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

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.