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Torsional Wave in a Viscoelastic Layer over a Viscoelastic Substratum of Voigt Types

Kumari, Pato / Sharma, V. K. / Modi, Chitra

This article explores the dissipation and dispersion of torsional wave resulting from imperfection in elasticity in terms of internal friction, layer width between dissimilar homogeneous viscoelastic isotropic medium having Voigt-type viscosity. The closed forms solutions for the displacement in the upper layer and lower half space are obtained separately. The generalized torsional wave period equation is obtained and the angular frequency has been plotted against wave number for different values of relevant parametric variation and certain particular cases have been deduced. Dissipation and dispersion are analysed using two and three dimensional plots along with filled contour plots.

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Torsional Wave in a Viscoelastic Layer over a Viscoelastic Substratum of Voigt Types

Kumari, Pato / Sharma, V. K. / Modi, Chitra

This article explores the dissipation and dispersion of torsional wave resulting from imperfection in elasticity in terms of internal friction, layer width between dissimilar homogeneous viscoelastic isotropic medium having Voigt-type viscosity. The closed forms solutions for the displacement in the upper layer and lower half space are obtained separately. The generalized torsional wave period equation is obtained and the angular frequency has been plotted against wave number for different values of relevant parametric variation and certain particular cases have been deduced. Dissipation and dispersion are analysed using two and three dimensional plots along with filled contour plots.

Torsional Wave in a Viscoelastic Layer over a Viscoelastic Substratum of Voigt Types

Kumari, Pato / Sharma, V. K. / Modi, Chitra

This article explores the dissipation and dispersion of torsional wave resulting from imperfection in elasticity in terms of internal friction, layer width between dissimilar homogeneous viscoelastic isotropic medium having Voigt-type viscosity. The closed forms solutions for the displacement in the upper layer and lower half space are obtained separately. The generalized torsional wave period equation is obtained and the angular frequency has been plotted against wave number for different values of relevant parametric variation and certain particular cases have been deduced. Dissipation and dispersion are analysed using two and three dimensional plots along with filled contour plots.

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Title:

Torsional Wave in a Viscoelastic Layer over a Viscoelastic Substratum of Voigt Types

Contributors:

Kumari, Pato (author) / Sharma, V. K. (author) / Modi, Chitra (author)

Published in:

Journal of Earthquake Engineering ; 20 ; 1278-1294

Publication date:

2016-11-16

Size:

17 pages

ISSN:

1363-2469 , 1559-808X

DOI:

https://doi.org/10.1080/13632469.2016.1138163

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Torsional Surface Waves , Phase Velocity , Dissipation Function , Viscoelastic Medium , Internal Friction , Dispersion Relation

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