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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Lin Bai-song, Anisotropic plastic stress fields near a singular point,Applied Mathematics and Mechanics 8, 8 (1987), 767–772.
Lin Bai-song, Elastic perfectly plastic stress fields at a rapidly propagating crack-tip,Applied Mathematics and Mechanics,6, 10 (1985), 1017–1025.
Hill, R.,The Mathematical Theory of Plasticity, Oxford (1970).
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Communicated by Hsueh Dah-wei
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Bai-song, L. Anisotropic plastic stress fields at a rapidly propagating crack-tip. Appl Math Mech 9, 31–36 (1988). https://doi.org/10.1007/BF02017884
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DOI: https://doi.org/10.1007/BF02017884