Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space

Ambreen Afsar Khan, Anum Dilshad, Mohammad Rahimi-Gorji and Mohammad Mahtab Alam
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Ambreen Afsar Khan: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Anum Dilshad: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Mohammad Rahimi-Gorji: Faculty of Medicine and Health Sciences, Ghent University, 9000 Ghent, Belgium
Mohammad Mahtab Alam: Department of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, Abha 62529, Saudi Arabia

Mathematics, 2021, vol. 9, issue 24, 1-16

Abstract: Considering the propagation of an SH wave at a corrugated interface between a monoclinic layer and heterogeneous half-space in the presence of initial stress. The inhomogeneity in the half-space is the causation of an exponential function of depth. Whittaker’s function is employed to find the half-space solution. The dispersion relation has been established in closed form. The special cases are discussed, and the classical Love wave equation is one of the special cases. The influence of nonhomogeneity parameter, coupling parameter, and depth of irregularity on the phase velocity was studied.

Keywords: SH-wave; monoclinic; heterogeneous; undulatory; initial stress (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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