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The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory

Othman M. I., Abouelregal A. E. E.

Archives of Thermodynamics

2017

Vol. 38, no. 3

77--99

The purpose of this paper is to study the thermoviscoelastic interactions in a homogeneous, isotropic semi-infinite solid under two-temperature theory with heat source. The Kelvin-Voigt model of linear viscoelasticity which describes the viscoelastic nature of the material is used. The bounding plane surface of the medium is subjected to a non-Gaussian laser pulse. The generalized thermoelasticity theory with dual phase lags model is used to solve this problem. Laplace transform technique is used to obtain the general solution for a suitable set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the phase lags, viscosity, temperature discrepancy, laser-pulse and the laser intensity parameters on all the studied fields. A comparison was also made with the results obtained in the case of one temperature thermoelasticity theory.

'One-shot' identification of laser intensity in a process of thin metal film heating

Majchrzak E., Mochnacki B., Poteralska J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2009

Vol. 8, nr 1

131-136

Thermal interactions between thin metal film and external laser pulse are considered. In particular on a basis of the knowledge of surface temperature distribution the laser intensity is estimated. The problem is described by dual-phase-lag model in which two relaxation parameters (relaxation time and thermalization time) are introduced in order to take into account the microscopic thermal interactions. The laser action is taken into account by additional term (source function) supplemented the basic energy equation. In the paper the mathematical model of the thin film heating process is discussed, the inverse problem is formulated and also the example of computations is presented.