In this paper, a new theory of generalized micropolar thermoelasticity is derived by using fractional calculus. The generalized heat conduction equation in micropolar thermoelasticity has been modified with two distinct temperatures, conductive temperature and thermodynamic temperature by fractional calculus which depends upon the idea of the RiemannLiouville fractional integral operators. A un...

In this work, we are interested in obtaining existence, uniqueness of the solution and an approximate numerical solution for the model of linear thermoelasticity with moving boundary. We apply finite element method with finite difference for evolution in time to obtain an approximate numerical solution. Some numerical experiments were presented to show the moving boundary’s effects for problems...

In this paper, we study a nonlinear interaction problem between thermoelastic shell and heat-conducting fluid. The is governed by linear thermoelasticity equations encompasses time-dependent domain which filled with fluid the full Navier-Stokes-Fourier system. are fully coupled, giving rise to novel moving boundary fluid-structure involving heat exchange. existence of weak solution obtained com...

The model of the equations of generalized magneto-thermoelasticity in an isotropic elastic medium with two–temperature under the effect initial stress is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under three theories of generalized thermoelasticity: Lord–Shulman, Green–Lindsay, as well as the coupled theory. The Harmonic functi...

Three hnear two-dimensional coupled problems are considered dynamical ihermoelasticity, quasistatical thermoelasticity and consolidation ofclay In thejïrst two cases an équation parabolic with respect to the température T is coupled with a System of équations either hyperbolic or elhptic with respect to the displacement vector u, in the third case an équation elliptic with respect to the pressu...

We investigate the formation of singularities in thermoelasticity with second sound. Transforming into Euler coordinates and combining ideas from Sideris [14], used for compressible fluids, and Tarabek [15], used for small data large time existence in second sound models, we are able to show that there are in general no global smooth solutions for large initial data. In contrast to the situatio...

Formulations for a general theory of thermoelasticity to generate accurate thermal stresses for structural members of aeronautical vehicles were developed in 1954 by Boley. The formulation also provides three normal stresses and a shear stress along the entire length of the beam. The Poisson effect of the lateral and transverse normal stresses on a thermally loaded beam is taken into account in...

The present paper is aimed at studying the effect of gravity on the general model of the equations of the generalized thermomicrostretch for a homogeneous isotropic elastic half-space solid whose surface is subjected to a Mode-I crack problem. The problem is in the context of the Green and Naghdi theory (GN). The normal mode analysis is used to obtain the exact expressions for the displacement ...

This article addresses the thermoelastic interaction due to inclined load on a homogeneous isotropic half-space in context of two-temperature generalized theory of thermoelasticity with dual-phase-lags. It is assumed that the inclined load is a linear combination of both normal and tangential loads. The governing equations are solved by using the normal mode analysis. The variations of the disp...