This paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. The frequency of free vibration is calculated by discretization based on the Differential Quadrature (DQ) Method. The frequency is a complex value due to the thermoelastic effect that dissipates energy. By separating the real and imaginary parts of fr...

Finding the thermoelastic damping in a vibrating body, for the most general case, involves the simultaneous solving of the three equations for displacements and one equation for temperature (called the heat equation). Since these are a set of coupled nonlinear partial differential equations there is considerable difficulty in solving them, especially for finite geometries. This paper presents a...

In this work, a generalized solution for the thermoelastic plane wave in a semi-infinite solid induced by pulsed laser heating is developed. The solution takes into account the non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, which play significant roles in ultrashort pulsed laser heating. Based on this solution, calculations are conducted to st...

The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict fi...

A fractional Cattaneo model for studying the thermoelastic response a finite thick circular plate with source function is considered. The subjected to radiation-type boundary conditions on upper and lower surfaces, its curved surface kept at zero temperature. theory of integral transformations used solve generalized Cattaneo-type, classical Cattaneo-Vernotte Fourier heat conduction model. analy...

Abstract In this work, we present a two-dimensional problem of thermoelastic and thermo-viscoelastic materials which consists three thick layers with finite thickness infinite extent. These are placed in perfect contact one on top another. The outer surfaces the assumed to be thermally isolated rigidly fixed. There is disturbed variable heat source filling middle layer. Continuity conditions be...

The study of the stress-strain state a thermoelastic hollow cylinder with homogeneous coating is carried out taking into account scale effects. Aifantis' one-parameter gradient model used to for Equilibrium equations and boundary conditions composite are obtained on basis Lagrange variational principle. In comparison classical formulation problem, additional conjugation set moment stresses disp...

In this paper, the vibrations of thin plate in modified couple stress thermoelastic medium by using Kirchhoff- Love plate theory has been investigated. The governing equations of motion and heat conduction equation for Lord Shulman (L-S) [1] theory are written with the help of Kirchhoff- Love plate theory. The thermoelastic damping of micro-beam resonators is analyzed by using the normal mode a...

This article addresses a thermoelastic problem under varying thermal conductivity with and without Kirchhoff’s transforms. The temperature increment, displacement, stresses in an orthotropic material spherical cavities are studied. inner surface of the hole is constrained heated by shock. numerical solutions derived using finite element technique setting generalized thermoelasticity model one d...

When evaluating the safety of steel structures, welding residual stress is used as secondary load and if there any restraint, yield base material for load, regardless size restraint. Of late, members increasing with increase in use high-strength steels, proportion total during evaluation structures increasing. Therefore, it necessary to investigate effect restraint on stress, determine reasonab...