THERMOELASTICITY SOLUTION OF A LAYER USING THE GREEN-NAGHDI MODEL

摘要

The Green—Naghdi (GN) linear theory of thermoelasticity of types Ⅱ (without energy dissipation) and Ⅲ (with energy dissipation) for homogeneous and isotropic materials is employed to study thermal and mechanical waves in a layer. The disturbances are generated by sudden application of temperature to the boundary. The dimensionless forms of the governing equations are solved utilizing the Laplace transform method. Closed-form solutions are obtained for a layer in the Laplace domain, and a numerical inversion of the Laplace transform method is used to obtain the temperature, displacement, and stress fields in the physical time domain. Thermomechanical wave propagation and reflection from the boundary layer are investigated and the influence of the damping parameter on the temperature, displacement, and stress fields in the GN type Ⅲ theory is discussed.