Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model
Irregularity may occur on the earth’s surface in the form of mountains due to the imperfection of the earth’s crust. To explore the influence of horizontally polarized shear waves on mountains, we considered the fluid-saturated porous medium (superficial layer) over an orthotropic semi-infinite medi...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9929108 |
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| author | Uma Bharti Pramod Kumar Vaishnav S.M. Abo-Dahab Jamel Bouslimi K.H. Mahmoud |
| author_facet | Uma Bharti Pramod Kumar Vaishnav S.M. Abo-Dahab Jamel Bouslimi K.H. Mahmoud |
| author_sort | Uma Bharti |
| collection | DOAJ |
| description | Irregularity may occur on the earth’s surface in the form of mountains due to the imperfection of the earth’s crust. To explore the influence of horizontally polarized shear waves on mountains, we considered the fluid-saturated porous medium (superficial layer) over an orthotropic semi-infinite medium with rigid (Model-I) and soft (Model-II) mountain surfaces for wave propagation. The mountain surface is defined mathematically as a periodic function of the time domain. The physical interpretation of materials’ structure has been explained in rectangular Cartesian coordinate system originated at the contact interface of layer and half-space. The displacement of the mountains has been derived by solving energy equations analytically. The influence of rigid and soft mountain surfaces on the phase velocity of shear waves has been demonstrated graphically (we used MATLAB software for graphical representations). |
| format | Article |
| id | doaj-art-dc730842e466493d8d107f758a067ad5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-dc730842e466493d8d107f758a067ad52025-02-03T06:06:30ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99291089929108Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law ModelUma Bharti0Pramod Kumar Vaishnav1S.M. Abo-Dahab2Jamel Bouslimi3K.H. Mahmoud4School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147001, IndiaSchool of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147001, IndiaDepartment of Mathematics, Faculty of Science, South Valley University, Qena-83523, EgyptDepartment of Physics, College of Science, Taif University, Taif, Saudi ArabiaDepartment of Physics, College of Khurma University College, Taif University, Taif, Saudi ArabiaIrregularity may occur on the earth’s surface in the form of mountains due to the imperfection of the earth’s crust. To explore the influence of horizontally polarized shear waves on mountains, we considered the fluid-saturated porous medium (superficial layer) over an orthotropic semi-infinite medium with rigid (Model-I) and soft (Model-II) mountain surfaces for wave propagation. The mountain surface is defined mathematically as a periodic function of the time domain. The physical interpretation of materials’ structure has been explained in rectangular Cartesian coordinate system originated at the contact interface of layer and half-space. The displacement of the mountains has been derived by solving energy equations analytically. The influence of rigid and soft mountain surfaces on the phase velocity of shear waves has been demonstrated graphically (we used MATLAB software for graphical representations).http://dx.doi.org/10.1155/2021/9929108 |
| spellingShingle | Uma Bharti Pramod Kumar Vaishnav S.M. Abo-Dahab Jamel Bouslimi K.H. Mahmoud Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model Complexity |
| title | Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model |
| title_full | Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model |
| title_fullStr | Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model |
| title_full_unstemmed | Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model |
| title_short | Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model |
| title_sort | analysis of phase velocity of love waves in rigid and soft mountain surfaces exponential law model |
| url | http://dx.doi.org/10.1155/2021/9929108 |
| work_keys_str_mv | AT umabharti analysisofphasevelocityoflovewavesinrigidandsoftmountainsurfacesexponentiallawmodel AT pramodkumarvaishnav analysisofphasevelocityoflovewavesinrigidandsoftmountainsurfacesexponentiallawmodel AT smabodahab analysisofphasevelocityoflovewavesinrigidandsoftmountainsurfacesexponentiallawmodel AT jamelbouslimi analysisofphasevelocityoflovewavesinrigidandsoftmountainsurfacesexponentiallawmodel AT khmahmoud analysisofphasevelocityoflovewavesinrigidandsoftmountainsurfacesexponentiallawmodel |