一类各向异性弹性长条周期裂缝问题

On the Fundamental Problems in an Infinite Anisotropic Long Elastic Strip with Periodic Cracks

采用复变函数的方法,讨论了各向异性弹性长条周期裂缝问题,给出了此问题的一般提法,把满足一定边界条件下求复应力函数的问题转化为求解某种正则型奇异积分方程,并证明了该方程在h2p类中求解时,其解存在不一定唯一,但最多在一条边上相差一个复常数.

In this paper,the fundamental problem in an infinitely long elastic strip with periodic cracks is discussed by the complex variable methods. The correct formulation for the problems is given. The problems are reduced to some singular equations with several unknown constants which are proved to be solvable in hzp when these constants are suitably chosen.