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.
出处
《应用数学和力学》
EI
CSCD
北大核心
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
关键词
非局部弹性力学
断裂力学
边界积分方程
裂纹
non_local elasticity
fracture mechanics
boundary_integral equation method
