REFORMULATION OF NON-LINEAR CONSTITUTIVE RELATIONS OF CONCRETE FOR LARGE-SCALE FINITE ELEMENT METHOD ANALYSIS

Abstract

 This paper proposes re-formulation of the non-linear concrete constitutive relation that is proposed by Maekawa's group, so that a fast solver for large scale non-linear finite element method is applicable. The reformulation is made in a rigorously mathematical manner. It succeeds to eliminate tensor inversion in computing an elasto-plasticity tensor and to use a positive-definite and symmetric elasticity tensor in computing stress rate in terms of strain rate. Numerical experiments are carried out to examine the convergence and equivalence of the re-formulated constitutive relation and to demonstrate the positive-definiteness of the elasticity tensor used in computing the stress rate.