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

Valerij V. Salnikov, Nigel Scott

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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.
Original languageEnglish
Pages (from-to)385-402
Number of pages18
JournalMathematics and Mechanics of Solids
Issue number4
Publication statusPublished - 2007

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