On finite deformation plasticity with directional softening Part I: One-component model

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A physically based continuum model of finite deformation plasticity with anisotropic hardening is developed and used to evaluate the differences of stress responses in tension, compression and torsion (directional softening) for various materials at large deformations. The coupling effects of back stress and plastic spin are incorporated into the model according to the scale invariance method recently suggested by Aifantis. Moreover, the effects of nonlinear dislocation hardening and recovery softening are included. It is shown that the theoretically obtained stress responses in tension, compression and torsion are in good agreement with available experimental data for Copper, Brass and Silver. © 1990 Springer-Verlag.

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Acta Mechanica