A comparison of the propagation of longitudinal waves in rods of viscoelastic materials

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Abstract
The stress and velocity distributions associated with the propagation of an impulsively applied velocity and stress along rods of viscoelastic materials are presented. Various viscoelastic materials are considered of complexity up to that represented by a four element model which exhibits a combination of instantaneous elastic response, delayed elastic response, and permanent viscous flow. The solutions are compared to determine under what circumstances the mathematically simpler solutions comprise an adequate approximation to the more complicated ones, to provide a guide to the choice of analysis in treating such dynamic stress analysis problems in viscoelastic bodies.

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