Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity
The linear theory of thermoelasticity without energy dissipation is employed to study waves emanating from the boundary of a spherical cavity in a homogeneous and isotropic unbounded thermoelastic body. The waves are supposed to be spherically symmetric and caused by a constant step in temperature a...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001514 |
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| author | D. S. Chandrasekharaiah K. S. Srinath |
| author_facet | D. S. Chandrasekharaiah K. S. Srinath |
| author_sort | D. S. Chandrasekharaiah |
| collection | DOAJ |
| description | The linear theory of thermoelasticity without energy dissipation
is employed to study waves emanating from the boundary of a
spherical cavity in a homogeneous and isotropic unbounded
thermoelastic body. The waves are supposed to be spherically
symmetric and caused by a constant step in temperature applied to
the stress-free boundary of the cavity. Small-time solutions for
the displacement, temperature, and stress fields are obtained by
using the Laplace transform technique. It is found that there
exist two coupled waves, of which one is predominantly elastic and
the other is predominantly thermal, both propagating with finite
speeds but with no exponential attenuation. Exact expressions for
discontinuities in the field functions that occur at the
wavefronts are computed and analysed. The results are compared
with those obtained earlier in the contexts of some other models
of thermoelasticity. |
| format | Article |
| id | doaj-art-080bfb2c412a4c67a26f0dfea860bdfe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-080bfb2c412a4c67a26f0dfea860bdfe2025-02-03T01:22:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123855556210.1155/S0161171200001514Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavityD. S. Chandrasekharaiah0K. S. Srinath1Department of Mathematics, Bangalore University, Central College Campus, Bangalore 560 001, IndiaDepartment of Mathematics, Islamia Institute of Technology, National Park Road, Bangalore 560 076, IndiaThe linear theory of thermoelasticity without energy dissipation is employed to study waves emanating from the boundary of a spherical cavity in a homogeneous and isotropic unbounded thermoelastic body. The waves are supposed to be spherically symmetric and caused by a constant step in temperature applied to the stress-free boundary of the cavity. Small-time solutions for the displacement, temperature, and stress fields are obtained by using the Laplace transform technique. It is found that there exist two coupled waves, of which one is predominantly elastic and the other is predominantly thermal, both propagating with finite speeds but with no exponential attenuation. Exact expressions for discontinuities in the field functions that occur at the wavefronts are computed and analysed. The results are compared with those obtained earlier in the contexts of some other models of thermoelasticity.http://dx.doi.org/10.1155/S0161171200001514Thermoelasticity without energy dissipation generalized thermo-elasticitythermo-elastic sphericalwaves. |
| spellingShingle | D. S. Chandrasekharaiah K. S. Srinath Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity International Journal of Mathematics and Mathematical Sciences Thermoelasticity without energy dissipation generalized thermo-elasticity thermo-elastic sphericalwaves. |
| title | Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| title_full | Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| title_fullStr | Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| title_full_unstemmed | Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| title_short | Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| title_sort | thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity |
| topic | Thermoelasticity without energy dissipation generalized thermo-elasticity thermo-elastic sphericalwaves. |
| url | http://dx.doi.org/10.1155/S0161171200001514 |
| work_keys_str_mv | AT dschandrasekharaiah thermoelasticwaveswithoutenergydissipationinanunboundedbodywithasphericalcavity AT kssrinath thermoelasticwaveswithoutenergydissipationinanunboundedbodywithasphericalcavity |