Constitutive Equations for Large Deformations of Metals at High Temperatures

摘要

A set of internal variable type constitutive equations that model large elastic-viscoplastic deformations of metals at high temperatures is formulated. The reduced constitutive equations should be useful for describing deformation behavior of initially isotropic metals up to deformation levels where significant polycrystal texturing has not developed. Based on one result of hot compression tests on a 2% silicon iron, specific viscoplastic constitutive functions are proposed, and the values for the material parameters appearing in the functions are determined. The constitutive equations with the functions and material parameters accurately reproduce the basic tests and predict the response of the metal to some complicated strain rate jump experiments. The constitutive equations should be useful for application to the analysis of hot-working of metals.