High-Temperature Elastic Properties of Polycrystalline MgO and Al2O3

Abstract

Adiabatic bulk modulus, B_s, of polycrystalline MgO and Al₂O₃ was measured from 298° to 1473°K using the resonance technique. The Grüneisen constant, calculated from the measured bulk modulus, was constant over the whole temperature range (1.53 for MgO and 1.34 for Al₂O₃). Another important parameter, , is constant at high temperature and is 3.1 for MgO and 3.6 for Al₂O₃. The Poisson's ratio increases linearly with temperature for MgO and Al₂O₃. To describe the change of bulk modulus with temperature a theoretical equation was verified by using the foregoing constants. A practical form of this theoretical equation is where B_s⁰ is the adiabatic bulk modulus at 0°K, δ is the quantity , γ is the Grüneisen constant, H is the enthalpy. The experimental data are described very well by this equation, which is equivalent to the empirical equation suggested by Wachtman et al., B_s^T= B_s⁰ - CT exp (-T_c/T), where C and T_c are empirical constants.