Anisotropic Plastic Stress Fields at a Rapidly Propagating Crack-Tip

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Lin Bai-song. Anisotropic Plastic Stress Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1988, 9(1): 31-36.

Citation:

Lin Bai-song. Anisotropic Plastic Stress Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1988, 9(1): 31-36.

Citation:

Lin Bai-song. Anisotropic Plastic Stress Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1988, 9(1): 31-36.

Abstract

All the stress components at a rapidly propagating crack-tip in an elastic perfectly-plastic material are the functions of θ only. Making use of this condition and the equations of steady-state motion, stress-strain relations and Hill anisotropic yield condition, we obtain the general solutions in both the cases of anti-plane and in-plane strain. Applying these two general solutions to propagating Mode III and Mode I cracks, respectively, the anisotropic plastic stress fields at the rapidly propagating tips of Mode III and Mode I cracks are derived.

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