三维非局部弹性场中裂纹问题的分析方法  

The Method of Analysis of Crack Problem in Three_Dimensional Non_Local Elasticity

作　　者：赵明皞[1] 程昌钧[2] 刘元杰[1] 刘国宁[1] 张石山[1] 

机构地区：[1]机械工业部郑州机械研究所 [2]上海大学力学系应用数学和力学研究所

出　　处：《应用数学和力学》1999年第5期445-451,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金;机械工业技术发展基金;河南省自然科学基金

摘　　要：通过求解得到了三维非局部弹性力学对称情形的单位集中不连续位移基本解·基于该基本解和三维局部（经典）弹性力学的不连续位移边界积分方程———边界元方法·提出了三维非局部弹性力学中的平片裂纹Ⅰ型问题的通用解法。In this paper, the displacement discontinuity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional (3D) non_local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary integral_equation (DDBIE) and boundary_element method (DDBEM) of local (classical) elasticity, a method of analysis of crack in 3D non_local elasticity with a generalized application is proposed with the DDFS. By use of the method, several important problems of fracture mechanics are analysed.

关 键 词：非局部弹性力学 断裂力学 边界积分方程 裂纹 

分 类 号：O346.1[理学—固体力学] O343[理学—力学]