Reflection of transverse and microrotational waves from free surface in micropolar thermodiffusion elastic half-space

• Autorzy: Kumar R. , Kaushal S. , Sharma K. D. , Garg S. K.
• Języki publikacji: EN

Abstrakty

EN

The problem of reflection of plane waves in a micropolar thermodiffusion elastic is investigated in the context of the coupled theory. The amplitude ratios of various reflected waves are continuous functions of the angle of incidence and material parameters of the medium. A graphical representation of amplitude ratios is presented and the impact of micropolarity and diffusion property of the medium is observed to be significant. Some special cases of interest are deduced from the present article.

Słowa kluczowe

EN

micropolar thermodiffusion; amplitude ratios; plane waves; reflected waves

PL

wskaźnik amplitudy; fala płaska; odbicie fali

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 2
• Strony: 401--417
• Opis fizyczny: Bibliogr. 32 poz., wykr.

Twórcy

autor

Kumar R.

autor

Kaushal S.

autor

Sharma K. D.

autor

Garg S. K.

• Department of Mathematics, Kurukshetra University Kurukshetra, INDIA,

Bibliografia

• Aouadi M. (2006): Variable electrical and thermal conductivity in the theory of generalized thermodiffusion. - ZAMP, vol.57, No.2, pp.350-366.
• Aouadi M. (2006): A generalized thermoelastic diffusion problem for an infinitely long solid cylinder. - Int. J. of Mathematics and Matematical Sciences, Article ID 25976, 15 pages.
• Aouadi M. (2007): A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion. - Int. J. Solids Struct., vol.44, pp.5711-5722.
• Aouadi M. (2007): Uniqueness and recipocity theorem in the theory of generalized thermoelasic diffusion. - Journal of Thermal Streses, vol.30, pp.665-678.
• Aouadi M. (2008): Generalized theory of thermoelasic diffusion for an anisotropic media. - Journal of Thermal Streses, vol.31, pp.270-285.
• Boschi E. and Iesan D. (1973): A generalized theory of linear micropolar thermoelasticity. - Meccanica, vol.7, pp.154-157.
• Chandersekharaiah D.S. (1986): Heat flux dependent micropolar thermoelasticity. - Int. J. Eng. Sci, vol.24, pp.1389-1395.
• Dost S. and Tabarrok B. (1078): Genralized micropolar thermoelasticity. - Int. J. Eng.Sci., vol.16, pp.173.
• Eringen A.C. (1968): Theory of Micropolar Elasticity. - In Fractuce ed H.Lieboneitz vol-V. Acamdemic Press, New York.
• Eringen A.C. (1970): Foundations of micropolar thermoelasitcity.- International Centre for Mechanical Science, Course and Lectures, No.23, Springer, Berlin.
• Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Engg Sci., vol.22, pp.1113-1121.
• Eringen A.C. (1986): Micro Continuum Field Theories. - I Foundation and Solids, Springer - Verlag, Berlin.
• Kumar R., Kaushal S. and Milani A. (2010): Elastodynamic response of various sources in micropolar thermodiffusive elastic mediu. - Int. J. of Applied Mechanics and Engineering, vol.15, No.1, pp. 63-98.
• Kumar R., Kaushal S. and Milani A. (2010): Analysis of deformation due to various sources in micropolar thermodiffusive elastic medium. - Int. J. for Computational Methods in Engineering Science and Mechanics, vol.11, pp.1-15.
• Kumar R. and Kansal T. (2009): Rayleigh-Lamb waves in transversely isotropic themoelastic diffusive laye. - Int. Journal of Thermophysics, vol.30, No.2, pp.701-733.
• Kumar R. and Singh B. (1998): Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space with stretch. -Indian Journal of Pure and Applied Math., vol.29, No.6, pp.657-669.
• Nowacki W. (1974a): Dynamical problems of thermo-diffusion in solids I. - Bull. Acad. Pol. Sci. Ser. Sci. Tech., vol.22, pp.55-64.
• Nowacki W. (1974b): Dynamical problems of thermo-diffusion in solids II. - Bull. Acad. Pol. Sci. Ser. Sci. Tech., vol.22, pp.129-135.
• Nowacki W. (1974c): Dynamical problems of thermo-diffusion in solids III. - Bull. Acad. Pol. Sci. Ser. Sci. Tech., vol.22, pp.257-266.
• Nowacki W. (1976): Dynamical problems of thermo-diffusion in solids. - Engg. Frac. Mech., vol.8, pp.261-266.
• Nowacki W. (1986): Theory of Asymmetric Elasticity. - Oxford: Pergamon.
• Olesiak Z.S. and Pyryev Y.A. (1995): A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder. - Int. J. Engg. Sci., vol.33, pp.773-780.
• Schoenberg M. (1971): Transmission and reflection of plane waves at an elastic- viscoelastic interface. - Geophys. J. R. Astr. Soc. 25, pp.35-47.
• Sharma N., Ram P. and Kumar R. (2008): Plane strain deformation in generalized thermoelastic diffusion. - Int. J. of Thermophysics, vol.29, pp.1503-1522.
• Sharma N., Kumar R. and Ram P. (2008): Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain. - Struct. Eng. Mech., vol.28, No.1, pp.19-38.
• Sherief H.H. and El-Maghraby N.M. (2009): A thick plate problem in the theory of generalized thermoelastic diffusion. - Int. J. of Thermophysics, vol.30, pp.2044-2057.
• Sherief H.H., Saleh H. and Hamza F. (2004): The theory of generalized thermoelastic diffusion. - Int. J. Engg Sci., vol.42, pp.591-608.
• Sherief H.H. and Saleh H. (2005): A half- space problem in the theory of generalized thermoelastic diffusion. - Int. J. of Solid and Structures, vol.42, pp.4484-4493.
• Singh B. (2005): Reflection of P and SV waves from free surface of an elastic soild with generalized thermodiffusion. - J. Earth Syst. Sci., vol.114, No.2, pp.159-168.
• Singh B. (2006): Reflection of SV waves from free surface of an elastic soild with generalized thermoelastic diffusion. - J. Sound Vib., vol.291(3-5), pp.764-778.
• Thomas L. (1980): Fundamental of Heat Transfer. - New Jersey: Prentice Hall Inc-Englewmd Diffs.
• 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.