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 the paper, a local stationary model of thermoelastic state porous material is constructed. The based on uncoupled boundary value problems for equations heat conduction and thermoelasticity space with two spherical cavities. temperature field determined by constant surfaces cavities, which are considered free forces. problem was solved generalized Fourier method (GFM), paper presents its furt...

The purpose of this paper is to study the effect of presence of fluid within and around a poroelastic circular cylindrical shell of infinite extent on axially symmetric vibrations. The frequency equation each for a pervious and an impervious surface is obtained employing Biot’s theory. Radial vibrations and axially symmetric shear vibrations are uncoupled when the wavenumber is vanished. The pr...

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...

in this study, a cylindrical bolling probe was developed and evaluated for measuring stress in soil under tire traffic. the probe consists of a silicon rubber head for sensing the soil stress, a pvc tube for transferring the liquid pressure, a digital pressure sensor and a syringe for filling the probe with water and adjusting the initial inclusion pressure. a tank with pressurized air was used...