椭圆平片裂纹前沿应力强度因子解析解的超奇异积分方程方法  

A METHOD OF HYPERSINGULAR INTEGRAL EQUATION FOR EXACT SOLUTIONS OF ELLIPTICALL CRACK PROBLEMS

作　　者：陈梦成[1] 陈振建[2] 汤任基[2] 幸筱流 

机构地区：[1]华东交通大学,南昌330013 [2]上海交通大学,上海200030 [3]南昌铁路机械学校,南昌330013

出　　处：《固体力学学报》1999年第4期331-334,共4页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金!( 批准号:19672036) ;博士点资助

摘　　要：对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程,巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性,获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解.运用这些解析解和应力强度因子的定义,得到了裂纹前沿Ⅰ型、Ⅱ型和Ⅲ型应力强度因子的精确表达式。The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid. This gives rise to analytical solutions of the hypersingular integral equations for the elliptical crack subjected to uniform pressures in any direction. Furthermore, with the help of these solutions and K field definitions, exact expressions of mode Ⅰ, mode Ⅱ and mode Ⅲ stress intensity factors near the crack front are obtained. The present results are the same as the other available exact solutions.

关 键 词：椭圆平片裂纹 超奇异积分方程 应力强度因子 

分 类 号：O346.1[理学—固体力学]