Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending

TANG Ren-ji; TANG Xin-yan

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(1): 71-78

TANG Ren-ji, TANG Xin-yan. Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending[J]. Applied Mathematics and Mechanics, 2001, 22(1): 71-78.

Citation:

TANG Ren-ji, TANG Xin-yan. Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending[J]. Applied Mathematics and Mechanics, 2001, 22(1): 71-78.

Citation:

TANG Ren-ji, TANG Xin-yan. Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending[J]. Applied Mathematics and Mechanics, 2001, 22(1): 71-78.

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Method to Calculate Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending

TANG Ren-ji¹,
TANG Xin-yan²

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 Date: 2000-01-20
Rev Recd Date: 2000-09-25
Publish Date: 2001-01-15

Abstract

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.
- cracked cylinger,
- Saint-Venant bending,
- bending center,
- stress intensity factors,
- integral equation method

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References(4)

References

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[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.