Incompressibility at uniform temperature or entropy in isotropic thermoelasticity

Leslie, D.J. and Scott, N.H. (1998) Incompressibility at uniform temperature or entropy in isotropic thermoelasticity. Quarterly Journal of Mechanics and Applied Mathematics, 51 (2). pp. 191-211. ISSN 1464-3855

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Abstract

It is known that two stable longitudinal waves may propagate in each direction through an isotropic thermoelastic material. It is shown that two longitudinal waves may propagate in each direction through an isotropic thermoelastic material which is incompressible at uniform temperature, one wave being stable and the other unstable. As frequency varies these modes occupy parts of a rectangular hyperbola in the complex plane of squared wave speeds. It is further shown that only one longitudinal wave may propagate if the isotropic thermoelastic material is incompressible at uniform entropy rather than temperature. This is stable wave. The corresponding mode occupies a semicircle in the complex plane introduced above.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:23
Last Modified:	28 Mar 2025 05:01
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20827
DOI:	10.1093/qjmam/51.2.191

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