Mechanical properties of nonstoichiometric cubic titanium carbide TiC

The changes of elastic constants c ij in the homogeneity interval from TiC 0.50 to TiC 1.00 of nonstoichiometric disordered cubic titanium carbide are evaluated by a semiempirical method for the first time. It is established that the elastic stiffness constants c ij of a disordered TiC y decrease as the titanium carbide composition deviates from stoichiometry. The distributions of the Young's modulus E , the Poisson's ratio μ , shear G and bulk B moduli of monocrystalline particles of cubic TiC y on the crystallographic direction [ hkl ] and on relative carbon content y are calculated. The lowest values of G hkl for TiC y are observed in the (111) plane. It is found that the deviation of titanium carbide from stoichiometric composition TiC 1.0 is accompanied by increase of the elastic anisotropy. It is shown that the calculated Vickers hardness H V of titanium carbide on the relative carbon content y increases non-linearly with growing y . The elastic properties of nonstoichiometric disordered cubic titanium carbide are considered taking into account the carbon content y in TiC y .