Abstract
Under the condition that all the stress components at a crack-tip are the functions of θ only, making use of the equations of steady-state motion, stress-strain relations and Hill anisotropic yield conditions, we obtained the general solutions at a crack-tip in both the cases of anti-plane and in-plane strains. Applying these general solutions to the concrete cracks, the anisotropic plastic fields at the rapidly propagating tips of mode III and mode I cracks are derived.
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References
Lin Bai-song, Anisotropic plastic stress field near a singular point,Appl. Math. Mech., (English Ed.),8, 8 (1987), 767–772.
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Communicated by Pan Li-zhou
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Bai-song, L. Anisotropic plastic fields at a rapidly propagating crack-tip. Appl Math Mech 14, 169–176 (1993). https://doi.org/10.1007/BF02453359
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DOI: https://doi.org/10.1007/BF02453359