On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times
Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and fl...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04308041 |
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| author | K. L. Verma Norio Hasebe |
| author_facet | K. L. Verma Norio Hasebe |
| author_sort | K. L. Verma |
| collection | DOAJ |
| description | Analysis for the propagation of plane harmonic thermoelastic
waves in an infinite homogeneous orthotropic plate of finite
thickness in the generalized theory of thermoelasticity with two
thermal relaxation times is studied. The frequency
equations corresponding to the extensional (symmetric) and
flexural (antisymmetric) thermoelastic modes of vibration are
obtained and discussed. Special cases of the frequency equations
are also discussed. Numerical solution of the frequency
equations for orthotropic plate is carried out, and the
dispersion curves for the first six modes are presented for a
representative orthotropic plate. The three motions, namely,
longitudinal, transverse, and thermal, of the medium are found
dispersive and coupled with each other due to the thermal and
anisotropic effects. The phase velocity of the waves gets
modified due to the thermal and anisotropic effects and is also
influenced by the thermal relaxation time. Relevant results of
previous investigations are deduced as special cases. |
| format | Article |
| id | doaj-art-fd3fb328c0e14e0da55bc916e41d6f72 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fd3fb328c0e14e0da55bc916e41d6f722025-02-03T05:59:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-0120041698310.1155/S1110757X04308041On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation timesK. L. Verma0Norio Hasebe1Department of Mathematics, Government Post Graduate College, Pradesh 177005, Hamirpur, IndiaDepartment of Civil Engineering, Nagoya Institute of Technology, Gokio-Cho, Showa-Ku, Nagoya 466, JapanAnalysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. Special cases of the frequency equations are also discussed. Numerical solution of the frequency equations for orthotropic plate is carried out, and the dispersion curves for the first six modes are presented for a representative orthotropic plate. The three motions, namely, longitudinal, transverse, and thermal, of the medium are found dispersive and coupled with each other due to the thermal and anisotropic effects. The phase velocity of the waves gets modified due to the thermal and anisotropic effects and is also influenced by the thermal relaxation time. Relevant results of previous investigations are deduced as special cases.http://dx.doi.org/10.1155/S1110757X04308041 |
| spellingShingle | K. L. Verma Norio Hasebe On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times Journal of Applied Mathematics |
| title | On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| title_full | On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| title_fullStr | On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| title_full_unstemmed | On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| title_short | On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| title_sort | on the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times |
| url | http://dx.doi.org/10.1155/S1110757X04308041 |
| work_keys_str_mv | AT klverma ontheflexuralandextensionalthermoelasticwavesinorthotropicplateswithtwothermalrelaxationtimes AT noriohasebe ontheflexuralandextensionalthermoelasticwavesinorthotropicplateswithtwothermalrelaxationtimes |