A theoretical analysis of finitely deforming f.c.c. crystals in the sixfold symmetry position

Abstract

An exhaustive analysis of finite plastic straining of f.c.c. crystals in the sixfold, tensile symmetry position is presented. Classical Taylor hardening and the ‘simple theory’ of finite-distortional latent hardening serve, in turn, as a basis for the theoretical studies. For prescribed axial loading, wherein each theory permits a variety of strain-rates and axis rotations, a quasi-energetic postulate is found that constrains (or partially constrains) the solution to that which appears physically most likely: axis stability accompanied by axisymmetric deformation. The two theories are contrasted with one another, with positive-definite hardening rules (which are briefly considered), and with diverse empirical evidence that defines the essential features of finite deformation and latent hardening of f.c.c. crystals in a variety of single- and multiple-slip orientations. It appears that only the simple theory, augmented by a minimumwork postulate, is consistent with this diverse evidence.