Torsional waves propagation in an initially stressed dissipative cylinder

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dc.creatorSelim, M. M.
dc.date2009-03-28
dc.date.accessioned2026-07-07T12:58:06Z
dc.date.available2026-07-07T12:58:06Z
dc.descriptionThe present paper has been framed to show the effect of damping on the propagation of torsional waves in an initially stressed, dissipative, incompressible cylinder of infinite length. A governing equation has been formulated on Biot's incremental deformation theory. The velocities of torsional waves are obtained as complex ones, in which real part gives the phase velocity of propagation and corresponding imaginary part gives the damping. The study reveals that the damping of the medium has strong effect in the propagation of torsional wave. Since every medium has damping so it is more realistic to use the damped wave equation instead of the undamped wave equation. The study also shows that the velocity of propagation of such waves depend on the presence of initial stress. The influences of damping and initial stresses are shown separately.
dc.description9 pages; http://faculty.ksu.edu.sa/mmselim
dc.identifierhttps://arxiv.org/abs/0903.4896
dc.identifierhttp://arxiv.org/abs/0903.4896
dc.identifierApplied Mathematical Sciences, Vol. 1, 2007, no. 29, 1419 - 1427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225131
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subject00A69
dc.titleTorsional waves propagation in an initially stressed dissipative cylinder
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