摘要
使用有限部积分概念和极限方法得到了三维平片界面裂纹的超奇异积分微分方程组后，进一步利用二维超奇异积分主部分析方法，对裂纹前沿的应力场作了理论分析，并获得了其奇性应力场和以裂纹面位移间断表示的复应力强度因子的精确表达式．为三维平片界面裂纹的超奇异积分微分方程组的求解建立了数值方法，并分析了界面椭圆平片裂纹问题，和现有解比较。
By using the finite part integral concepts and limit technique, the hypersingular integrodifferential equations of 3D planar interface crack were obtained, then the dominant part analysis of 2D hypersingular integral was further used to investigate the stress fields near the crack front theoretically, and the accurate formulae were obtained for the singular stress fields and the complex stress intensity factors. After that, a numerical method is proposed to solve the hypersingular integrodifferential equations of 3D planar interface crack, and the problem of elliptical planar crack is then considered to show the application of the method. The obtained numerical results are satisfactory.
出处
《固体力学学报》
CAS
CSCD
北大核心
1999年第1期8-15,共8页
Chinese Journal of Solid Mechanics
基金
国家教委同济大学固体力学开放研究实验室基金
国家自然科学基金
关键词
三维
平片
界面裂纹
奇性应力场
应力强度因子
D planar interface crack, hypersingular integrodifferential equation, numerical method
