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Mathematics and Mechanics of Solids
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Article

Thermoelastic Waves in a Constrained Isotropic Plate: Incompressibility at Uniform Entropy

Valeriy Salnikov* Nigel Scott

School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK

* To whom correspondence should be addressed.


  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.

Key Words: Thermoelasticity, plates, waves, asymptotic analysis, constraints

First published on November 23, 2005, doi:10.1177/1081286505059749

Mathematics and Mechanics of Solids 2007;12:385.

A more recent version of this article appeared on August 1, 2007

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