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Effects of fluid layer at micropolar orthotropic boundary surface

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Abstract

Effects of a fluid layer at a micropolar orthotropic elastic solid interface to a moving point load have been studied. After using the Fourier transform an eigen value approach has been employed to solve the problem. The displacement, microrotation and stress components for a micropolar orthotropic elastic solid so obtained in the physical domain are computed numerically by applying the numerical inversion technique. Micropolarity and anisotropy effects along with that of the depth of the fluid layer on various expressions have been depicted graphically for a particular model. Some special cases of interest have been presented

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References

  • Eringen A C 1966a Linear theory of micropolar elasticity.J. Math. Mech. 15: 909–923

    MATH  MathSciNet  Google Scholar 

  • Eringen A C 1966b Theory of micropolar fluids.J. Math. Mech. 16: 1–18

    MathSciNet  Google Scholar 

  • Eringen A C 1968Theory of micropolar elasticity in fracture (New York: Academic Press) Vol. 2, pp 621–729

    Google Scholar 

  • Ewing W M, Jardetzky W S, Press F 1957Elastic waves in layered media (New York: McGraw Hill)

    MATH  Google Scholar 

  • Fung Y C 1968Foundations of solid mechanics (New Delhi: Prentice Hall)

    Google Scholar 

  • Gauthier R D 1982 Experimental investigations on micropolar media. InMechanics of micropolar media, O Brulin, R K T Hsieh (eds) (Singapore: World Scientific)

    Google Scholar 

  • Iesan D 1973 The plane micropolar strain of orthotropic elastic solids.Arch. Mech. 25: 547–561

    MATH  MathSciNet  Google Scholar 

  • Iesan D 1974a Torsion of anisotropic elastic cylinders.ZAMM 54: 773–779

    Article  MATH  Google Scholar 

  • Iesan D 1974b Bending of orthotropic micropolar elastic beams by terminal couples.An. St. Uni. Iasi 20:411–418

    MathSciNet  MATH  Google Scholar 

  • Kumar R, Ailawalia P 2003 Moving load response at thermal conducting fluid and micropolar solid interface.Int. J. Appl. Mech. Eng. 8: 621–636

    MATH  Google Scholar 

  • Kumar R, Choudhary S 2002a Influence of Green’s function for orthotropic micropolar continua.Arch. Mech. 54: 185–198

    MATH  Google Scholar 

  • Kumar R, Choudhary S 2002b Dynamical behaviour of orthotropic micropolar elastic medium.J. Vibr. Contr. 8: 1053–1069

    Article  MATH  Google Scholar 

  • Kumar R, Choudhary S 2002c Mechanical sources in orthotropic micropolar continua.Proc. Indian. Acad. Sci. (Earth Plant. Sci.) 111: 133–141

    Google Scholar 

  • Kumar R, Choudhary S 2003 Response of orthotropic microploar elastic medium due to various sources.Meccanica 38: 349–368

    Article  MATH  Google Scholar 

  • Kumar R, Choudhary S 2004 Response of orthotropic micropolar elastic medium due to time harmonic sources.Sādhāna 29: 83–92

    MATH  Google Scholar 

  • Kumar R, Deswal S 2000 Steady state response of a micropolar generalized thermoelastic half space to the moving mechanical/thermal loads.Proc. Indian. Acad. Sci. (Math. Sci.) 110: 449–465

    MATH  MathSciNet  Google Scholar 

  • Kumar R, Deswal S 2002 Steady state response to moving loads in a micropolar generalized thermoelastic half space without energy dissipation.Ganita 53: 23–42

    MATH  Google Scholar 

  • Kumar R, Gogna M L 1992 Steady state response to moving loads in micropolar elastic medium with stretch.Int. J. Eng. Sci. 30: 811–820

    Article  MATH  Google Scholar 

  • Nakamura S, Benedict R, Lakes R 1984 Finite element method for orthotropic micropolar elasticity.Int. J. Eng. Sci. 22: 319–330

    Article  MATH  Google Scholar 

  • Press W H, Teukolsky S A, Vellerling W T, Flannery B P 1986Numerical recipes (Cambridge: University Press)

    Google Scholar 

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Correspondence to Praveen Ailawalia.

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Kumar, R., Ailawalia, P. Effects of fluid layer at micropolar orthotropic boundary surface. Sadhana 29, 605–616 (2004). https://doi.org/10.1007/BF02901475

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  • DOI: https://doi.org/10.1007/BF02901475

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