| 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.
for LaTeX users @article{SHess1997-239,
author = {S. Hess and M. Kr\"oger and W. G. Hoover},
title = {Shear modulus of fluids and solids},
journal = {Physica A},
volume = {239},
pages = {449-466},
year = {1997}
}
\bibitem{SHess1997-239} S. Hess, M. Kr\"oger, W.G. Hoover,
Shear modulus of fluids and solids,
Physica A {\bf 239} (1997) 449-466.SHess1997-239
S. Hess, M. Kr\"oger, W.G. Hoover
Shear modulus of fluids and solids
Physica A,239,1997,449-466 |
mk@mat.ethz.ch
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