This work discusses the asymptotic behavior of a transmission problem on star-shaped networks of interconnected elastic and thermoelastic rods. Elastic rods are undamped, of conservative nature, while the thermoelastic ones are damped by thermal effects. We analyze the overall decay rate depending of the number of purely elastic components entering on the system and the irrationality properties...

In this paper, a novel domain-independent nonlinear thermoelastic model suitable for aerothermoelastic investigations is generated with which a continuous power transformation frame between the elastic and thermal domains is formed. To achieve this, first, a distinctive power distribution of each domain is defined by means of the Bond graph notation, and the corresponding governing equation for...

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined with the Kirchhoff assumption to obtain a new equation for the flexural vibration of thin plates incorporating thermoelastic loss as a damping term. The thermal...

In this paper, the two-temperature theory is used to examine a novel model that generalizes Moore–Gibson–Thompson (MGT) effect according two-dimensional electronic/thermoelastic deformation. The main equations for semiconductor medium in context of impact rotation are explained terms initial hydrostatic stress at free surface. normal-mode approach derive precise formulae fundamental physical qu...

The paper concerns the thermoelastic problems in a thermosensitive elliptical plate subjected to the activity of a heat source which changes its place on the plate surface with time. The solution of conductivity equation and the corresponding initial and boundary conditions is obtained by employing a new integral transform technique. In addition, the intensities of bending moments, resultant fo...

The present study is concerned with the propagation of Lamb waves in a homogeneous isotropic thermoelastic micropolar solid with two temperatures bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions. The generalized theory of thermoelasticity developed by Lord and Shulman has been used to investigate the problem. The secular equations for symmetric...

In the design of high Quality factor (Q) micro or nano beam resonators, different dissipation mechanisms may have damaging effects on the quality factor. One of the major dissipation mechanisms is the thermoelastic damping (TED) that needs an accurate consideration for prediction. In this paper, thermoelastic damping of the longitudinal vibration of a homogeneous micro beam with both ends clamp...

In this paper we study a one dimensional thermoelastic transmission problem of special string/beam structure: the two components are coupled at an interface (identified to $ 0 $). Either string or beam is supposed thermoelastic, heat flux given by Cattaneo's law instead usual Fourier's law. We prove that energy decay whole system exponential if thermoelastic. When only coupling decays polynomia...

This paper studies the generalized magneto-thermoelastic problem with microtemperatures, voids taking into account initial stress and modified Ohm’s law under three theories. The analytical solution is obtained by normal modes expressions for micro temperature, temperature distribution, displacement, components of heat flux, change in volume fraction field as well are calculated. effect thermal...