A Simple, Potential-Free Model to Calculate Elastic Constants of Solids at High Temperature

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dc.contributor.authorSingh, Madan
dc.contributor.authorNarayan, Himanshu
dc.contributor.authorKumar, Munish
dc.date.accessioned2016-12-08T15:49:24Z
dc.date.available2016-12-08T15:49:24Z
dc.date.issued2012
dc.description.abstractA simple method for the determination of temperature dependent second order elastic constants (SOEC) of MgO, CaO, Mg2SiO4 and Grossular garnet[Ca3Al2(SiO4)3] using a potential free model based on thermodynamical relationships, has been proposed. The equations developed here are based on the linear relationship between elastic constants at temperatures higher than the Debye temperature. The extrapolated data for elastic constants at very high temperatures obtained in the present study are useful to understand the thermoelastic properties of given solids. It is found that the calculated values of elastic constants, in general, decrease with temperature. The theoretical predictions incorporating the concept of Debye temperature, reported in this paper, are well supported by the available experimental data. The proposed empirical relationship provides a method to estimate the thermoelastic properties of geophysical minerals and solids at high temperature range.en_ZA
dc.identifier.issn2163-1115 (p)
dc.identifier.issn2163-1123 (e)
dc.identifier.urihttp://dx.doi.org/10.5923/j.ajcmp.20120204.03
dc.identifier.urihttp://repository.tml.nul.ls/handle/20.500.14155/1141
dc.language.isoenen_ZA
dc.publisherScientific & Academic Publishingen_ZA
dc.rightsCopyright © 2012 Scientific & Academic Publishing. All Rights Reserveden_ZA
dc.sourceAmerican Journal of Condensed Matter Physics 2012, 2(4): 88-92en_ZA
dc.subjectElastic Constantsen_ZA
dc.subjectHigh Temperatureen_ZA
dc.subjectThermodynamical Relationshipsen_ZA
dc.titleA Simple, Potential-Free Model to Calculate Elastic Constants of Solids at High Temperatureen_ZA
dc.typeArticleen_ZA
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