ANALYTICAL AND GEOMETRICAL LOCALIZATION ANALYSIS OF THE ELASTOPLASTIC LEON-DRUCKER-PRAGER MODEL BASED ON GRADIENT THEORY AND FRACTURE ENERGY

GUILLERMO ETSE; SONIA M. VRECH; JAVIER L. MROGINSKI

Barcelona, España

Congreso; X International Conference on Computational Plasticity (COMPLAS X); 2009

International Center for Numerical Methods in Engineering, CIMNE

In this work, the analytical and geometrical analysis of the localization properties of the thermodynamically consistent elastoplastic Leon - Drucker-Prager (LDP) constitutive model for quasi-brittle materials like concrete is developed. This constitutive formulation based on gradient theory and fracture energy, includes a gradient internal length, which is a measure of the solid volume that participates in the degradation process or shear band size, that strongly depends on the hydrostatic stress state. This property allows properly and precisely to predict the brittle-ductile failure transition the quasi-brittle material behavior under increasing confinement levels. The results of the analytical and geometrical localization analysis illustrate the capability of the gradient-dependent elastoplastic LDP material model to reproduce diffuse failure modes for triaxial compression stress state and discontinuous bifurcation that characterizes for uniaxial tensile and compressive stress states.