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On the wave propagation property in finite elasticity

Published online by Cambridge University Press:  14 November 2011

Paolo Maremonti  and
Remigio Russo
Paolo Maremonti
Affiliation:
Dipartimento di Matematica e Applicazionidell-Università“Federico II”, via Mezzocannone 8, 80134 Napoli, Italy
Remigio Russo
Affiliation:
Dipartimento di Matematica e Applicazionidell-Università“Federico II”, via Mezzocannone 8, 80134 Napoli, Italy
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Synopsis

By using a mild hypothesis on the acoustic tensor, it is shown that the disturbances in a nonlinear elastic body travel with a finite speed. Moreover, a uniqueness theorem for the displacement problem of nonlinear elastodynamics is proved. No assumption is made on the extension of the body.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 107 - 116
Copyright
Copyright © Royal Society of Edinburgh 1991

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