摘要
本文用复变方法讨论了半平面内含若干条任意形状裂缝时的弹性基本问题,包括各向同性和各向异性两种情况,把寻求复应力函数的问题归结为求解某种带若干待定常数的正则型奇异积分方程,证明了若适当且唯一地选择这些常数的值,该方程的解存在且唯一。
In this paper ,the fundamental problem in an isotropic or anisotropic elastic half-plane with cracks of arbitrary shape is discussed by using the complex variable method. It can be reduced to some singular integral equation, which is proved to be uniquely solvable if some undetermined constants are suitably chosen.
出处
《应用数学》
CSCD
北大核心
1994年第2期174-179,共6页
Mathematica Applicata
关键词
各向异性
二维问题
弹性力学
裂缝
Anisotropic
Cracks
Plane elasticity
Complex variable method
Singular integral equation
