We consider the steady case of a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a finite element discretization and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments confirm the interest of this approach. Résumé: Nous considérons le cas station...

In view of the control of the thermoelastic thin shells, we consider the problem of modeling a dynamic thin shell with thermal effects, using the coordinate-free intrinsic model introduced by Michel Delfour and Jean-Paul Zolésio (5; 4). The aim of this method is to produce a coordinate free version of the shell equations, in contrast to the classical equations which require explicit representat...

a two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. unified system of equations for classical coupled thermoelasticity, lord-shulman and green-lindsay theory is considered. an exact solut...

The article is concerned with a new nonlocal model based on Eringen’s nonlocal elasticity and generalized thermoelasticity. A study is made of the magneto-thermoelastic waves in an isotropic conducting thermoelastic finite rod subjected to moving heat sources permeated by a primary uniform magnetic field and rotating with a uniform angular velocity. The Laplace transform technique with respect ...

In this study, the analysis of transient thermoelastic response of a functionally graded (FG) non-axisymmetric viscoelastic cylinder is presented. The material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. The finite element (FE) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are ...

This paper is an attempt to determine quasi-static thermal stresses in a thin elliptical plate which is subjected to transient temperature on the top face with zero temperature on the lower face and the homogeneous boundary condition of the third kind on the fixed elliptical curved surface. The solution to conductivity equation is elucidated by employing a classical method. The solution of stre...

The present paper is aimed to study an exact analysis of the free vibrations of a simply supported, homogeneous, transversely isotropic, cylindrical panel based on three-dimensional generalized theories of thermoelastic diffusion. After applying the displacement potential functions in the basic governing equations of generalized thermoelastic diffusion, it is noticed that a purely transverse mo...

Thermoelastic loss is an important energy dissipation mechanisms in resonant systems. A careful analysis of the thermoelastic critical to design low-noise devices for high-precision applications, such as mirrors used gravitational-wave detectors. In this paper, we present analytical solutions due thermoelasticity between different materials that are contact. We find expressions multimaterial co...

An analytical solution is presented for the thermoelastic problem of a half-plane with several cracks under thermo mechanical loading using distributed dislocation technique. The uncoupled quasi-static linear thermoelasticity theory is adopted in which the change in temperature, if any, due to deformations is neglected. The stress field in a half-plane containing thermoelastic dislocation is ob...