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

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Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Rocznik
Strony
85--101
Opis fizyczny
Bibliogr. 29 poz., wykr., wz.
Twórcy
  • Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
  • Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Bibliografia
  • [1] Danilovskaya V.I.: Thermal stresses in an elastic semi-space due to a sudden heating of its boundary. Prikl. Mat. Mech. 14(1950), 3, 316–324 (in Russian).
  • [2] Eason G., Sneddon I.N.: The dynamic stress produced in elastic bodies by uneven heating. Proc. Roy. Soc. Edm. Soc. A65(1959), 143–176.
  • [3] Nowacki W.: Some dynamic problems of thermoelasticity. Arch. Mech. Stos. 9(1959), 3, 325–334.
  • [4] Dhallwal R.S, Singh A.: Dynamic Coupled Thermoelasticit. Hindustan Publ., New Delhi 1980.
  • [5] Biot M.A.: Thermoelasticity and irreversible thermodynamics. J. Appl. Phys. 27(1956), 3, 240–253.
  • [6] Lord H.W., Shulman Y.: A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15(1967), 5, 299–307.
  • [7] Green A.E., Lindsay K.A.: Thermoelasticity. J. Elast. 2(1972), 1, 1–7.
  • [8] Tzou D.Y.: A unified field theory for heat conduction from macro- to micro-scale. J. Heat Trans.-T. ASME117(1995), 1, 8–16.
  • [9] Zenkour A.M.: Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories. Compos. Struct. 132(2015), 1029–1042.
  • [10] Chen P.J., Gurtin M.E.: On a theory of heat conduction involving two temperatures. Z. Angew. Math. Phys. 19(1968), 4, 614–627.
  • [11] Chen P.J., Gurtin M.E., Williams W.O.: On the thermodynamics of non-simple elastic materials with two temperatures. Z. Angew. Math. Phys. (ZAMP) 20(1969), 1, 107–112.
  • [12] Chen P.J., Gurtin M.E., Williams W.O.: A note on non simple heat conduction. Z. Angew. Math. Phys. (ZAMP) 19(1968), 6, 969–970.
  • [13] Boley B.A., Tolins I.S.: Transient coupled thermoelastic boundary value problems in the half space. J. Appl. Mech.-T. ASME 29(1962), 4, 637–646.
  • [14] Warren W.E., Chen P.J.: Wave propagation in the two temperature theory of thermoelasticity. Acta Mech. 16(1973), 1-2, 21–33.
  • [15] Abbas I.A., Zenkour A.M.: Two-temperature generalized thermoelastic interaction in an infinite fiber-reinforced anisotropic plate containing a circular cavity with two relaxation times. J. Comput. Theor. Nanosci. 11(2014), 1, 1–7.
  • [16] Zenkour A.M., Abouelregal A.E.: State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction. Z. Angew. Math. Phys. (ZAMP) 65(2014), 1, 149–164,
  • [17] Zenkour A.M., Abouelregal A.E.: Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory. Eur. J. Comput. Mech. 23(2014), 1-2, 1–14.
  • [18] Zenkour A.M., Abouelregal A.E.: The effect of two temperatures on a FG nanobeam induced by a sinusoidal pulse heating. Struct. Eng. Mech. 51(2014), 2, 199–214.
  • [19] Carrera E., Abouelregal A.E., Abbas I.A., Zenkour A.M.: Vibrational analysis for an axially moving microbeam with two temperatures. J. Therm. Stresses 38(2015), 6, 569–590.
  • [20] Zenkour A.M.: Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis. Acta Mech. 229(2018), 9, 3671–3692.
  • [21] Wood R.F., White C.W., Young R.T.: Pulsed Laser Processing of Semiconductors, in Semiconductors and Semimetals, Vol. 23. Academic Press, London 1984.
  • [22] Wang X., Xu X.: Thermoelastic wave induced by pulsed laser heating. Appl. Phys. A, 73(2001), 1, 107–114.
  • [23] McDonald F.A.: On the precursor in laser-generated ultrasound waveforms in metals. Appl. Phys. Lett. 56(1990), 3, 230–232.
  • [24] Allam M.N.M., Abouelregal A.E.: The thermoelastic waves induced by pulsed laser and varying heat of non-homogeneous microscale beam resonators. J. Therm. Stresses 37(2014), 4, 455–470.
  • [25] Tzou D.Y.: Macro- to-Microscale Heat Transfer: the Lagging Behavior. Taylor & Francis, Washington, DC 1997.
  • [26] Dhar A.K.: Mechanical shock problem of coupled thermoelasticity in a non-simple material. Indian J. Pure Appl. Math. 16(1985), 2, 174–178.
  • [27] Sun Y., Fang D., Saka M., Soh A.K.: Laser-induced vibrations of micro-beams under different boundary conditions. Int. J. Solids Struct. 45(2008), 7-8, 1993–2013.
  • [28] Durbin F.: Numerical inversion of Laplace transforms: an effective improvement of Dubner and Abate’s method. Comput. J. 17(1973), 4, 371–376.
  • [29] Honig G., Hirdes U.: A method for the numerical inversion of the Laplace transform. J. Comput. Appl. Math. 10 (1984), 1, 113–132.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d3fa3446-8a7e-4a51-b474-ee5b4840a029
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