Tension of a Clamped Rectangular Plate Containing a Central Crack

Tang Ren-ji; Wang Yi-qing

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Tang Ren-ji, Wang Yi-qing. Tension of a Clamped Rectangular Plate Containing a Central Crack[J]. Applied Mathematics and Mechanics, 1988, 9(9): 793-801.

Citation:

Tang Ren-ji, Wang Yi-qing. Tension of a Clamped Rectangular Plate Containing a Central Crack[J]. Applied Mathematics and Mechanics, 1988, 9(9): 793-801.

Citation:

Tang Ren-ji, Wang Yi-qing. Tension of a Clamped Rectangular Plate Containing a Central Crack[J]. Applied Mathematics and Mechanics, 1988, 9(9): 793-801.

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Tension of a Clamped Rectangular Plate Containing a Central Crack

Tang Ren-ji¹,
Wang Yi-qing²

1.
Lanzhou University, Lanzhou;
2.
Jiangsu Chemical Engineering Institute, Changzhou

Received Date: 1987-04-06
Publish Date: 1988-09-15

Abstract

Abstract

Using the fundamental solution of a single crack and the Fourier transform solution of an infinite strip, the tension problem of a clamped rectangular plate containing a central crack is reduced to solve a system of singular integral equations. Then, the normal stress on clamped side and the stress intensity factors of the central crack are carried out by means of Gauss-Jacobi integration formulas. The comparison of numerical results is shown in the "table of stress intensity factors".

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References(4)

References

[1]	汤任基、王凯,非对称载荷作用的Griffth裂纹问题,力学学报,3 (1980), 369-278.
[2]	Bowie,O.L.,Solutions of plane crack problems by mapping technique,Mechanics of Fracture 1(edited by G.C.Sih),(1973).
[3]	汤任基,夹紧矩形板拉伸及角点应力奇异性分析的积分方程方法,力学学报,1(1986),93-96.
[4]	Erdogan,F.,Mixed boundary value problem in mechanics,Mechanics Today(edited by S.Nemal-Nasser),4(1978).