不同材料拼接半平面的周期裂缝问题

On the Periodic Crack Problems of a Half Plane Bounded with Different Materials

带周期裂缝的不同材料拼接平面弹性基本问题,马道玮作过讨论,本文将用复变方法讨论拼接半平面上带周期分布裂缝时的弹性基本问题,把在满足一定边界条件下寻求复应力函数的问题归结为求解某种正则型奇异积分方程,并证明这种方程的解存在且唯一。

In this paper, both the first and the second fundamental problems in a half plane with periodic cracks of arbitrary shape arc discussed by complex variable method. The half plane is bounded with two different materials. The problems are reduced to some singular integral equations with several unknown constants, which arc proved to be uniquely solvable when these constants arc suitably chosen.