Governing parameter method for numerical integration of constitutive models for clays

Abstract

Governing Parameter Method (GPM) is robust, accurate and efficient method for stresses calculation from given strains within incremental inelastic analysis. GPM is implicit stress point algorithm and basic step is to express all unknown variables in the integration procedure in terms of one governing parameter. Within the return mapping algorithm, stress integration is achieved by solving one nonlinear equation with respect to the governing parameter. Two GPM stress point algorithms are shown in the paper, for the Modified Cam Clay model and for the HASP constitutive model for overconsolidated clays developed by authors. Constitutive models were implemented in Abaqus. Verification of the numerical procedure was performed.