Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity
The generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermo-visco-elastic plane waves of assigned frequency in an infinite visco-elastic solid of Kelvin-Voigt type, when the entire medium rotates with a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001356 |
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| Summary: | The generalized dynamical theory of thermo-elasticity proposed by
Green and Lindsay is applied to study the propagation of
harmonically time-dependent thermo-visco-elastic plane waves of
assigned frequency in an infinite visco-elastic solid of
Kelvin-Voigt type, when the entire medium rotates with a uniform
angular velocity. A more general dispersion equation is deduced to
determine the effects of rotation, visco-elasticity, and
relaxation time on the phase-velocity of the coupled waves. The
solutions for the phase velocity and attenuation coefficient are
obtained for small thermo-elastic couplings by the perturbation
technique. Taking an appropriate material, the numerical values of
the phase velocity of the waves are computed and the results are
shown graphically to illustrate the problem. |
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| ISSN: | 0161-1712 1687-0425 |