带裂纹圆柱体扭转的强奇性积分方程解法  

The Solution of Integral Equations with Strongly Singular Kernels Applied to the Torsion of Cracked Circular Cylinder

作　　者：李玉兰[1] 马稚青 汤任基[3] 

机构地区：[1]兰州大学 [2]第九设计研究院 [3]上海交通大学

出　　处：《应用数学和力学》1993年第10期853-859,共7页Applied Mathematics and Mechanics

基　　金：国家教委博士点基金资助项目

摘　　要：本文以裂纹的翘曲位移间断为基本未知函数,把带裂纹圆柱体的扭转问题化为求解一组强奇性积分方程,并利用数值法,对星形及其它不同形状裂纹圆柱体的抗扭刚度和应力强度因子作了数值计算,计算结果令人满意.In this paper, the functions of warping displacement interruption defined on the crack lines are taken for the fundamental unknown functions. The torsion problem of cracked circular cylinder is reduced to solving a system of integral equations with strongly singular kernels. Using the numerical method of these equations, the torsional rigidities and the stress intensity factors are calculated to solve the torsion problem of circular cylinder with star-type and other different types of cracks. The numerical results are satisfactory.

关 键 词：裂纹 扭转 积分方程 圆柱体 解 

分 类 号：O344.3[理学—固体力学]