Effect of corrugation on the dispersion of Love-type wave in a layer with monoclinic symmetry, overlying an initially stressed transversely isotropic half-space
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 14 August 2017
Abstract
Purpose
The purpose of this paper is to investigate the effect of corrugation, wave number, initial stress and the heterogeneity of the media on the phase velocity of the Love-type wave. Moreover, the paper aims to have a comparative study of the presence and absence of anisotropy, heterogeneity, corrugation and initial stress in the half-space, which serve as a focal theme of the study.
Design/methodology/approach
The present paper modelled the propagation of the Love-type wave in a corrugated heterogeneous monoclinic layer lying over an initially stressed heterogeneous transversely isotropic half-space. The method of separation of variables is used to procure the dispersion relation.
Findings
The closed form of dispersion relation is obtained and found to be in well agreement to the classical Love wave equation. Neglecting the corrugation at either of the boundary surfaces, expressions of the phase velocity of the Love-type wave are deduced in closed form as special cases of the problem. It is established through the numerical computation of the obtained relation that the concerned affecting parameters have significant impact on the phase velocity of the Love-type wave. Also, a comparative study shows that the anisotropic case favours more to the phase velocity as comparison to the isotropic case.
Originality/value
Although many attempts have been made to study the effect of corrugated boundaries on reflection and refraction of seismic waves, but the effect of corrugated boundaries on the dispersion of surface wave (which are dispersive in nature) propagating through mediums pertaining various incredible features still needs to be investigated.
Keywords
Acknowledgements
The authors convey their sincere thanks to National Board of Higher Mathematics (NBHM) for their financial support to carry out this research work through Project entitled “Mathematical modeling of elastic wave propagation in highly anisotropic and heterogeneous media”.
Citation
Singh, A.K., Das, A., Mistri, K.C., Nimishe, S. and Koley, S. (2017), "Effect of corrugation on the dispersion of Love-type wave in a layer with monoclinic symmetry, overlying an initially stressed transversely isotropic half-space", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 2, pp. 308-325. https://doi.org/10.1108/MMMS-10-2016-0053
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited