Acceleration waves in constrained elastic materials

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Abstract

Well known results on the propagation and growth of acceleration waves in Cauchy elastic materials are extended to materials which suffer one or two internal constraints. It is proved, under certain restrictions, that acceleration waves will not propagate in a material which has three or more internal constraints. The great simplifications deriving from an assumption of hyperelasticity are indicated. The present results could be extended to materials other than simple elastic.
Original languageEnglish
Pages (from-to)57-75
Number of pages19
JournalArchive for Rational Mechanics and Analysis
Volume58
Issue number1
DOIs
Publication statusPublished - 1975

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