Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending
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摘要: 使用单裂纹解及调和函数的常规解,裂纹柱受横向力作用而引起的Saint-Venant弯曲问题,被归为解两组积分方程,并获得了一般解。在此基础上,对横截面不为薄壁但扭转刚度很小的裂纹柱,提出了一种计算弯曲中心和应力强度因子的方法,给出了一些数值算例。
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关键词:
- 裂纹柱 /
- Saint-Venant弯曲 /
- 弯曲中心 /
- 应力强度因子 /
- 积分方程方法
Abstract: Using the single crack solution and the regular solution of plane harmonic function,the problem of Saint-Venant bending of a cracked cylinder by a transverse force was reduced to solving two sets of integral equations and its general solution was then obtained.Based on the obtained solution,a method to calculate the bending center and the stress intensity factors of the cracked cylinger whose cross section is not thin-walled,but of small torsion rigidity is proposed.Some numerical examples are given. -
[1] 铁摩辛柯 S,盖尔 J. 材料力学[M]. 胡人礼译. 北京:科学出版社,1978. [2] 钱伟长,林鸿荪,胡海昌,等. 弹性柱体的扭转理论[M].北京:科学出版社,1956. [3] Muskhelishviei N I. Some Basic Problems of the Mathematical Theory of Elasticity[M]. Groningen-Holland: P.Noord hoff Ltd Press,1953. [4] TANG Ren-ji, CHEN Wei-jiang. Boundary element method to solve torsion problem of cracked cylinder[J]. Acta Mechanica Solids Sinica,1990,3(4):447-455.
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