Abstract
The problem of the propagation of waves, resulting from the dynamic expansion of a spherical cavity, in an unbounded linear viscoelastic solid with more than one discrete relaxation constant is considered. A new formulation of the governing equations is presented, in which the resulting system of five equations is treated as a strictly hyperbolic system of first-order hyperbolic partial differential equations and the method of characteristics is adapted to obtain numerical solutions. Results are presented for a solid with one and two discrete relaxation times and are compared with those obtained from a predictor-corrector finite difference scheme.
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