Generalized Mapping Rule for Image Point Identification in 3D Bounding Surface Plasticity Models

Abstract

This paper presents a generalized yet simple mapping rule for image point identification in 3D bounding surface plasticity (BSP) models. It is based on the determination of the correct locations of the current and reversal stress points in the principal stress space using the eigenvectors of the stress tensors. To this end, a numerical procedure based on eigenvalue analysis is proposed to track the movement of the stress points in the principal stress space. To highlight the salient features of the approach, the mapping rule is implemented in a 3D BSP model. Numerical results and comparisons with laboratory data are provided, demonstrating the capability of the model to capture the soil response under triaxial and multiaxial loading conditions.