带任意裂纹的弹性半平面基本问题

Fundamental Problem of Elastic Half-plane with Arbitrary Cracks

给出了带任意裂纹的各向同性弹性半平面基本问题的一种新提法 ,通过适当的函数分解和消元方法 ,将问题转化为求解裂纹上的Riemann Hilbert边值问题 ,得到了弹性体应力函数封闭形式的积分表达式 。

A new formulation is provided for the fundamental problem of elastic half-plane with arbitrary cracks. By using proper decomposition of the functions and elimination, the problem is reduced to Riemann-Hilbert's boundary value problem on cracks. The stress functions of elastic body are obtained in closed form of integral expression and the stress intensity factors on the tip of cracks are also derived.