Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
The effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, bu...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3883 |
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| author | Sushil Kumar Addy Nil Ratan Chakraborty |
| author_facet | Sushil Kumar Addy Nil Ratan Chakraborty |
| author_sort | Sushil Kumar Addy |
| collection | DOAJ |
| description | The effect of the temperature and initial hydrostatic stress has been shown
on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained
how the velocity of Rayleigh waves depends not only on the parameters pertaining to the
viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic
stress of the half-space also. The variations of the phase velocity of Rayleigh waves in
dimensionless form with respect to the magnitude of the initial hydrostatic stress under
certain practical assumptions have been depicted in graphs after numerical computations.
If the temperature and the initial hydrostatic stress of the half-space are neglected, the
results obtained are in perfect agreement with the classical case as obtained by Caloi for
the propagation of Rayleigh waves in a viscoelastic medium. |
| format | Article |
| id | doaj-art-f1b7ec0e476f4ce8a2b3548774c8112c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f1b7ec0e476f4ce8a2b3548774c8112c2025-02-03T05:44:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243883389410.1155/IJMMS.2005.3883Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature fieldSushil Kumar Addy0Nil Ratan Chakraborty1Department of Mathematics, Jamshedpur Co-operative College, Jamshedpur Ranchi University, Jharkhand 831001, IndiaDepartment of Mathematics, Jamshedpur Co-operative College, Jamshedpur Ranchi University, Jharkhand 831001, IndiaThe effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic stress of the half-space also. The variations of the phase velocity of Rayleigh waves in dimensionless form with respect to the magnitude of the initial hydrostatic stress under certain practical assumptions have been depicted in graphs after numerical computations. If the temperature and the initial hydrostatic stress of the half-space are neglected, the results obtained are in perfect agreement with the classical case as obtained by Caloi for the propagation of Rayleigh waves in a viscoelastic medium.http://dx.doi.org/10.1155/IJMMS.2005.3883 |
| spellingShingle | Sushil Kumar Addy Nil Ratan Chakraborty Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field International Journal of Mathematics and Mathematical Sciences |
| title | Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field |
| title_full | Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field |
| title_fullStr | Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field |
| title_full_unstemmed | Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field |
| title_short | Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field |
| title_sort | rayleigh waves in a viscoelastic half space under initial hydrostatic stress in presence of the temperature field |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3883 |
| work_keys_str_mv | AT sushilkumaraddy rayleighwavesinaviscoelastichalfspaceunderinitialhydrostaticstressinpresenceofthetemperaturefield AT nilratanchakraborty rayleighwavesinaviscoelastichalfspaceunderinitialhydrostaticstressinpresenceofthetemperaturefield |