A three-dimensional thermoelastic problem for a half-space without energy dissipation

A three-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a time-dependent heat source on the boundary of the space, which is traction free, is considered in the context of Green and Naghdi model II (thermoelasticity without energy dissipation) of thermoelasticity. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, strain and displacement distributions are represented graphically and discussed.

► In classical uncoupled thermoelasticity, waves propagate with infinite speed.
► Green and Naghdi proposed three models – I, II, III of generalized thermoelasticity.
► In Green–Naghdi model II an undammed wave propagates with finite speed.
► Green–Naghdi model II has a great role in ceramics.
► GN model II can be utilized by mechanical engineers for designing machine elements like boiler tubes.