A coupled thermomechanical model is established for multilayered structure subjecting to heat deposition, and specified for a thermal barrier system. The thermomechanical interaction including the C-V (Cattaneo-Vernotte) model of heat conduction law for the homogeneous linear thermoelastic material is developed, in which the Non-Fourier heat conduction law and the influence of stress and strain to heat transfer are taken into account. The variation of thermal stress with the heat wave due to the coupled relationship is quite significant. Under a pulse heat deposition on the surface, a model thermal barrier system's (trilayer structure) transient thermal and stress fields are investigated. The result indicates that a high tensile stress is developed, especially near the interface between ceramic coating and oxide layer, which is the most likely damage region, and the failure mechanism is related to the propagation of the coupled thermalmechanical wave. The maximum stress in the oxide layer is affected by the size of material system.

Thermal effects are important considerations at the initial stage in spark plasma sintering of non-conductive Al2O3 powders. The generalized thermo-elastic theory is introduced to describe the influence of the heat transport and thermal focusing caused by thermal wave propagation within a constrained space and transient time. Simulations show that low sintering temperature can realize high local temperature because of the superposition effect of heat waves. Thus, vacancy concentration differences between the sink and the cross section of the particles increase relative to that observed during pressure-less and hot-pressure sintering. Results show that vacancy concentration differences are significantly improved during spark plasma sintering, thereby decreasing the time required for sintering.

In this paper, the periodic structure material is modeled as the continuum homogeneous micro-polar media subjecting to thermo-mechanical interaction. Meanwhile, a series of equivalent quantities such as the equivalent stress, couple stress, displacement gradient and torsion tensor were defined by the integral forms of the boundary values of the external surface force, moment, displacement and the angular displacement, and were proved to satisfy the equivalence conditions of virtual work. Based on above works, the displacement boundary value problem was established to deduce the equivalent constitutive equation. Assume the representative volume element is composed of the spatial cross-framework, and applying the boundary value problem of displacement on frame structures, the equivalent elastic coefficients, temperature coefficients of equivalent stress and the temperature gradient coefficients of equivalent couple stress are deduced. In addition, the method can also be extended to the stress boundary value problem to deduce the equivalent constitutive equation. The calculations indicate that the equivalent result can be obtained from the two kinds of boundary value problems.