THE ANALYSIS OF INELASTIC BEHAVIOR FORMULATED AS AN INVERSE RHEOLOGICAL APPROACH

This paper deals with a theological analysis strategy, developed in or der to obtain an adequate characterization of the behaviour of materia l undergoing a large plastic deformation. Starting from physical and p henomenological considerations, a general theological constitutive mod el is chosen and introduced into a finite element simulation of the ex perimental tests. The theological analysis is then formulated as an in verse problem and the goal is to find the constitutive parameters whic h lead to the closest values to a set of experimental data measured un der various operating conditions. The least square deviation between c omputed and measured variables is minimized with respect to the parame ters of the constitutive equation for the material. The proposed metho d is illustrated by application to the torsion and tensile test of a g eneral thermo-viscoplastic material. All theological parameters defini ng the consistency and variation in strain rate sensitivity coefficien t with the strain or temperature are simultaneously determined startin g from a chosen constitutive law.