Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform entropy

Salnikov, Valerij V. and Scott, Nigel (2007) Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform entropy. Mathematics and Mechanics of Solids, 12 (4). pp. 385-402. ISSN 1081-2865

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Abstract

Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform entropy. This is an example of a deformation-entropy constraint, also known as a strain-entropy constraint. The boundaries of the plate are taken to be traction-free and either isothermal or insulated. Dispersion relations are derived and expanded asymptotically in the long-wave low-frequency limit. The short-wave limit is discussed. Thermal dissipation is also discussed. The higher modes are investigated numerically. Graphical comparison with a material incompressible at uniform temperature is also presented.

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
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:23
Last Modified:	24 Sep 2024 09:43
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20810
DOI:	10.1177/1081286505059749

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