双周期平面弹性具相对位移混合边值问题的三种提法及解法

ON THE DOUBLY PERIODIC MIXED BOUNDARY VALUE PROBLEM WITH RELATIVE DISPLACEMENT IN PLANE ELASTICITY

给出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混合边值问题的三种提法，并采用复变函数方法，建立数学模型，推广方法构造出复应力函数解的形式。并以其中的问题为例，将其归结为正则型的具Ｗｅｉｅｒｓｔｒａｓｓξ核的奇异积分方程。

hree formulation of the doubly periodic mixed boundary value problem inplane elasticity is proposed when the displacements given on the closed boundary contours ofa multconnected elastic region are relative to certain rigid motions which are different to eachother for different boundary contours.