ON CORRECT ACCOUNT OF FINITE ROTATIONS IN FINITE PLASTICITY THEORY

摘要

The non-uniqueness of the transition from nonobjective constitutive relations to objective oneswith the use of the principle of material frame-indifference(PMFI)is shown.To eliminate it,the concept offinite strain without rotations(FSWR)for a given material type and each strain component(elastic,plastic)is introduced.In FSWR the rotation is excluded with respect to the natural preferred configuration for agiven material.Considered are a simple solid,a liquid,a mouocrystal,a polycrystal and a composite.Theprocedure is proposed lbr consistent generalization of known infinitesimal relations for finite strains and rota-tions.The structure of constitutive relations is derived for anisotropic elasto-plastic mono-and polycrystallinematerials.