Chen, "Wave propagation in the two temperature theory of thermoelasticity
," Acta Mechanica, vol.
Due to the complicated nature of the governing equations of the generalized thermoelasticity
Fibre-reinforced theory, the work done in this field is unfortunately limited in number.
Day, "A decreasing property of solutions of parabolic equations with applications to thermoelasticity
," Quarterly of Applied Mathematics, vol.
In a survey article, Ezzat  has discussed the developments in the theory of thermoelasticity
and fluid mechanics.
Biot formulated the theory of coupled thermoelasticity
to eliminate the paradox inherent in the classical uncoupled theory that elastic changes have no effect on temperature.
For instance, in standard thermoelasticity
, we select W = [bar.W](F; [theta]) as being the free energy.
Burchuladze, Three- Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity
, North-Holland Publishing Company, Amsterdam, The Netherlands, 1979.
Theoretical noteworthy results also in the nonlinear range have recently contributed to several engineering applications, such as beam and plate theories [1-3], fracture mechanics [4-8], hyperelastic media [9-11], concrete systems [12-16], nonlocal models [17-19], homogenization [20-22], thermoelasticity
[23-25], nanostructures [26-30], and limit analysis [31-33].
problem of two collinear cracks embedded in an orthotropic solid has been considered by Chen and Zhang .
On the other hand, integral boundary conditions have various applications in applied fields such as chemical engineering, underground water flow, blood flow problems, thermoelasticity
, population dynamics, and finite element method approaches with the minimization of constitutive error.
A literature review reveals that many generalized theories of thermoelasticity
have been developed to study the behavior of thermoelastic structures.
By a solution of the mixed initial-boundary value problem for the thermoelasticity
of micropolar bodies with voids, in the cylinder [[OMEGA].sub.0] = B x [0, [infinity]) we mean an ordered array ([u.sub.i], [[phi].sub.i], [sigma], [theta]) which satisfies the equations (4)-(6) for all (x, t) [member of] [[OMEGA].sub.0], the boundary conditions (36) and the initial conditions (35).