Damage-Based Approach for bimodular and anisotropic materials

Abstract

This work intends to present the development of a formulation based on Continuum Damage Mechanics to
deal with elastic media introducing different mechanical behaviors in tension and compression regimes as
well as some anisotropy degree when damage processes take place. First of all, a formulation for bimodular
and anisotropic elastic media is reviewed. To take into account the damage processes in the material, some
improvements are proposed as well as the definition of a hyperplane in order to divide the strain space to
deal with bimodular materials. Besides, fourth-order anisotropic tensors are requested by the formulation
depending on the class of anisotropy. Soon after, two models of constitutive damage written accordingly
with the formulation proposed in this work are described. Finally, it is shown that the proposed formulation
is an easy way to write and to understand complex constitutive damage models.