Abstract
In this paper, the theory of coupled thermoelasticity in three dimension is employed for triclinic half-space, subjected to time dependent heat source on the boundary of the space which is traction free and is considered in the context of Green-Naghdi model of type II (thermoelasticity without energy dissipation) of generalized thermoelasticity. Normal mode analysis is used to the non-dimensional coupled equations. Finally, the resulting equations are written in the form of a vector-matrix differential equation which is then solved by eigenvalue approach. Numerical results for the temperature, thermal stresses, and displacements are presented graphically and analyzed. Mathematical results shown in thermoelastic curves were supplemented by tectonic movements of elastic lithospheric plates.
Highlights
The classical uncoupled theory of thermoelasticity, predicts two phenomena not consistent with experimental results
Othman et al [32] studied the effect of rotation on three dimensional generalized thermoelasticity in the context of Green-Nagdhi type II for homogeneous isotropic elastic half space
For the solution of the vector-matrix differential Eq (25), we apply the method of eigenvalue approach as in Santra et al [35]
Summary
The classical uncoupled theory of thermoelasticity, predicts two phenomena not consistent with experimental results. Green and Naghdi [7,8,9] (G-N model) proposed another three generalized theories of thermoelasticity by introducing “thermal displacement gradient” among the independent constitutive variables and named as Type I, II and III Among these models, type I [7] is same as classical heat equation which is based on Fourier’s law where the theories are linearized. Othman et al [32] studied the effect of rotation on three dimensional generalized thermoelasticity in the context of Green-Nagdhi type II for homogeneous isotropic elastic half space.
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