Effects of inhomogeneity on surface waves in anisotropic media |
| |
Authors: | Pranabes Kanti Pal D Acharya |
| |
Affiliation: | (1) Indrapuri, Ichapur, 743 144, India;(2) Department of Mathematics, Mahadevananda College, 743 101 Barrackpur, India |
| |
Abstract: | This paper investigates the effects of anisotropy and inhomogeneity on surface waves in elastic media. Exponential variation
in properties are assumed for the elastic parameters and material density. The classical equations of motion for propagation
of waves in an inhomogeneous transversely isotropic elastic solid are deduced. The equations of motion for surface waves are
derived and general surface waves are investigated. This general theory is then utilized to investigate Rayleigh, Love and
Stoneley waves. Results obtained in the above cases reduce to the corresponding well-known classical results when inhomogeneity
and anisotropy are not present. It is seen that inhomogeneity has significant effects on dispersion characteristics. Numerical
calculations are included for Love waves and some conclusions have been drawn from the above calculations. |
| |
Keywords: | Exponential inhomogeneity transversely isotropic surface waves Rayleigh waves Love waves Stoneley waves wave velocity equation |
本文献已被 SpringerLink 等数据库收录! |