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Mathematical model of successive plastic deformations in three mutually perpendicular directions
Authors:D. N. Cherepanov  L. E. Popov  V. S. Kobytev
Abstract:A mathematical model is formulated for successive plastic deformations in three mutually perpendicular directions when dislocation annihilation is negligible. In some slip systems, the motion of the dislocations changes sign when the deformation axis changes. This results in markedly slower strain hardening of the crystal. Comparison of the theoretical and experimental hardening curves shows that they agree qualitatively at small deformations. The sharp divergence of the curves at large deformations results from neglect of dislocation annihilation in the calculations. Tomsk State Architectural and Construction Academy. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 80–86, September, 1997.
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