A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

Youssef, Hamdy M.

doi:10.2140/jomms.2009.4.1637

Cited by 21 publications

(8 citation statements)

References 15 publications

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“…In other words, the value of the position x = υt is a critical position because it separates between the existence of the heat source and its disappearance. The effects of the moving heat source of the current results agree with the results in (Youssef [22][23][24]; Youssef, Al-Lehaibi [25]). Figures 6-9 represent the temperature increment, stress, strain, and displacement component u x distributions, respectively, for a wide range of heat source speed υ and a wide range of distance x when y = z = 0.5 to illustrate the effect of the heat source speed on all the studied functions.…”

Section: Numerical Results and Discussionsupporting

confidence: 88%

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

Youssef

Al-Lehaibi

2019

Bound Value Probl

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This paper deals with a new mathematical model of three-dimensional generalized thermoelasticity which has been improved using Lord-Shulman theory. The governing equations on non-dimensional forms have been applied to a three-dimensional half-space subjected to a rectangular moving heat source and traction-free surface by using the Laplace and double Fourier transform techniques. The inverses of the double Fourier and Laplace transforms have been calculated numerically by applying the complex formula of inversion of the transform by of the Fourier expansion method. The numerical results of the temperature increment, strain, stress, and displacement distributions have been represented in graphs for various values of the heat source speed parameter to show its effect on the thermo-mechanical waves. The heat source speed parameter leads to significant effects on both the thermal and mechanical waves.

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Section: Numerical Results and Discussionsupporting

confidence: 88%

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

Youssef

Al-Lehaibi

2019

Bound Value Probl

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“…The two-dimensional heat conduction equation based on Fourier's law is [21] where Q(x, z, t) denotes the heat energy absorbed by the beam, which is expressed as [22,23] Q…”

Section: Basic Formulations For This Problemmentioning

confidence: 99%

An Exact Analytical Solution for Thermoelastic Response of Clamped Beams Subjected to a Movable Laser Pulse

Yang

Liu

et al. 2018

Symmetry

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The thermoelastic dynamic response of a clamped Bernoulli beam was studied when it was irradiated by a movable, temporally non-Gaussian, laser pulse. Both the energy absorption depth and the time decaying effects were considered. The temperature distribution, deflection, vibration acceleration, and stress of the beam were derived analytically, and the variations of them with time and space were illustrated. It was shown that the vibration frequency is independent of the scanning speed of the laser pulse. It is important to notice that, although the deflection of the beam is small, high vibration acceleration can be induced in microbeams, which is important for failure and fracture of the beam. Moreover, compressive stress is induced in the beam, but the importance of temperature-induced stress and deformation-induced stress may be different according to the duration time and moving speed of the laser pulse.

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“…Youssef 3 modified this theory and introduced the model of two-temperature generalized thermoelasticity. Youssef with other researchers have used that model in many applications and researches 4 – 6 . Youssef and El-Bary 7 introduced the evidence of the two-temperature generalized thermoelasticity model does not provide a finite speed of propagating the thermal waves.…”

Section: Introductionmentioning

confidence: 99%

Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

Youssef

El-Bary

Al-Lehaibi

2021

Sci Rep

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This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).

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A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

Cited by 21 publications

References 15 publications

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

An Exact Analytical Solution for Thermoelastic Response of Clamped Beams Subjected to a Movable Laser Pulse

Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

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