具任意裂纹的复合材料弹性平面周期焊接问题

Periodic welding problem of compound material with arbitrary shape cracks on elastic plane

应用平面弹性复变方法,研究了具任意裂纹的复合材料弹性平面周期焊接问题,通过周期Sherman变换,将其转化为带Hilbert核的奇异积分方程,并给出了解的存在惟一性定理.

By using plane elastic complex variable method, periodic welding problem of compound material with arbitrary shape cracks is investigated. It can be changed into singular integral equation with Hilbert kernel by introducing periodic Sherman transformation. Furthermore, the existence and uniqueness of the solution are proved.