Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip

Lin Bai-song

Volume 12 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 613-620

Lin Bai-song. Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1991, 12(7): 613-620.

Citation:

Lin Bai-song. Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1991, 12(7): 613-620.

Citation:

Lin Bai-song. Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1991, 12(7): 613-620.

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Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip

Lin Bai-song

Central-South Polytechnic University, Changsha

Received Date: 1989-05-10
Publish Date: 1991-07-15

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 the Mises yield condition, steady-state moving equations and elastic perfectly-plastic constitutive equations, we derive the generally analytical expressions of perfectly plastic fields at a rapidly propagating plane-stress crack tip. Applying these generally analytical expressions to the concrete crack, we obtain the analytical expressions of perfectly plastic fields at the rapidly propagating tips of modes I and Ⅱ plane-stress cracks.
- crack-tip,
- perfectly plastic fields,
- plastic region,
- line of stress discontinuity

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References(5)

References

[1]	Слепян Л.И.,Динамика тращины в удругопластическом теле,Изв АНСССР МТТ,11,2(5976).]44.
[2]	A chenbach,J.D,and V,Dunayevsky,Fields near a rapidly propagating crack-tip in an elastic perfectly-plastic materials.J.Mech,Phys,Solids,29,4(19s1),283-303.
[3]	林拜松,高速扩展裂纹尖端的理想弹塑性场,应用数学和力学,6,10(19A5),939-946.
[4]	林拜松,高速扩展平面应力裂纹尖端的理想塑性应力场,应用数学和力学,7,8(1986),751-758.
[5]	林拜松,静止裂纹尖端的理想塑性应力场,应用数学和力学,6,5(1985),415-421.

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