An Image Point Identification Rule for 3D Bounding Surface Plasticity Models

Identification of the correct locations of the current stress and stress reversal points in the 3D stress space is crucial for the successful application of a 3D bounding surface model under complex multiaxial loading conditions. Any miscalculation of the locations of these points can markedly alter the location of the image point on the bounding surface, and consequently affect the model predictions. The main objective of this paper is to present a generalised mapping rule for the identification of image point in 3D bounding surface plasticity models. The mapping rule is based on determination of the exact locations of the stress points in the principal stress space using the eigenvectors of the stress tensors. The mapping rule is implemented in a 3D bounding surface plasticity model to capture the behaviour of soils under multiaxial loading conditions. The simulation results are presented and compared with existing experimental data to validate the proposed model.