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Effect of inhomogeneity, initial stress, sandiness, and viscosity on the propagation of torsional wave

Effect of inhomogeneity, initial stress, sandiness, and viscosity on the propagation of torsional... This model is established to analyse the analytical assessment and mathematical modelling to unveil the characteristics of torsional wave in an inhomogeneous sandy layer rested upon a viscoelastic half-space. It has been considered that the assumed model is under compressive initial stress. To acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The main objective of this study is to analyse the impact of different affecting parameters such as inhomogeneity, sandiness, compressive initial stress, tensile initial stress and viscosity on the propagation of torsional wave. In a particular case, it has been shown that dispersion equation is in well agreement with the standard result which validates the undertaken study. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Boletín de la Sociedad Matemática Mexicana Springer Journals

Effect of inhomogeneity, initial stress, sandiness, and viscosity on the propagation of torsional wave

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References (35)

Publisher
Springer Journals
Copyright
Copyright © Sociedad Matemática Mexicana 2021
ISSN
1405-213X
eISSN
2296-4495
DOI
10.1007/s40590-021-00395-3
Publisher site
See Article on Publisher Site

Abstract

This model is established to analyse the analytical assessment and mathematical modelling to unveil the characteristics of torsional wave in an inhomogeneous sandy layer rested upon a viscoelastic half-space. It has been considered that the assumed model is under compressive initial stress. To acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The main objective of this study is to analyse the impact of different affecting parameters such as inhomogeneity, sandiness, compressive initial stress, tensile initial stress and viscosity on the propagation of torsional wave. In a particular case, it has been shown that dispersion equation is in well agreement with the standard result which validates the undertaken study.

Journal

Boletín de la Sociedad Matemática MexicanaSpringer Journals

Published: Mar 1, 2022

Keywords: Torsional wave; Sandiness; Viscoelastic; Initial stress; Inhomogeneity; Phase velocity; 74J15; 74L10; 74Dxx; 74E05

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