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Mathematics and Mechanics of Solids
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12/4/385    most recent
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Thermoelastic Waves in a Constrained Isotropic Plate: Incompressibility at Uniform Entropy

Valeriy Salnikov

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

Nigel Scott

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

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

This version was published on August 1, 2007

Mathematics and Mechanics of Solids, Vol. 12, No. 4, 385-402 (2007)
DOI: 10.1177/1081286505059749
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