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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
631--639
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
autor
- Mansoura University, Faculty of Science, Department of Mathematics, Mansoura, Egypt
- Jouf University, College of Science and Arts, Department of Mathematics, El-Qurayat, Saudi Arabia
autor
- King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia
- Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh, Egypt
Bibliografia
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. Chen P.J., Gurtin M.E., 1968, On a theory of heat conduction involving two temperatures, Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), 19, 4, 614-627
- 7. Chen P.J., Gurtin M.E., Williams W.O., 1969, On the thermodynamics of non-simple elastic materials with two temperatures, Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), 20, 1, 107-112
- 8. Chen P.J., Williams W.O., 1968, A note on non-simple heat conduction, Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), 19, 6, 969-970
- 9. Green A.E., Laws N., 1972, On the entropy production inequality, Archive for Rational Mechanics and Analysis, 45, 1, 47-53
- 10. Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1, 1-7
- 11. Kumar R., Kumar A., Singh D., 2015, Thermomechanical interactions due to laser pulse in microstretch thermoelastic medium, Archives of Mechanics, 67, 6, 439-456
- 12. Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 2, 299-307
- 13. Muller I. ¨ , 1971, The coldness, a universal function in thermoelastic bodies, Archive for Rational Mechanics and Analysis, 41, 5, 319-332
- 14. 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
- 15. Tzou D.Y., 1995, A unified field approach for heat conduction from macro- to micro-scale, Journal of Heat Transfer, 117, 1, 8-16
- 16. Tzou D.Y., 1996, Macro-to-Microscale Heat Transfer: the Lagging Behavior, Taylor & Francis, Washington, DC
- 17. Wang X., Xu X., 2001, Thermoelastic wave induced by pulsed laser heating, Applied Physics A, 73, 1, 107-114
- 18. Warren W.E., Chen P.J., 1973, Wave propagation in the two-temperature theory of thermoelasticity, Acta Mechanica, 16, 1-2, 21-33
- 19. 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
- 20. 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
- 21. 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
- 22. 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
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-65482c1c-00a0-4e10-8f5a-6de44ca647be