．分析了裂纹尖端的应力奇性，获得了动应力强度因子．最后，利用叠加原理给出了xn型载荷作用下界面动态分层的解．

The anti-plane problem of dynamic self-similar debonding of interface with veryhigh velocity is analyzed. The debonding is modeled as an interface crack propagating self-similarlyfrom zero-length- The extending speed is assumed to be transonic or supersonic. We first considerthe dynamic debonding under moving concentrated loads. The moving dislocation model of self-sim-ilar propagation of an interface crack is used to formulate the problem to a singular integral equationwhich is solved analytically. The singularity of stresses near the crack tips is discussed and the dy-namic stress intensity factors are presented. Finally the solution of dynamic debonding under theloads of type xn is obtained by using superposition method.