Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space
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-s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3243 |
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| author | Ambreen Afsar Khan Anum Dilshad Mohammad Rahimi-Gorji Mohammad Mahtab Alam |
| author_facet | Ambreen Afsar Khan Anum Dilshad Mohammad Rahimi-Gorji Mohammad Mahtab Alam |
| author_sort | Ambreen Afsar Khan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T03:38:41Z |
| format | Article |
| id | doaj.art-fff265f67bbf48b8831655d24c7af462 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:38:41Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fff265f67bbf48b8831655d24c7af4622023-11-23T09:26:18ZengMDPI AGMathematics2227-73902021-12-01924324310.3390/math9243243Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-SpaceAmbreen Afsar Khan0Anum Dilshad1Mohammad Rahimi-Gorji2Mohammad Mahtab Alam3Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanFaculty of Medicine and Health Sciences, Ghent University, 9000 Ghent, BelgiumDepartment of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, Abha 62529, Saudi ArabiaConsidering 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.https://www.mdpi.com/2227-7390/9/24/3243SH-wavemonoclinicheterogeneousundulatoryinitial stress |
| spellingShingle | Ambreen Afsar Khan Anum Dilshad Mohammad Rahimi-Gorji Mohammad Mahtab Alam Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space Mathematics SH-wave monoclinic heterogeneous undulatory initial stress |
| title | Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space |
| title_full | Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space |
| title_fullStr | Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space |
| title_full_unstemmed | Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space |
| title_short | Effect of Initial Stress on an SH Wave in a Monoclinic Layer over a Heterogeneous Monoclinic Half-Space |
| title_sort | effect of initial stress on an sh wave in a monoclinic layer over a heterogeneous monoclinic half space |
| topic | SH-wave monoclinic heterogeneous undulatory initial stress |
| url | https://www.mdpi.com/2227-7390/9/24/3243 |
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