Rheological model of Love wave propagation in viscoelastic layered media under gravity
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 12 October 2015
Abstract
Purpose
The purpose of this paper is to deal with the propagation of Love waves in inhomogeneous viscoelastic layer overlying a gravitational half-space. It has been observed velocity of Love waves depends on viscosity, gravity, inhomogeneity and initial stress of the layer.
Design/methodology/approach
The dispersion relation for the Love wave in closed form is obtained with Whitaker’s function.
Findings
The effect of various non-dimensional inhomogeneity factors, gravity factor and internal friction on the non-dimensional Love wave velocity has been shown graphically. The authors observed that the dispersion curve of Love wave increases as the inhomogeneity factor increases. It is seen that increment in gravity, inhomogeneity and internal friction decreases the damping phase velocity of Love waves but it is more prominent in case of internal friction.
Originality/value
Surface plot of Love wave reveals that the velocity ratio increases with the increase of non-dimensional phase velocity and non-dimensional wave number. The above results may attract seismologists and geologists.
Keywords
Acknowledgements
The author thanks the GNA University, for providing the use of facilities for research. The author also expresses his sincere thanks to the honorable reviewers for their useful suggestions and valuable comments.
Citation
Kakar, R. (2015), "Rheological model of Love wave propagation in viscoelastic layered media under gravity", Multidiscipline Modeling in Materials and Structures, Vol. 11 No. 3, pp. 424-436. https://doi.org/10.1108/MMMS-01-2015-0003
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited