Springer Online Journal Archives 1860-2000
Abstract 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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