In this article thermoelastic damping in nano-beam resonators is investigated based on nonlocal theory of elasticity and the Euler-Bernoulli beam assumptions. The governing equation of deflection of the beam is obtained from shear and moment resultants and stress–strain relationship of the nonlocal elasticity model and also the governing equations of thermoelastic damping are established by usi...

The purpose of this paper is to explain the thermodynamical and shape memory behaviour in comparison with structural parameters for Zr-based intermetallics a new class of potential shape memory alloys (SMA) for high-temperature applications [I]. Electrical resistivity, structural, shape memory and calorimetric measurements were carried out for the Zr2CuNi Zr,CuCo quasibinary cross-section. It w...

We consider mixed problems for Kirchhoff elastic and thermoelastic systems, subject to boundary control in the clamped Boundary Conditions B.C. (“clamped control”). If w denotes elastic displacement and θ temperature, we establish optimal regularity of {w, wt, wtt} in the elastic case, and of {w, wt, wtt, θ} in the thermoelastic case. Our results complement those presented in (Lagnese and Lions...

Abstract Thermally coupled constitutive relations are generally used to determine material constants and elastic moduli (Young's modulus shear modulus) of solid media. Conventional studies on this issue mainly based the linear temperature dependence moduli, whereas analytical difficulties often encountered in theoretical nonlinear dependence, particularly at high temperatures. This study invest...

Due to the high importance of viscoelastic materials in modern industrial applications, besides intensive popularity piezoelectric smart structures, analyzing their thermoelastic response extreme temperature conditions inevitably becomes very important. Accordingly, this research explores thermoviscoelastic sandwich plates made a functionally-graded Boltzmann core and two surrounding face-layer...

We consider mixed problems for the Kirchhoff elastic and thermoelastic systems, subject to boundary control in the clamped boundary conditions BC (clamped control). If w denotes the elastic displacement and θ the temperature, we establish sharp regularity of {w,wt ,wtt } in the elastic case, and of {w,wt ,wtt ,θ} in the thermoelastic case. Our results complement those by Lagnese and Lions (1988...

The vertical ultrasonic surface displacement generated by a laser-induced, thermoelelastic, rectangular surface strip source is formulated. The main features of this source, ultrasonic rise times comparable to those of the generating light pulse derivatives, and a large amplitude, double-pulsed waveform, are advantageous for ultrasonic spectraland time-domain measurements for nondestructive mat...

A two dimensional deformation due to internal heat source in a thermoelastic solid with microtemperatures under the dependence of modulus of elasticity and thermal conductivity on reference temperature has been studied. A mechanical force of constant magnitude is applied at the free surface of thermoelastic half space. The normal modes technique has been applied to obtain the exact expressions ...

A finite element approximation to the solution of a one-dimensional linear thermoelastic problem with unilateral contact of the Signorini type and heat flux is proposed. An error bound is derived and some numerical experiments are performed.