Temperature dependence of elastic constants and volume expansion for cubic and non-cubic minerals

摘要

Recent studies on the temperature dependence of elastic constants for geophysical minerals have been critically examined. It has been found that an intimate relationship exists between the temperature dependence of elastic constants and volume expansion for MgO, CaO, Al2O3 and Mg2SiO4 for a wide range of temperatures. Such a relationship can be represented by a power law as revealed by Murnaghan's approximation. Values of elastic constants and bulk moduli have been predicted at higher temperatures using the volume expansion estimated from the Shanker equation for the thermal pressure. (C) 2004 Elsevier B.V. All rights reserved.