The non-uniqueness of the transition 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 w...The non-uniqueness of the transition 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 mouocrystal,a polycrystal and a composite.The procedure 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 polycrystalline materials.展开更多
文摘The non-uniqueness of the transition 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 mouocrystal,a polycrystal and a composite.The procedure 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 polycrystalline materials.
