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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (1): 79-88.

• 论文 • 上一篇    下一篇

METHOD TO CALCULATE BENDING CENTER AND STRESS INTENSITY FACTORS OF CRACKED CYLINDER UNDER SAINT-VENANT BENDING

汤任基1, 汤昕燕2   

  1. 1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China;
    2. Agricultural Engineering College, Nanjing Agricultural University, Nanjing 210032, P.R.China
  • 收稿日期:2000-01-20 修回日期:2000-09-25 出版日期:2001-01-18 发布日期:2001-01-18
  • 通讯作者: TANG Rei-ji,Member of Editorial Committee,AMM

METHOD TO CALCULATE BENDING CENTER AND STRESS INTENSITY FACTORS OF CRACKED CYLINDER UNDER SAINT-VENANT BENDING

TANG Ren-ji1, TANG Xin-yan 2   

  1. 1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China;
    2. Agricultural Engineering College, Nanjing Agricultural University, Nanjing 210032, P.R.China
  • Received:2000-01-20 Revised:2000-09-25 Online:2001-01-18 Published:2001-01-18

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摘要： 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.

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.

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