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The present paper has been framed to show the effect of damping on thepropagation of torsional waves in an initially stressed, dissipative,incompressible cylinder of infinite length. A governing equation has beenformulated on Biot's incremental deformation theory. The velocities oftorsional waves are obtained as complex ones, in which real part gives thephase velocity of propagation and corresponding imaginary part gives thedamping. The study reveals that the damping of the medium has strong effect inthe propagation of torsional wave. Since every medium has damping so it is morerealistic to use the damped wave equation instead of the undamped waveequation. The study also shows that the velocity of propagation of such wavesdepend on the presence of initial stress. The influences of damping and initialstresses are shown separately.

Torsional waves propagation in an initially stressed dissipative cylinder