Температурні залежності модуля Юнга металів з різними кристалічними гратками у широком діапазоні температур

Abstract

The known temperature dependences of the modulus of normal elasticity E, mainly of metals with different types of crystal lattices, were analyzed. The dependences of E/E0 on T/Tm and on T/Tpt are considered, where E0 is the modulus of elasticity extrapolated to 0 K, and Tm and Tpt are the melting and phase transition temperatures of the material, respectively. The difference in shape and slope of temperature dependences E/E0 of materials with bcc and fcc crystal lattices from materials with hcp crystal lattice is shown. If for the first two types of lattices, the dependences can be described by a second degree polynomial with coefficients close to 0,21 and 0,3, then the temperature dependences of the modulus of elasticity of titanium, zirconium, and its alloys are mostly linear and are significantly lower than the first ones due to the anisotropy of temperature changes of the lattice parameters a and c. The dependence of E/E0 on the c/a ratio is plotted for a number of hcp metals for two levels of T/Tpt, and the area of the best c/a values for creating materials with increased thermal elasticity is shown. The relationship between the dependences of E/E0 on E/E0 and the ratio of diffusion coefficients on E/E0 and examples of their use for the analysis of deformation mechanisms at high temperatures are shown. Keywords: temperature dependence of the modulus of elasticity, crystal lattic parameters.