Mathematical Modeling of Torsional Surface Wave Propagation in a Non-Homogeneous Transverse Isotropic Elastic Solid Semi-Infinite Medium Under a Layer

Autor: M. Sethi, A. Sharma, A. Vasishth
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: International Journal of Applied Mechanics and Engineering, Vol 22, Iss 2, Pp 415-426 (2017)
Druh dokumentu: article
ISSN: 1734-4492
2353-9003
2017-0025
DOI: 10.1515/ijame-2017-0025
Popis: The present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.
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