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

Salnikov, Valeriy and Scott, Nigel (2006) Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature. Quarterly Journal of Mechanics and Applied Mathematics, 59 (3). pp. 359-375. ISSN 0033-5614

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Abstract

Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform temperature. This is an example of a deformation–temperature constraint, also known as a strain–temperature 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 also discussed. The higher modes are investigated numerically. Graphical comparison with the unconstrained material is also presented.

Item Type:	Article
Faculty \ School:	Faculty of Science 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:	01 Aug 2006
Last Modified:	09 Sep 2024 03:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/17257
DOI:	10.1093/qjmam/hbl006

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