Abstract:
The elastic constants $c_{11}$, $c_{12}$, $c_{44}$ are estimated for the first time as functions of the oxygen content $y$ in the homogeneity region TiO$_{0.80}$–TiO$_{1.25}$ of disordered cubic TiO$_y$ titanium monoxide. The elastic stiffness constants cij of disordered TiOy increase with a rise in the relative oxygen content $y$. The values of elastic moduli depend on the crystallographic $[hkl]$ direction. Large changes in the elastic characteristics of TiO$_y$ depending on the $[hkl]$ direction indicate a strong anisotropy of the elastic properties of disordered TiO$_y$. Titanium monoxide TiO$_y$ has a much greater anisotropy of elastic properties than the related cubic titanium carbide TiC$_y$. Disordered TiO$_y$ exhibits mechanical stability over the entire homogeneity region. Based on the ratio of the bulk modulus $B$ and shear modulus $G$, polycrystalline TiO$_y$ can be considered as a ductile material. The calculated Debye temperature of polycrystalline cubic TiO$_y$ increases non-linearly with a rise in the relative oxygen content $y$.
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