Kirchhoff型裂纹板的边界元法  

BOUNDARY ELEMENT SOLUTION FOR KIRCHHOFF'S CRACKED PLATE

作　　者：吕品[1] 黄茂光[1] 王秀喜[1] 

机构地区：[1]中国科技大学

出　　处：《工程力学》1991年第3期25-35,共11页Engineering Mechanics

基　　金：国家自然科学基金

摘　　要：本文用的复变函数理论,导出了含裂板弯曲问题的基本解。该基本解满足自由裂纹的边界条件。将其引入直接或间接积分方程中,只要对板的外边界进行离散,就可计算有限尺寸裂纹板的弯曲问题。算例表明,本文所得到的基本解用以求解裂纹板弯曲问题划分的单元较少,精度较高。本文的方法还可用以求解含有形状比较复杂的裂纹或孔洞板弯曲问题的基本解。In this paper, a special fundament solution for cracked plate is presented in terms of complex function theory. This fundamental solution has satisfied free crack boundary conditions. When it is taken in integral equations, plate bending problems can be calculated only out boundary of the plate should be discretized. The method in this paper can also be applied to some situation of plate bending problems with non-regular shape crack or hole.

关 键 词：Kirchhoff型 裂纹 板 边界元法 

分 类 号：O346.1[理学—固体力学]