In this paper, the closed form analytical expressions for the displacement field due to a cylindrical inclusion in a thermoelastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal displacement field is generated due to differences in the coefficients of linear therma...

We perform the analytic investigation of stress-strain state a functionally graded cylindrical shell finite length heated by two-dimensional temperature field. The properties material are regarded as functions thickness coordinate. In our investigations, we use equations refined theory shells that takes into account deformation transverse shear and normal deformation. heat-conduction equation i...

this article gives an approach to predict the springbackward phenomena during post solidification cooling in a functionally graded hybrid composite cylindrical shell with transverse isotropic structure. here the material properties are considered to be given with a general parabolic power-law function. during theoretical analysis, appropriate transform is introduced in the equilibrium equation ...

Most thermal stress analyses assume that the determination of the temperature field is uncoupled from that of the stress and displacement fields, while assuming that the stress and displacement fields depend on the temperature field. This semi-coupled approach to thermoelasticity is not entirely consistent. In this paper the governing equations for the fully coupled theory of thermoelasticity a...

In this work, we apply the fractional order theory of thermoelasticity to a 1D problem of an infinitely long cylindrical cavity. Laplace transform techniques are used to solve the problem. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.

Abstract A fast approximation method to three dimensional equations in quasi-static uncoupled thermoelasticity is proposed. We approximate the density via Gaussian approximating functions introduced approximations. In this way action of integral operators on such presented a simple analytical form. If has separated representation, problem reduced computation one-dimensional integrals which admi...

In the present paper is concerned with study of thermoelastic interaction in an infinite KelvinVoigt type viscoelastic, thermally conducting solid bordered with viscous liquid half-spaces/layers of varying temperature. Complex secular equations in closed and isolated mathematical conditions for Rayleigh wave propagation in completely separate terms are derived. The results for coupled and uncou...