Abstract
The non-uniqueness of the trantition from nonobjective constitutive relations to objective ones with the use of the principle of material frame-indifference (PMFI) is shown. To eliminate it, the concept of finite 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 a given material. Considered are a simple solid, a liquid, a monocrystal, a polycrystal and a composite. The proecedure is proposed for consistent generalization of known infinitesimal relations for finite strains and rotations. The structure of constitutive relations is derived for anisotropic elasto-plastic mono- and polycrystalline materials.
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Levitas, V.I. On correct account of finite rotations in finite plasticity theory. Acta Mech Sinica 8, 253–260 (1992). https://doi.org/10.1007/BF02489249
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DOI: https://doi.org/10.1007/BF02489249