S.Gupta, S.K.Vishwakarma, D.K.Majhi, S.Kundu. Influence of Linearly Varying Density and Rigidity on Torsional Surface Waves in an Inhomogeneous Crustal Layer[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1156-1169. doi: 10.3879/j.issn.1000-0887.2012.10.002
Citation: S.Gupta, S.K.Vishwakarma, D.K.Majhi, S.Kundu. Influence of Linearly Varying Density and Rigidity on Torsional Surface Waves in an Inhomogeneous Crustal Layer[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1156-1169. doi: 10.3879/j.issn.1000-0887.2012.10.002

Influence of Linearly Varying Density and Rigidity on Torsional Surface Waves in an Inhomogeneous Crustal Layer

doi: 10.3879/j.issn.1000-0887.2012.10.002
  • Received Date: 2011-11-15
  • Rev Recd Date: 2012-04-07
  • Publish Date: 2012-10-15
  • The possibility of propagation of torsional surface wave in an inhomogeneous crustal layer over an inhomogeneous half space was disscussed. The layer had inhomogeneity which varied linearly with depth whereas the inhomogeneous half space exhibited inhomogeneity of three types namely exponential, quadratic and hyperbolic discussed separately. Dispersion equation was deduced for each case in a closed form. For a layer over a homogeneous half space, the dispersion equation agreed with the equation of classical case. It is observed that the inhomogeneity factor due to linear variation in density in the inhomogeneous crustal layer decreases the phase velocity as it increases, while the inhomogeneity factor in rigidity has the reverse effect on phase velocity.
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