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The propagation of waves in a homogeneous isotropic micropolar thermoelastic plate subjected to stress free and rigidly fixed boundary conditions is investigated. The theory of micropolar thermoelasticity without energy dissipation has been taken to study the problem The secular equations for homogeneous isotropic micropolar thermoelastic plate without energy dissipation in closed form for symmetric and skew symmetric wave modes of propagation are derived. The different regions of secular equations are obtained. At short wavelength limits, the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation. The results for thermoelastic, micropolar elastic and elastic materials are obtained as particular cases from the derived secular equations. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew symmetric motion of the plate. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and temperature distribution in the case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement.
Rocznik
Tom
Strony
655--675
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
- Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA, rajneesh_kuk@rediffmail.com
Bibliografia
- Boschi E. and Iesan D. (1973): A generalized theory of linear micropolar thermoelasticity. - Meccanica, vol.7, pp.154-157.
- Chandrasekharaiah D.S. (1986): Heat flux dependent micropolar thermoelasticity. - Int. J. Eng. Sci., vol.24, pp.1389-1395.
- Chandrasekharaiah D.S. and Srinath K.S. (1997): Axisymmetric thermoelastic interaction without energy dissipation in an unbounded body with cylindrical cavity. - J. Elasticity, vol.46, pp.19-31.
- Chandrasekharaiah D.S. and Srinath K.S. (2000): Thermoelastic waves without energy dissipation in an unbounded body with spherical cavity. - Int. J. Math and Math Sci., vol.23, pp.555-562.
- Ciarletta M. (1999): A theory of micropolar thermoelasticity without energy dissipation. - J. Thermal Stresses, vol.22, pp.581-594.
- Dost S. and Tabarrok B. (1978): Generalized micropolar thermoelasticity. - Int. J. Eng. Sci., vol.16, pp.173-178.
- Eringen A.C.(1966): Linear theory of micropolar elasticity. - J. of Mathematics and Mechanics, vol.15, pp.909-923.
- Eringen A.C. (1970): Foundations of micropolar thermoelasticity. - International Centre for Mechanical Science, Course and Lectures, No.23, Springer, Berlin.
- Eringen A.C. (1999): Microcontinuum Field Theories I: Foundations and Solids. - Berlin: Springer-Verlag.
- Graff K.F. (1991): Wave motion in elastic solids. - New York: Dover Publications Inc..
- Green A.E. and Naghdi P.M. (1971): On thermodynamic and the nature of second law. - Proc. Royal Soc London Ser A, vol.357, pp.253-270.
- Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermo-mechanics. - Proc. Royal Soc London Ser A, vol.432, pp.171-194.
- Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
- Kumar R. and Deswal S. (2002): Steady state response to moving loads in a micropolar generalized thermoelastic half space without energy dissipation. - Ganita, vol.53, pp.23-42.
- Kumar R. and Deswal S. (2002): Surface wave propagation in a micropolar thermoelastic medium without energy dissipation. - J. of Sound and Vibration, vol.256, pp.173-178.
- Kumar R. and Deswal S. (2003): Microstretch thermoelastic interaction without energy dissipation due to mechanical and thermal sources. - Proc. Nat. Acad. Sci., vol.73(A), pp.113-126.
- Kumar R. and Deswal S. (2003): Surface wave propagation through a cylindrical bore in a micropolar generalized thermoelastic medium without energy dissipation. - Proc. Nat. Acad. Sci., vol.73(A), pp.315-327.
- Lamb H. (1917): On waves in an elastic plate. - Phil. Trans. Roy. Soc., London, Ser. A, vol.93, pp.114-128.
- Nowacki W. (1986): Theory of Asymmetric Elasticity. - Oxford: Pergamon.
- Touchert T.R and Claus W.D. Jr. and Ariman T. (1968): The linear theory of micropolar thermoelasticity. - Int. J. Eng. Sci., vol.6, pp.37-47.
- Wang J. and Slattery S.P. (2002): Thermoelasticity without energy dissipation for initially stressed bodies. - Int. J. of Mathematics and Mathematical Sciences, vol.31, pp.329-337.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0034-0009