Universal Relations for Acceleration Wave Speeds in Nonlinear Viscoelastic Solids

Report No. ARL-RP-132
Authors: Michael J. Scheidler
Date/Pages: September 2006; 10 pages
Abstract: For finite deformations of nonlinear viscoelastic solids, the speed of propagation of acceleration waves (i.e., ramp waves)generally depends not only on the current state of strain at the wave front but also on the prior strain history. Consequently, explicit formulas for the wave speed can be quite complicated. Simple formulas for the wave speed do exist for special classes of materials and/or special deformation histories, and in this regard we consider one-dimensional motions of viscoelastic solids governed by single integral laws. Some of the relations obtained are universal in the sense that they hold for all materials in a given class and do not explicitly involve the relaxation kernel function in the hereditary integral defining these materials.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2006