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

Thermoelastic waves are investigated which propagate throughan isotropic plate which is constrained to be incompressibleat uniform temperature. This is an example of a deformation–temperatureconstraint, also known as a strain–temperature constraint.The boundaries of the plate are taken to be traction free andeither isothermal or insulated. Dispersion relations are derivedand expanded asymptotically in the long-wave low-frequency limit.The short-wave limit is also discussed. The higher modes areinvestigated numerically. Graphical comparison with the unconstrainedmaterial is also presented.