摘要
本文用复变万法讨论了带双周期分布孔洞和带双周期分布裂缝的无限弹性平面的混合边值问题．结出了这类问题的正确提法．把寻求复应力函数的问题分别归结为求解某种Fred－holm积分方程和某种正则型奇异积分方程组，证明了解存在且唯一．
The mixed boundary value problems in an infinite elastic plane with periodicholes or cracks are discussed by complex variable method. The precise formulation of themixed problems are given. The problems are reduced to some fredholm integral equationand some system of singular integral equations respectively, which are proved to be uniquelysolvable.
出处
《应用数学学报》
CSCD
北大核心
1997年第1期77-85,共9页
Acta Mathematicae Applicatae Sinica
基金
国家教委博士点基金
关键词
双周期分布
孔洞
裂缝
混合边值问题
弹性平面
Periodic holes and cracks, mixed boundary value problems,complex variable method, system of singular integral equations
