Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip

Lin Bai-song

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Lin Bai-song. Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip[J]. Applied Mathematics and Mechanics, 1992, 13(3): 271-278.

Citation:

Lin Bai-song. Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip[J]. Applied Mathematics and Mechanics, 1992, 13(3): 271-278.

Citation:

Lin Bai-song. Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip[J]. Applied Mathematics and Mechanics, 1992, 13(3): 271-278.

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Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip

Lin Bai-song

Central-South University of Technology, Changsha

Received Date: 1989-08-10
Publish Date: 1992-03-15

Abstract

Abstract

Under the condition that all the perfectly plastic stress components at a crack tip are the functions of θ only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this paper, we derive the generally analytical expressions of perfectly plastic stress field at a stationary plane-strain crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the stationary tips of Mode Ⅰ, Mode Ⅱ and Mixed-Mode Ⅰ-Ⅱ plane-strain cracks are obtained. These analytical expressions contain Poisson ratio.
- Poisson ratio,
- plane-strain,
- stationary crack-tip,
- perfectly-plastic stress fields,
- generally analytical expression

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References(4)

References

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