任意外型薄板非线性后屈曲问题的边界元解

本文就薄板后屈曲问题建立一组新型的边界元计算公式，用这组公式求解能方便处理各种边界问题，另外文中将面内应力分解成基本部份和附加部份，并利用微分算子分解理论导得了挠度的一个不同形式的基本解，由于计算公式中，实现了面内位移和挠度的解耦，从而使迭代过程得到简化，文末还对圆板后屈曲路径进行了计算，得到了满意的结果。

A BEM ON POSTBUCKLING OF PLATES WITH ARBITRAY SHAPE

A fundamental solution of deflection for plate buckling problems is first derived through the separation of in-plane stresses into an essential part and a disturbed part and by use of the resolution theorem of differential operator. A set of new boundary element formulae for the analysis of postbuckling problems of elastic plates are presented. Based on these formulae, in-plane and out-of-plane displacements can be decoupled. The solution procedure for the boundary value problems of the in-plane displacement becomes very simple. An example of a circular plate is considered and its results are in good agreement with the known ones. The method in this paper is very efflective for solving the postbuckling problem of plates with arbitrary geometry.