Effective wave numbers for thermo-viscoelastic media containing random configurations of spherical scatterers
Mathematical Physics
2012-02-15 v1 Materials Science
math.MP
Abstract
The dispersion relation is derived for the coherent waves in fluid or elastic media supporting viscous and thermal effects and containing randomly distributed spherical scatterers. The formula obtained is the generalization of Lloyd and Berry's [Proc. Phys. Soc. Lond. 91, 678-688, 1067], the latter being limited to fluid host media, and it is the three-dimensional counterpart of that derived by Conoir and Norris [Wave Motion 47, 183-197, 2010] for cylindrical scatterers in an elastic host medium.
Keywords
Cite
@article{arxiv.1110.1121,
title = {Effective wave numbers for thermo-viscoelastic media containing random configurations of spherical scatterers},
author = {Francine Luppé and Jean-Marc Conoir and Andrew N. Norris},
journal= {arXiv preprint arXiv:1110.1121},
year = {2012}
}
Comments
11 pages