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Elastodynamics of time harmonic inclined load in micropolar thermoelastic medium possessing cubic symmetry

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The analytic expressions for the displacements, microrotation, stresses and temperature distribution on the free surface of a micropolar thermoelastic medium possessing cubic symmetry as a result of time harmonic inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The Fourierer transform has been employed to solve the problem. The variations of the displacements, microrotation, stresses and temperature distribution with the horizontal distance have been shown graphically.
Rocznik
Strony
629--644
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • Dhaliwal R.S. and Singh A. (1980): Dynamic coupled thermoelasticity. - Hindustan Publication Corporation, New Delhi, India, pp.726.
  • Eringen A.C. (1966a): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
  • Eringen A.C. (1966b): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-18.
  • Eringen A.C. (1970): Foundations of micropolar thermoelasticity. - Intern. Cent. For Mech. STUDIES, Course and Lectures, No.23, Springer-Verlag, Wien.
  • Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Eng. Sci., vol.22, pp.1113-1121.
  • Garg N.R., Kumar R., Goel A. and Miglani A. (2003): Plane strain deformation of an orthotropic elastic medium using eigen value approach. - Earth Planets Space, vol.55, pp.3-9.
  • Iesan D. (1973): The plane micropolar strain of orthotropic elastic solids. - Arch. Mech., vol.25, pp.547-561.
  • Iesan D. (1974a): Torsion of anisotropic elastic cylinders. - ZAMM, vol.54, pp.773-779.
  • Iesan D. (1974b): Bending of orthotropic micropolar elastic beams by terminal couples. - An. St. Uni. Iasi, XX, pp.411-418.
  • Kumar R. and Ailawalia P. (2005a): Behaviour of micropolar cubic crystal due to various sources. - Journal of Sound and Vibration, vol.283, Issue 3-5, pp.875-890.
  • Kumar R. and Ailawalia P. (2005b): Deformation in micropolar cubic crystal due to various sources. - Int. J. Solids. Struct., vol.42, Issue 23, pp.5931-5944.
  • Kumar R. and Ailawalia P. (2005c): Moving inclined load at boundary surface. - Applied Mathematics and Mechanics,. vol.26, No.4, pp.476-485.
  • Kumar R. and Ailawalia P. (2005d): Interactions due to inclined load at micropolar elastic half-space with voids. - Int. J. Appl. Mech. Eng., vol.10, No.1, pp.109-122.
  • Kumar R. and Choudhary S. (2002c): Influence and Green's function for orthotropic micropolar continua. - Archives of Mechanics, vol.54, pp.185-198.
  • Kumar R. and Choudhary S. (2002d): Dynamical behavior of orthotropic micropolar elastic medium. - Journal of Vibration and Control, vol.8, pp.1053-1069.
  • Kumar R. and Choudhary S. (2002e): Mechanical sources in orthotropic micropolar continua. - Proc. Indian. Acad.Sci. (Earth Plant. Sci.), vol.111, No.2, pp.133-141.
  • Kumar R. and Choudhary S. (2003): Response of orthotropic micropolar elastic medium due to various sources. -Meccanica, vol.38, pp.349-368.
  • Kumar R. and Choudhary S. (2004): Response of orthotropic micropolar elastic medium due to time harmonic sources. - Sadhana, vol.29, Part I, pp.83-92.
  • Kumar R. and Deswal S. (2001): Mechanical and thermal sources in a micropolar generalized thermoelastic medium. - Journal of Sound and Vibration, vol.269, pp.467-488.
  • Kumar R. and Rani L. (2003): Elastodynamics of time harmonic sources in a thermally conducting cubic crystal. - Int. J. Appl. Mech. Eng., vol.8, No.4. pp.637-650.
  • Kumar R., Singh R. and Chadha T.K. (2002a): Eigen value approach to the dynamical problem of heat flux dependent micropolar thermoelastic solid. - Bull. Cal. Math. Soc., vol.94, No.4, pp.305-318.
  • Kumar R. Singh R. and Chadha T.K. (2003): Eigen value approach to the problem of heat flux dependent micropolar thermoelastic medium. - Indian J. Pure and Appl. Math., vol.33, pp.647-664.
  • Kumar R., Singh R. and Chadha T.K. (2003): Some source problems of micropolar theory of thermoelastic continua. - Indian J. Math., vol.45, No.2, pp.159-176.
  • Kuo J.T. (1969): Static response of a multilayered medium under inclined surface loads. - J. Geophysical Research, vol.74, No.12, pp.3195-3207.
  • Marin M. and Lupu M. (1998): On harmonic vibrations in thermoelasticity of micropolar bodies. - Journal of Vibration and Control, vol.4, pp.507-518.
  • Minagawa S., Arakawa K. and Yamada M. (1981): Dispersion curves for waves in a cubic micropolar medium with reference to Estimations of the Material constants for Diamond. - Bull. JSME, vol.24, No.187, pp.22-28.
  • Nakamura S., Benedict R. and Lakes R. (1984): Finite element method for orthotropic micropolar elasticity. - Int . J. Eng. Sci., vol.22, pp.319-330.
  • Nowacki W. (1966): Couple-stresses in the theory of thermoelasticity. - Proc. IUTAM Symposia, Vienna, Editors H, Parkus and L.I .Sedov, Springer-Verlag, pp.259-278.
  • Press W.H., Teukolsky S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0034-0007
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