Surface wave scattering analysis in an initially stressed stratified media
ISSN: 0264-4401
Article publication date: 15 July 2021
Issue publication date: 17 August 2021
Abstract
Design/methodology/approach
The present discussed problem deals with the torsional surface wave scattering in an initially stressed inhomogeneous medium. The assumed model consists of tri-mediums resting over a viscoelastic semi-infinite medium and the considered tri-mediums are transversely isotropic, porous, and heterogeneous respectively under the impression of initial stress.
Design/methodology/approach
Heterogeneities are associated with density and rigidity in the intermediate layer and considered heterogeneities are of the trigonometric form. Displacement components are derived for mediums by applying separable variables.
Findings
Frequency equation is deduced by using suitable boundary conditions, defined at the free surface of the uppermost medium, and on the interfaces between mediums. The derived equation is of the complex form, real and imaginary parts direct the phase/damped velocities respectively. Additional results are considered in particular cases. Numerical examples are adopted for computing frequency equation and drawn consequences are demonstrated graphically to analyze the significant impact of various parameters on the phase velocity as well as on damped velocity of the surface wave sketched against the wavenumber.
Originality/Value
This presented research work provides a different view over the analysis of torsional surface waves than the earlier investigations. Previously studied problems on the wave generation were conducted in different models under the various affecting parameters. Study on torsional wave generation in the present model is not carried out till now. This study may find its virtue in the theoretical aspect as well as in the possible practical implications. The outcomes are relevant to geology and allied areas; moreover, the concern applications may be implicated in geological exploration, civil engineering, and prediction of Earthquake etc.
Keywords
Acknowledgements
The authors convey their sincere thanks to Indian Institute of Technology (Indian School of Mines), Dhanbad India-826004, for providing financial support and facilitating us with its best facility for research.
Citation
Mandi, A., Kundu, S. and Pal, P.C. (2021), "Surface wave scattering analysis in an initially stressed stratified media", Engineering Computations, Vol. 38 No. 8, pp. 3153-3173. https://doi.org/10.1108/EC-03-2020-0133
Publisher
:Emerald Publishing Limited
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