An improved computational constitutive model for brittle materials

TLDR

An improved computational constitutive model for brittle materials is presented. The model defines equivalent strength as a function of intact and fractured strengths, strain rate, pressure, and damage, with pressure incorporating bulking effects via energy transfer from shear stresses to hydrostatic pressure. The model is applicable to brittle materials under large strains, high strain rates, and high pressures, works in both Lagrangian and Eulerian codes, and is illustrated with examples.

Abstract

An improved computational constitutive model for brittle materials is presented. It is applicable for brittle materials subjected to large strains, high strain rates and high pressures, and is well‐suited for computations in both Lagrangian and Eulerian codes. The equivalent strength is dependent on the intact strength, fractured strength, strain rate, pressure, and damage. The pressure includes the effect of bulking, which is introduced through the transfer of internal energy from decreased shear and deviator stresses to potential internal energy associated with increased hydrostatic pressure. Examples are presented to illustrate the model.