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.
|Number of pages||17|
|Journal||Quarterly Journal of Mechanics and Applied Mathematics|
|Publication status||Published - 2006|