R. Kakar, K. Kaur, K.C. Gupta,
Study of Viscoelastic Model for Longitudinal Wave Propagation in a Non-Homogeneous Viscoelastic Filament,
Journal of Modern Mathematics and Statistics,
Volume 7,Issue 3,
2013,
Pages 26-31,
ISSN 1994-5388,
jmmstat.2013.26.31,
(https://makhillpublications.co/view-article.php?doi=jmmstat.2013.26.31)
Abstract: This study is concerned to check the validity of a five parameter
viscoelastic model for longitudinal wave propagating in the non-homogeneous
viscoelastic rods. In this study, it is assumed that density (ρ), rigidity
(G) and viscosity (η) of the specimen, i.e., rod are space dependent and
obey the laws
. The method of non-linear partial differential equation (Eikonal equation)
has been used for finding the dispersion equation of longitudinal waves.
Keywords: Longitudinal waves;variable density;viscoelastic media;Friedlander series;India