Abstract
Under the condition that any perfectly plastic stress components at a crack tip are nothing but the functions of 0 only making use of equilibrium equations. Hill anisotropic yield condition and unloading stress-strain relations, in this paper, we derive the general analytical expressions of anisotropic plastic stress fields at the slowly steady propagating tips of plane and anti-plane strain. Applying these general analytical expressions to the concrete cracks, the analytical expressions of anisotropic plastic stress fields at the-slowly steady propagating tips of Mode I and Mode III cracks are obtained. For the isotropic plastic material, the anisotropic plastic stress fields at a slowly propagating crack tip become the perfectly plastic stress fields.
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Communicatcd by Chien Wei-zang
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Bai-song, L. Anisotropic plastic stress fields at a slowly propagating crack tip. Appl Math Mech 10, 759–765 (1989). https://doi.org/10.1007/BF02019301
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DOI: https://doi.org/10.1007/BF02019301