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Wave propagation in a micropolar transversely isotropic generalized thermoelastic half-space

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Języki publikacji
EN
Abstrakty
EN
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution were also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.
Rocznik
Strony
247--257
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
autor
  • Department of Mathematics and Applied Sciences MEC, Muscat, OMAN
Bibliografia
  • [1] Abubakar I. (1962): Free vibrations of a transversely isotropic plate. - Quart. Journ. Mech. and Applied Math., vol.15, No.1, pp.129-136.
  • [2] Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.16, pp.909-923.
  • [3] Eringen A.C. (1999): Microcontinuum Field Theories I: Foundations and Solids. - New York: Springer-Verlag.
  • [4] Gauthier R.D. (1982). In experimental investigations on micropolar media. - Mechanics of Micropolar Media (eds) O.
  • [5] Brulin, RKT Hsieh. (Singapore: World Scientific) Keck E. and Armenkas A.E. (1971): Wave propagation in transversely isotropic layered cylinders. - J. of the Engg. Mech. Division Procc. of the Amer. Soc. of Civil Engg., EM 2, pp.541- 555.
  • [6] Mindlin R.D. (1964): Microstructure in linear elasticity. - Arch. Rational Mech. Anal., vol.16, pp.51-78.
  • [7] Payton R.G. (1992): Wave propagation in a restricted transversely isotropic elastic solid whose slowness surface contains conical points. - Mech. Appl. Math., vol.45, Pt.2, pp.183-197.
  • [8] Slaughter W.S. (2002): The Linearized Theory of Elasticity. - Birkhauser.
  • [9] Suhubi E.S. and Eringen A.C. (1964): Non-linear theory of simple microelastic solids II. - Int. J. Engng. Sci., vol.2, pp.389-404.
  • [10] Suvalov A.L., Poncelet O., Deschamps M. and Baron C. (2005): Long-wavelength dispersion of acoustic waves in transversely inhomogeneous anisotropic plates. - Wave Motion, vol.42, pp.367-382.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4e933f65-e7e7-4f4c-ba9a-5eb8759ea801
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