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On one-dimensional shock waves in composite materials modelled as interpenetrating solid continua

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Abstract

A one dimensional version of a theory of composite materials modelled as interpenetrating solid continua is used to study the propagation of shock waves in composites with two identifiable constituents. It is found that two distinct types of shock waves may propagate except when one of the constituents is a chopped fiber. The speeds at which the shock waves propagate are determined as are the differential equations which govern the evolutionary behaviour of the amplitudes of the waves. The implications of these results are studied in detail in a number of particular situations. Finally, the special results which hold when the amplitudes of the shock waves are infinitesimal are also presented.

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Authors and Affiliations

  1. National University of Ireland, University College, Galway

    Matthew F. McCarthy

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  1. Matthew F. McCarthy
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Communicated by H. F. Tiersten

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McCarthy, M.F. On one-dimensional shock waves in composite materials modelled as interpenetrating solid continua. Arch. Rational Mech. Anal. 103, 169–191 (1988). https://doi.org/10.1007/BF00251507

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  • DOI: https://doi.org/10.1007/BF00251507

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