Rayleigh waves in transversely isotropic thermoelastic diffusive half-space

Authors: Kumar, R; Kansal, T

Source: Canadian Journal of Physics, Volume 86, Number 9, September 2008 , pp. 1133-1143(11)

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Abstract:

The present investigation is devoted to the study of the propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space subjected to stress-free, thermally insulated and (or) isothermal, and chemical potential boundary conditions, in the context of the theory of coupled thermoelastic diffusion. Secular equations for surface-wave propagation in the media being considered are derived. The surface-particle paths during the motion are found to be elliptical, but degenerate into straight lines in case where there is no phase difference between the horizontal and vertical components of the surface displacements. The phase velocity; attenuation coefficient; specific loss of energy; and the amplitudes of surface displacements, temperature change, and concentration are computed numerically and presented graphically to depict the anisotropy and diffusion effects. Some special cases of frequency equations are also deduced from the present investigation. PACS Nos.: 62.20.-x, 62.20.D-, 62.20.de, 62.20.dj, 62.20.dq, 62.30.+d, 66.10.C-, 66.10.cd, 66.10.cg, 66.30.-h

Nous étudions ici, dans le cadre de la théorie de la diffusion thermo-élastique couplée, la propagation d'ondes de Rayleigh dans un demi-espace homogène, transversalement isotrope, à diffusion thermo-élastique, sans contrainte, isotherme et thermiquement isolé, soumis à des conditions limites sur le potentiel chimique. Nous obtenons les équations séculaires pour la propagation d'ondes de surface dans ce milieu. Nous trouvons que les trajectoires des particules en surface sont elliptiques et dégénèrent en lignes droites lorsque n'existe aucune différence de phase entre les composantes verticale et horizontale des déplacements en surface. Nous calculons numériquement et affichons graphiquement la vitesse de phase, le coefficient d'atténuation, les pertes énergétiques spécifiques et les amplitudes des déplacements en surface. Cette étude nous permet aussi d'obtenir certains cas spéciaux des équations de fréquence.[Traduit par la Rédaction]

Document Type: Research article

Publication date: 2008-09-01

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Rayleigh waves in transversely isotropic thermoelastic diffusive half-space

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