Stress-Strain Field near Crack Tip and Calculation of Critical Stress of Crack Propagation in a Pure Bending Beam of Rectangular Section with One-Sided Mode I Crack

Liu Hanchi

Volume 16 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(8): 727-736

Liu Hanchi. Stress-Strain Field near Crack Tip and Calculation of Critical Stress of Crack Propagation in a Pure Bending Beam of Rectangular Section with One-Sided Mode I Crack[J]. Applied Mathematics and Mechanics, 1995, 16(8): 727-736.

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Stress-Strain Field near Crack Tip and Calculation of Critical Stress of Crack Propagation in a Pure Bending Beam of Rectangular Section with One-Sided Mode I Crack

Liu Hanchi

Llaoyuan Aviation Machine Building Company, Shannxi 723313, P.R. China

Received Date: 1994-12-22
Publish Date: 1995-08-15

Abstract

Abstract

This paper studies the stress-sirain field near crack tip in a pure bending beam of rectangular section with one-sided mode I crack by the analytic method of Ref [1],then it gives the stress and strain components at the crack tip when the crack propagates and further it obtains the formulas of calculating the elastic deformed area width, the deformed intensity, area width and the equation groups of calculating the critical stress of crack propagation, last the equation group of calculating critical stress of crack propagation is verified by calculating instance. The maximum error is 0.18%.
- critical stress of crack propagation,
- plastic-elastic rate near cracktip,
- transforming rate

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References(5)

References

[1]	Liu Hanchi, Stress-strain field near crack tip and calculation of critical stress of crack propagation in a single tension finite width thin sheet with central mode I piercing crack, Advances in Applied Mathematics and Mechanics in China, 4,IAP(1992), 171-184.
[2]	Liu Hanchi, Stress-strain Geld near crack tip and calculation of critical stress of crack propagation in a single tension finite sheet with one-side mode I crack, Advances in Applied Mathematics and Mechanics in China, 4, IAP (1992), 135-146.
[3]	陈境等.K工程断裂力学》，国防工业出版社(1977).
[4]	单辉祖主编.《材料力学教程》，国防工业出版社(1965).
[5]	工程材料实用手册编辑委员会，《工程材料实用手册》.1，中国标准出版社(1988).

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