Theoretical Prediction of Thermal Pressure for Geophysical Minerals
Anjani K. Pandey and Harendra K. RaiAffiliation:
Deptt. of Applied Science, Ansal Technical Campus, Lucknow, India.
AbstractThermo elastic properties of materials at high temperature are directly related to the thermal pressure and volume of expansion of the materials. In the present work we have made a comparative study of temperature dependence of thermal pressure for geophysical minerals viz. MgO, Al2O3, Grossular Garnet, Olivine and Pyrope rich Garnet by using Suzuki formulation and Maxwell’s formulation. It is observed that ΔPTh calculated by using Suzuki formulation is in good agreement with the experimental values up to 800K, but after this limit there is a deviation from experimental values, whereas, in case of Maxwell’s formulation the agreement is valid only upto T=300K. This departure in the agreement has been interpreted using Hardy’s Theory.
Anderson-gruneisen parameter, harmonic effect, equation of state (EOS), debye temperature, eulerian strain, finite strain theory, geophysical minerals, gruneisen relation, hardy’s theory, isothermal bulk modulus, lattice potential energy, pressure derivative of isothermal bulk modulus, thermal pressure, thermo elastic properties, volume expansion. PACS: 64.10.+h; 64.30.-t; 62.20.D-; 62.50.-p.
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