THEORETICAL DETERMINATION OF THE TEMPERATURE DEPENDENCE OF ELASTIC PROPERTIES IN CUBIC POLYCRYSTALS

Autor: PERRIN, GÉRARD
Zdroj: Journal of Physics and Chemistry of Solids; June 1997, Vol. 58 Issue: 6 p1019-1025, 7p
Abstrakt: This paper presents theoretical expressions giving the effective elastic moduli of a cubic or isotropic homogeneous solid under hydrostatic stress as functions of strain and temperature. The temperature dependence of these expressions is derived within the fourth-order quasi-harmonic approximation of lattice dynamics. General fourth-order finite strain equations are then deduced for the bulk modulus and shear modulus of a cubic polycrystal which is subjected to a hydrostatic pressure. It is shown that the isotropic polycrystalline parameters entering these equations may be found from the pressure and temperature derivatives of the effective single-crystal elastic moduli by means of the Voigt-Reuss-Hill averaging procedure. Finally, the temperature variations of the effective polycrystalline moduli of aluminium are calculated and compared with available experimental measurements at high temperatures. © 1997 Published by Elsevier Science Ltd
Databáze: Supplemental Index
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