A generalized thermoelastic medium subjected to pulsed laser heating via a two-temperature model
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Mansoura University, Faculty of Science, Department of Mathematics, Mansoura, Egypt
Jouf University, College of Science and Arts, Department of Mathematics, El-Qurayat, Saudi Arabia
King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia
Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh, Egypt
Submission date: 2017-02-12
Acceptance date: 2019-03-07
Online publication date: 2019-07-15
Publication date: 2019-07-15
Journal of Theoretical and Applied Mechanics 2019;57(3):631–639
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.
Abouelregal A.E., Zenkour A.M., 2017, Two-temperature thermoelastic surface waves in micropolar thermoelastic media via dual-phase-lag model, Advances in Aircraft and Spacecraft Science, 4, 6, 711-727.
Allam M.N.M., Tayel I.M., 2017, Generalized thermoelastic functionally graded half space under surface absorption of a laser radiation, Journal of Theoretical and Applied Mechanics, 55, 1, 155-165.
Al-Lehaibi E.A.N., 2016, Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to time exponentially decaying laser pulse, International Journal of Acoustics and Vibration, 21, 2, 222-229.
Boley B.A., Tolins I.S., 1962, Transient coupled thermoelastic boundary value problems in the half-space, Journal of Applied Mechanics, 29, 4, 637-646.
Chen J.K., Beraun J.E., Tham C.L., 2004, Ultrafast thermoelasticity for short-pulse laser heating, International Journal of Engineering Science, 42, 8-9, 793-807.
Chen P.J., Gurtin M.E., 1968, On a theory of heat conduction involving two temperatures, Zeitschrift füür angewandte Mathematik und Physik (ZAMP), 19, 4, 614-627.
Chen P.J., Gurtin M.E., Williams W.O., 1969, On the thermodynamics of non-simple elastic materials with two temperatures, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 20, 1, 107-112.
Chen P.J., Williams W.O., 1968, A note on non-simple heat conduction, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 19, 6, 969-970.
Green A.E., Laws N., 1972, On the entropy production inequality, Archive for Rational Mechanics and Analysis, 45, 1, 47-53.
Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1, 1-7.
Kumar R., Kumar A., Singh D., 2015, Thermomechanical interactions due to laser pulse in microstretch thermoelastic medium, Archives of Mechanics, 67, 6, 439-456.
Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 2, 299-307.
Müller I., 1971, The coldness, a universal function in thermoelastic bodies, Archive for Rational Mechanics and Analysis, 41, 5, 319-332.
Sun Y., Fang D., Saka M., Soh A.K., 2008, Laser-induced vibrations of micro-beams under different boundary conditions, International Journal of Solids and Structures, 45, 7-8, 1993-2013.
Tzou D.Y., 1995, A unified field approach for heat conduction from macro- to micro-scale, Journal of Heat Transfer, 117, 1, 8-16.
Tzou D.Y., 1996, Macro-to-Microscale Heat Transfer: the Lagging Behavior, Taylor & Francis, Washington, DC.
Wang X., Xu X., 2001, Thermoelastic wave induced by pulsed laser heating, Applied Physics A, 73, 1, 107-114.
Warren W.E., Chen P.J., 1973, Wave propagation in the two-temperature theory of thermoelasticity, Acta Mechanica, 16, 1-2, 21-33.
Welsh L.P., Tuchman J.A., Herman I.P., 1988, The importance of thermal stresses and strains induced in laser processing with focused Gaussian beams, Journal of Applied Physics, 64, 6274, 1-13.
Zenkour A.M., 2018, Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis, Acta Mechanica, 229, 9, 3671-3692.
Zenkour A.M., Abouelregal A.E., 2014a, The effect of two temperatures on a functionally graded nanobeam induced by a sinusoidal pulse heating, Structural Engineering and Mechanics, 51, 2, 199-214.
Zenkour A.M., Abouelregal A.E., 2014b, Vibration of FG nanobeams induced by sinusoidal pulse heating via a nonlocal thermoelastic model, Acta Mechanica, 225, 12, 3409-3421.