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Decay of acceleration waves in elastic rods

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Abstract

The problem of the propagation and decay of acceleration waves in nonlinear hyperelastic rods is treated herein. The general growth-decay law governing wave strength is obtained for all waves which can propagate in the rod. An expression for the induced higher order wave is also obtained. The forms taken by the law of growth or decay in a number of special cases are given.

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References

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Authors and Affiliations

  1. Department of Civil Engineering, University of Manitoba, Winnipeg, Manitoba, Canada

    H. Cohen

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  1. H. Cohen
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Communicated by R. A. Toupin

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Cohen, H. Decay of acceleration waves in elastic rods. Arch. Rational Mech. Anal. 67, 151–163 (1978). https://doi.org/10.1007/BF00249504

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  • DOI: https://doi.org/10.1007/BF00249504

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