Strain-rate-based plastic potentials for polycrystalline materials

Abstract

Although the existence of strain-rate based potentials which are work-conjugate of given stress potentials has been theoretically demonstrated, analytical expressions of strain-rate potentials are only known for a very few cases. In this chapter, closed-form expressions for strain-rate-based plastic potentials are derived for both isotropic and anisotropic fully-dense polycrystalline materials. Besides their intrinsic importance in design and optimization of metal forming processes, these analytic strain-rate potentials enable the development of the closed form expressions of plastic potentials for porous metallic materials that are presented in Chaps. 7 and 8.