Reflection at free surface in micropolar thermoelastic solid with two temperatures

• Autorzy: Sharma K.

Identyfikatory

DOI

10.2478/ijame-2013-0014

• Języki publikacji: EN

Abstrakty

EN

The present investigation is concerned with the effect of two temperatures on reflection coefficients in a micropolar thermoelastic solid half space. With two relaxation times, reflection of plane waves impinging obliquely at a plane interface of the micropolar generalized thermoelastic solid half space with two temperatures is investigated. The incident wave is assumed to be striking at the plane surface after propagating through the micropolar generalized thermoelastic solid with two temperatures. Amplitude ratios of the various reflected waves are obtained in closed form and it is found that these are functions of angle of incidence, frequency and are affected by the elastic properties of the media. The effect of two temperatures is shown on these amplitude ratios for a specific model.

Słowa kluczowe

EN

micropolar thermoelastic solid; conductive and thermodynamic temperatures; elastic waves; reflection coefficient

PL

termoelastyczność; fale sprężyste; współczynnik odbicia dźwięku

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 1
• Strony: 217--234
• Opis fizyczny: Bibliogr. 35 poz., wykr.

Twórcy

autor

Sharma K.

• Department of Mechanical Engineering Ecole Polytechnique Fédérale de Lausanne (EPFL) Lausanne, Switzerland

Bibliografia

• Boley M. (1956): Thermoelastic and irreversible thermodynamics. - Journal of Applied Physics, vol.27, pp.240-253.
• 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. - International Journal of Engineering Science, vol.24, pp.1389-1395.
• Chen P.J., Gurtin M.E. and Williams W.O. (1968): A note on non simple heat conduction. - Zeitschrift für angewandte Mathematik und Physik, vol.19, pp.960-970.
• Chen P.J., Gurtin M.E. and Williams W.O. (1969): On the thermoelastic material with two temperatures. - Zeitschrift für Angewandte Mathematik und Physik, vol.20, pp.107-112.
• Dost S. and Taborrok B. (1978): Generalized micropolar thermoelasticity. - International Journal of Engineering Science, vol.16, pp.173-178.
• Eringen A.C. (1966): Linear theory of micropolar elasticity. - Journal of Applied Mathematics and Mechanics, vol.15, pp.909-923.
• Eringen A.C. (1970): Foundations of micropolar thermoelasticity. - International Centre for Mechanical Science, Udline Course and Lectures 23, Springen-Verlag, Berlin.
• Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - International Journal of Engineering Science, vol.22, pp.1113-1121.
• Eringen A.C. (1999): Microcontinuum Field Theories I: Foundations and Solids. - Berlin: Springer-Verlag.
• Ezzat M.A. and Aiwad E.S. (2010): Constitutive relations, Uniqueness of solution and thermal shock application in thelinear theory of micropolar generalized thermoelasticity involving two temperatures. - Journal of Thermal Stresses, vol.33, pp.226-250.
• Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - Journal of Elasticity, vol.2, pp.1-7.
• Hsia S.Y. and Cheng J.W. (2006): Longitudinal plane waves propagation in elastic micropolar porous media. - Japanese Journal of Applied Physics, vol.45, pp.1743-1748.
• Hsia S.Y., Chiu S.M., Su C.C. and Chen T.H. (2007): Propagation of transverse waves in elastic micropolar poroussemispaces. - Japanese Journal of Applied Physics, vol.46, pp.7399-7405.
• Kaushal S., Kumar R. and Miglani A. (2011): Wave propagation in temperature rate dependent thermoelasticity withtwo temperatures. - Mathematical Sciences, vol.5, pp.125-146.
• Kaushal S., Sharma N. and Kumar R. (2010): Propagation of waves in generalized thermoelastic continua with twotemperatures. - International Journal of Applied Mechanics and Engineering, vol.15, pp.1111-1127.
• Kumar R. (2000): Wave propagation in micropolar viscoelastic generalized thermoelastic solid. - Int. J. Engng. Sci., vol.38, pp.1377-1395.
• Kumar R. and Rupender (2008): Reflection at the free surface of magneto-thermo-microstretch elastic solid. - Bull. Pol. Acad. Sci. Tech. Sci., vol.56, pp.263-279.
• Kumar R. and Rupender (2009): Propagation of waves in an electro-microstretch generalized thermoelastic semispace. - Acta Mech Sin., vol.25, pp.619-628.
• Kumar R. and Sharma J.N. (2005): Reflection of plane waves from the boundaries of a micropolar thermoelastic halfspace without energy dissipation. - Int. J. Appl. Mech. and Eng., vol.10, pp.631-645.
• Kumar R. and Singh B. (1998a): Reflection of plane waves from the flat boundary of a micropolar generalizedthermoelastic half space with stretch. - Indian J. Pure Appl. Math., vol.29, pp.657-669.
• Magana A. and Quintanilla R. (2008): Uniqueness and growth of solution in two temperature generalized thermoelastictheories. - Maths. Mechs. Solids, Online.
• Mukhopadhyay S. and Kumar R. (2009): Thermoelastic interaction on two temperature generalized thermoelasticity inan infinite medium with a cylindrical cavity. - Journal of Thermal Stresses, vol.32, pp.341-360.
• Nowacki W. (1986): Theory of Asymmetric Elasticity. - Oxford: Pergamon.
• Parfitt V.R. and Eringen A.C. (1969): Reflection of plane waves from the flat boundary of a micropolar elastic halfspace. - J. Acous. Soc. Am., vol.45, pp.1258-1272.
• Puri P. and Jordan P. (2006): On the propagation of harmonic plane waves under the two temperature theory. - International Journal of Engineering Science, vol.44, pp.1113-1126.
• Roushan K. and Santwana M. (2010): Effect of thermal relaxation time on plane wave propagation under twotemperature thermoelasticity. - International Journal of Engineering Science, vol.48, pp.128-139.
• Singh B. (2007): Wave propagation in an orthotropic micropolar elastic solid. - Int. J. Solid and Struct., vol.44, pp.638-3645.
• Singh B. and Kumar R. (1998b): Reflection of plane waves from the flat boundary of a micropolar generalizedthermoelastic half space. - Int. J. Engng. Sci., vol.36, pp.865-890.
• Tomar S.K., Kumar R. and Kaushik V.P. (1998): Wave propagation of micropolar elastic medium with stretch. - Int. J. Engng. Sci., vol.36, pp.683-698.
• Touchert T.R., Claus W.D. Jr. and Ariman T. (1968): The linear theory of micropolar thermoelasticity. - International Journal of Engineering Science 6, pp.37-47.
• Warren W.E. and Chen P.J. (1973): Wave propagation in the two temperature theory of thermoelasticity. - Acta Mechanica, vol.16, pp.21-23.
• Youssef H.M. (2005): Theory of two temperature generalized thermoelastic. - IMA Journal of Applied Mathematics, pp.1-8.
• Youssef H.M. and Al-Lehaibi E.A. (2007): A state approach of two temperature generalized thermoelasticity of onedimensional problem. - International Journal of Solid and Structures, vol.44, pp.1550-1562.
• Youssef H.M. and Al Harby H.A. (2007): State space approach of two temperature generalized thermoelasticity ofinfinite body with a spherical cavity subjected to different types of thermal loading. - Archive Applied Mechanics, vol.77, pp.675-687.