Evolutionary dilatational shock waves in a generalised theory of thermoelasticity

C. E. Beevers

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2 Citations (Scopus)


The one-dimensional non-linear equations governing dilatational thermoelasticity are presented and a rate-type heat flux law is postulated. The charateristic wave speeds are then calculated for those materials possessing a free energy function. Two types of wave are possible: a mainly mechanical wave and a mainly thermal wave. The shock equations are also stated and from them two dilatational shock speeds are determined. The equations displayed in this paper belong to a class of generalised conservation laws for which an evolutionary criterion is constructed. The criterion is then compared with the entropy inequality as a means of rejecting physically unrealistic shock solutions of the equations of thermoelasticity. © 1974 Springer-Verlag.

Original languageEnglish
Pages (from-to)67-79
Number of pages13
JournalActa Mechanica
Issue number1-2
Publication statusPublished - Mar 1974


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