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Two-temperature theory for a heated semi-infinite solid by a pulsed laser radiation

Zenkour Ashraf M., Abouelregal Ahmed E.

Archives of Thermodynamics

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2020

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Vol. 41, no 2

85--101

EN

In this paper, the two-temperature thermoelasticity model is proposed to a specific problem of a thermoelastic semi-infinite solid. The bounding plane surface of the semi-infinite solid is considered to be under a non-Gaussian laser pulse. Generalized thermoelasticity analysis with dual-phase-lags is taken into account to solve the present problem. Laplace transform and its inversion techniques are applied and an analytical solution as well as its numerical outputs of the field variables are obtained. The coupled theory and other generalized theory with one relaxation time may be derived as special cases. Comparison examples have been made to show the effect of dual-phase-lags, temperature discrepancy, laser-pulse and laser intensity parameters on all felids. An additional comparison is also made with the theory of thermoelasticity at a single temperature.

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A generalized thermoelastic medium subjected to pulsed laser heating via a two-temperature model

Abouelregal Ahmed E., Zenkour Ashraf M.

Journal of Theoretical and Applied Mechanics

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2019

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Vol. 57 nr 3

631--639

EN

This article investigates stress and induced temperature in an isotropic, homogeneous, thermoelastic half-space using a two-temperature generalized thermoelasticity model. The bounding plane surface of the present half-space continuum is subjected to a non-Gaussian laser pulse. Laplace’s transform space is considered to deduce a closed-form solution to the problem. In addition, the inversions of Laplace’s transformations have been carried numerically to obtain field quantities in the transient state. The effects of parameters of two-temperature, laser-pulse and laser intensity are investigated. A concluding remark for the graphical forms of the derived expressions is presented.

3

The fractional effects of a two-temperature generalized thermoelastic semi-infinite solid induced by pulsed laser heating

Zenkour A. M., Abouelregal A. E.

Archives of Mechanics

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2015

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Vol. 67, nr 1

53--73

EN

In this paper, a theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of heat conduction with fractional orders. The obtained general solution is applied to a specific problem of a medium, semi-infinite solid considered to be made of a homogeneous thermoelastic material. The bounding plane surface of the medium is being subjected to a non-Gaussian laser pulse. The medium is assumed initially quiescent and Laplace transforms techniques will be used to obtain the general solution for any set of boundary conditions. The inverse of the Laplace transforms are computed numerically using a method based on Fourier’s expansion techniques. The theories of coupled thermoelasticity and of generalized thermoelasticity with one relaxation time follow as limit cases. Some comparisons have been shown in figures to estimate the effects of the fractional order, temperature discrepancy, laser-pulse and the laser intensity parameters on all the studied fields.