具相对位移的双周期平面弹性第二基本问题

On The Doubly-Periodic Second Fundamental Problem With Relative Displacement in Plane Elasticity

本文给出了双周期基本胞腔内含若干个任意形状孔洞的具相对位移的平面弹性第二基本问题的三种提法(Ⅰ),(Ⅱ),(Ⅲ),并采用路见可、мусхелишвили的复变函数方法,构造出了复应力函数解的形式,将问题(Ⅱ)归结为正则型的具核为Weierstrassζ函数的奇异积分方程。同时给出了求解方法。

In this paper. A formulation of the doubly-periodic second fundmental problem in plane elasticity is proposed when the displacements given on the closed boundary contours of a multi-connected elastic region are relative to certain rigid motions which are different to each other for different boundary contours. And a method of solution is also given together with an illustrated example.