Abstract
Within the framework of the model of plasticity strips, we study the elastoplastic problem of fracture mechanics concerning the development of these strips near the tips of an edge crack in a circular disk. We assume that plastic deformations near the crack tip are localized along three plasticity strips (L 1,L 2,L 3) under the conditions of plane stressed state and along two plasticity strips (L 1,L 2) under the conditions of plane deformation. One of these strips (L 3) is modeled by a line of discontinuity of normal and tangential displacements and the remaining two strips (L 1,L 2) are modeled by the lines of discontinuity of tangential displacements. Their lengths and orientations are determined as a result of numerical solution of the problem by the method of singular integral equations. We also present the values of the crack-tip opening displacements.
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Additional information
Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 36, No. 1, pp. 17–22, January–February, 2000.
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Panasyuk, V.V., Savruk, M.P., Ivanyts'ka, H.S. et al. Tension of an elastoplastic disk. Part 2. Edge crack. Mater Sci 36, 14–20 (2000). https://doi.org/10.1007/BF02805111
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DOI: https://doi.org/10.1007/BF02805111