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Wave propagation in swelling porous elastic layer

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present investigation deals with the propagation of straight and circularly crested Lamb waves in a swelling porous elastic layer subjected to stress free boundary. A Helmholtz decomposition technique has been used to simplify the mathematical model. The secular equations for different mechanical situations are obtained. Numerical computations are performed to compute the symmetric and skew-symmetric phase velocity and attenuation coefficient in Swelling Porous (SP) and without Swelling Porous (elastic) (WSP) media. At short wavelength limits, the secular equations for symmetric and skew-symmetric waves in the stress free swelling porous and without swelling porous elastic layer reduce to the Rayleigh surface wave frequency equation. The amplitudes of displacements and stresses are obtained and are presented graphically. Some special cases have been deduced from the present investigation. The present study has immense applications to geophysical problems and structure problems.
Rocznik
Strony
379--398
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
autor
autor
autor
Bibliografia
  • Bofill F. and Quintanilla R. (2003): Anti-plane shear deformations of swelling porous elastic soils. - Int. Journal of Engng. Sci., vol.41, pp.801-816.
  • Eringen A.C. (1994): A continuum theory of swelling porous elastic soils. - Int. J. Engng. Sci., vol.32, pp.1337-1349.
  • Gales C. (2003): Spatial decay estimates for solutions describing harmonic vibrations in the theory of swelling porous elastic soils. - Acta Mechanica, vol.161, pp.151-163.
  • Gales C. (2004): Waves and vibrations in the theory of swelling porous elastic soils. - European Journal of Mechanics A solids 23, pp.345-357.
  • Gales C. (2008): On the asymptotic spatial behavior in the theory of mixtures of thermo elastic solids. - International Journal of Solids and Structures, vol.45, pp.2117-2127.
  • Gales C. (2009): On spatial behavior of the harmonic vibrations in thermoviscoelastic mixtures. - Journal of Thermal Stresses, vol.32, pp.512-529.
  • Graff K.F. (1975): Wave Motion in Elastic Solids. - Oxford: Clarendon Press.
  • Kleintelter N., Park M. and Cushman J. (2007): Mixture theory and unsaturated flow in swelling soils. - Transp Porous Med., vol.68, pp.69-89.
  • Tersa W. and Bennethum S. (2006): On the derivation of the transport equation for swelling porous materials with finite deformation. - Int. Journal of Engng. Sci., vol.44, pp.1408-1422.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0005
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