An anisotropic model of damage for brittle materials with different behavior in tension and compression

The article outlines a continuum damage mechanics model for elastic deformation associated with the appearance and growth of parallel penny-shaped microcracks in brittle materials. The model is able to describe simultaneously the anisotropic nature of damage and the difference between the damaging processes under tensile and compressive loading types. Constitutive equation and damage evolution equations are developed on the basis of irreversible thermodynamic theory. Model parameters are determined from basic experiments formulated. The theoretical results are compared with the experimental data for two-dimensional stress states of gray cast iron.