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Abstrakty
The generalized dynamical theories of thermoelasticity with and without energy dissipation are applied to study the propagation of thermoelastic waves in an infinite, homogenous, isotropic medium rotating uniformly with constant angular velocity. A generalized characteristic equation is derived to investigate the effects of rotation, the relaxation time constants and thermomechanical coupling on the dispersion behavior of thermoelastic waves. Results of earlier works are deduced as particular cases of the more general results obtained here.
Rocznik
Tom
Strony
1329--1348
Opis fizyczny
Bibliogr. 23 poz. , tab., wykr.
Twórcy
autor
- Department of Mathematics Government Post Graduate College Hamirpur, (H.P.) 177005, INDIA
autor
- Department of Civil Engineering Nagoya Institute of Technology Gokio-Cho, Showa-Ku, Nagoya 466, JAPAN
Bibliografia
- [1] Chandrasekharaiah D.S. (1986): Thermo elasticity with second sound - a review. - Appl. Mech. Rev., vol.39, No.15, pp.355-376.
- [2] Chandrasekharaiah D.S. (1996a): A uniqueness theorem in the theory of thermoelasticity without dissipation. - J. Thermal Stresses, vol.19, No.3, pp.267-272.
- [3] Chandrasekharaiah D.S. (1996b): One dimensional wave propagation in the linear theory of thermoelasticity without energy dissipation. - J. Thermal Stresses, vol.19, No.7, pp.695-710.
- [4] Chandrasekharaiah D.S. (1997): Complete solutions in the theory of thermoelasticity without energy dissipation. - Mechanics Research Communications, vol.24, No.6, pp.625-630.
- [5] Chandrasekharaiah D.S. and Debnath L. (1994): Continuum Mechanic. - Academic Press: San Diego.
- [6] Chandrasekharaiah D.S. and Srikantiah L. (1984): Thermoelastic plane waves in a rotating solid. - Acta Mech., vol.50, pp. 211-219.
- [7] Chaduhuri R. (1984): Electro-magneto-thermoelastic plane waves in rotating media with thermal relaxation. - Int. J. Engng. Sci., vol.22, pp.519-530.
- [8] Chaduhuri R.S.K. and Debnath L. (1983): Magneto-thermoelastic plane waves in rotating media. - Int. J. Engng. Sci., vol.21, pp. 155-163.
- [9] Green A.E. (1972): A note on linear thermoelasticity. - Mathematika, vol.19, pp.69-75.
- [10] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
- [11] Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermomechanics. - Proc. Roy-Soc. London Ser. A, vol.432, pp.171-194.
- [12] Green A.E. and Naghdi P.M. (1992): An undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.15, No.3, pp.253-264.
- [13] Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp. 189-208.
- [14] Hetnarski R.B. and Ignaczak J. (1994): Generalized thermoelasticity: Response of semispace to a short laser pulse. - J. Thermal Stresses, vol.17, No.3, pp.377-396.
- [15] Ignaczak J. (1989): Generalized thermoelasticity and its applications, In: Thermal Stresses III, Chapter-4 (R.B. Hetnarski, Ed.). - Amsterdam: Elsevier Science Publishers B.V., pp.280-354.
- [16] Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
- [17] Mukhopadhyay B. and Bera B.K. (1992): Effect of thermal relaxation on electro- magneto-thermo-viscoelastic plane waves in rotating media. - Int. J. Engng. Sci., vol.30, pp.359-369.
- [18] Oncu T.S. and Moodie T.B. (1991): Pade-extended Ray series expansions in generalized thermoelasticity. - J. Thermal Stress, vol.14, No.l, pp.85-99.
- [19] Schoenberg M. and Censor D. (1973): Elastic waves in rotating media. - Quart. Appl. Math., vol.31,pp. 115-125.
- [20] Suh C.S. and Burger C.P. (1998): Effects of thermomechanical coupling and relaxation times on wave spectrum in dynamic theory of generalized thermoelasticity. - J. Appl. Mech., vol.65, pp.605-612.
- [21] Verma K.L. and Hasebe N. (1999): On the propagation of generalized thermoelastic vibrations in plates. - Quarterly Journal of Polish Academy of Sciences, Engineering Transactions, vol.47, No.3-4, pp.299-319.
- [22] Verma K.L. and Hasebe N. (2001): Dispersion of thermoelastic waves in a plate with and without energy dissipation. - International J. of Thermophysics, vol.22, No.3, pp.957-978.
- [23] Verma K.L. (2001): Thermoelastic vibrations of transversely isotropic plate with thermal relaxations. - International J. of Solids and Structures, vol.38, No.46-47, pp.8529-8546.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0001-0071