Abstract
We postulate the existence of a subclass of simple strain-hardening elastoplastic materials with behavior that is independent of the active-deformation path. General defining relations have been constructed for such materials, and approaches to their rigorous specialization have been developed. The strains and the symmetry type of the material's properties are arbitrary. Particular attention was given to the simulation of finite and infinitesimal strains in isotropic materials. An analysis of the equations obtained has been performed. It has been shown under which assumptions the relations constructed reduce to the equations of the Hencky deformation theory.
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