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半平面裂纹问题的边界积分方程

A new boundary integral equation for half plane elastic bodies contaning cracks
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摘要 研究弹性半平面上的裂纹问题,得到一个适宜于求解各向同性半平面断裂力学问题的新边界积分方程,在裂纹面上以位错密度为未知量,以此求解应力强度因子.新的边界积分方程只具有1/r的奇异性,且适用于求解半平面上任意形状的裂纹问题. In this paper a new boundary integral equation is derived for dealing with crack problems of the half plane bodies which are assumed to be linear elastic and isotropic. On the upper and lower crack surfaces, the dislocation density is regarded as an unknown quantity and used to obtain the stress intensity factors. It should be pointed out that the new boundary integral equation is also suitable for half plane bodies containing cracks which can be of arbitrary shapes.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第4期16-19,共4页 Journal of Lanzhou University(Natural Sciences)
基金 江苏大学青年科学基金资助项目(1283000067)
关键词 边界积分方程 半平面问题 裂纹 位错密度 应力强度因子 boundary integral equation half plane problem crack dislocation density stress intensity factor
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参考文献4

  • 1Erdogan F, Arin K. A half plane and a strip with an arbitrarily located crack[J]. International Journal Fracture, 1975, 11(2): 191-204.
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  • 3Wang Y B, Chau K T. A new boundary element for plane elastic problems involving cracks and holes[J].International Journal of Fracture, 1997, 87: 1-20.
  • 4Muskhelishivili.数学弹性力学的几个基本问题[M].北京:科学出版社,1958..

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