Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space
A problem on Rayleigh wave in a rotating half-space of an orthotropic micropolar material is considered. The governing equations are solved for surface wave solutions in the half space of the material. These solutions satisfy the boundary conditions at free surface of the half-space to obtain the fr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | International Journal of Geophysics |
| Online Access: | http://dx.doi.org/10.1155/2013/690249 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552822130868224 |
|---|---|
| author | Baljeet Singh Ritu Sindhu Jagdish Singh |
| author_facet | Baljeet Singh Ritu Sindhu Jagdish Singh |
| author_sort | Baljeet Singh |
| collection | DOAJ |
| description | A problem on Rayleigh wave in a rotating half-space of an orthotropic micropolar material is considered. The governing equations are solved for surface wave solutions in the half space of the material. These solutions satisfy the boundary conditions at free surface of the half-space to obtain the frequency equation of the Rayleigh wave. For numerical purpose, the frequency equation is approximated. The nondimensional speed of Rayleigh wave is computed and shown graphically versus nondimensional frequency and rotation-frequency ratio for both orthotropic micropolar elastic and isotropic micropolar elastic cases. The numerical results show the effects of rotation, orthotropy, and nondimensional frequency on the nondimensional speed of the Rayleigh wave. |
| format | Article |
| id | doaj-art-02bba1168f414619a82c71b7fa027e1b |
| institution | Kabale University |
| issn | 1687-885X 1687-8868 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Geophysics |
| spelling | doaj-art-02bba1168f414619a82c71b7fa027e1b2025-02-03T05:57:39ZengWileyInternational Journal of Geophysics1687-885X1687-88682013-01-01201310.1155/2013/690249690249Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-SpaceBaljeet Singh0Ritu Sindhu1Jagdish Singh2Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh 160 011, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak, 124 001 Haryana, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak, 124 001 Haryana, IndiaA problem on Rayleigh wave in a rotating half-space of an orthotropic micropolar material is considered. The governing equations are solved for surface wave solutions in the half space of the material. These solutions satisfy the boundary conditions at free surface of the half-space to obtain the frequency equation of the Rayleigh wave. For numerical purpose, the frequency equation is approximated. The nondimensional speed of Rayleigh wave is computed and shown graphically versus nondimensional frequency and rotation-frequency ratio for both orthotropic micropolar elastic and isotropic micropolar elastic cases. The numerical results show the effects of rotation, orthotropy, and nondimensional frequency on the nondimensional speed of the Rayleigh wave.http://dx.doi.org/10.1155/2013/690249 |
| spellingShingle | Baljeet Singh Ritu Sindhu Jagdish Singh Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space International Journal of Geophysics |
| title | Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space |
| title_full | Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space |
| title_fullStr | Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space |
| title_full_unstemmed | Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space |
| title_short | Rayleigh Waves in a Rotating Orthotropic Micropolar Elastic Solid Half-Space |
| title_sort | rayleigh waves in a rotating orthotropic micropolar elastic solid half space |
| url | http://dx.doi.org/10.1155/2013/690249 |
| work_keys_str_mv | AT baljeetsingh rayleighwavesinarotatingorthotropicmicropolarelasticsolidhalfspace AT ritusindhu rayleighwavesinarotatingorthotropicmicropolarelasticsolidhalfspace AT jagdishsingh rayleighwavesinarotatingorthotropicmicropolarelasticsolidhalfspace |