Shear modulus of fluids and solids

Siegfried Hess, Martin Kröger and William G. Hoover

Physica A: Statistical Mechanics and its Applications, 1997, vol. 239, issue 4, 449-466

Abstract: The shear modulus tensor, whose components are Voigt elastic moduli, is expressed as an N-particle average. The Born-Green and the fluctuation contributions are identified and, where possible, also expressed in terms of integrals over the pair-correlation function. Symmetry considerations are invoked for systems of spherical particles in both isotropic and cubic states. Results from molecular dynamics simulations are presented for particles with a purely repulsive Lennard-Jones interaction. Shear and bulk moduli are displayed graphically as functions of the density for fluid and cubic crystalline states. The shear modulus proves to be a good indicator for the fluid-solid phase transition.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:239:y:1997:i:4:p:449-466

DOI: 10.1016/S0378-4371(97)00045-9

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