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Analytic model of the shear modulus at all temperatures and densities

2002/08/31 by L. Burakovsky, Leonid Burakovsky, C. W. Greeff +2 · 1 citation
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Argon #Atomic physics #Bulk modulus #Composite material #High-pressure geophysics and materials #Materials science #Microstructure and mechanical properties #Moduli #Modulus #Physics #Shear (geology) #Shear modulus #Thermodynamics #X-ray Diffraction in Crystallography #cond-mat

paper · pdf · doi:10.1103/physrevb.67.094107

published as Phys. Rev. B 67, 094107 (2003) · 20 pages, LaTeX, 9 eps figures; changes in the text

arxiv created 2002/11/07 · openalex publication_date 2003/03/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An analytic model of the shear modulus applicable at temperatures up to melt and at all densities is presented. It is based in part on a relation between the melting temperature and the shear modulus at melt. Experimental data on argon are shown to agree with this relation to within 1%. The model of the shear modulus involves seven parameters, all of which can be determined from zero-pressure experimental data. We obtain the values of these parameters for 11 elemental solids. Both the experimental data on the room-temperature shear modulus of argon to compressions of \ensuremath∼2.5, and theoretical calculations of the zero-temperature shear modulus of aluminum to compressions of \ensuremath∼3.5 are in good agreement with the model. Electronic-structure calculations of the shear moduli of copper and gold to compressions of 2, performed by us, agree with the model to within uncertainties.

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