The Method of Analysis of Crack Problem in Three-Dimensional Non-Local Elasticity
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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,并给出了算例.Abstract: 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.
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