The problem of the propagation and decay of acceleration waves in nonlinear hyperelastic rods, subject to a general class of constraints, is treated herein. The growth-decay equation, clearly showing the effect of the constraints, is derived for all waves which can propagate in the rod. For a certain class of constraints, general enough to include most of the practical applications, the wave decay equation is found to have the same form as for a rod without constraints, provided the rod is initially at rest.
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Communicated by R. A. Toupin
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Cohen, H., Epstein, M. Acceleration waves in constrained elastic rods. Arch. Rational Mech. Anal. 72, 141–154 (1979). https://doi.org/10.1007/BF00249361
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