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Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multiphase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The nondimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, micropolar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
Rocznik
Strony
279--309
Opis fizyczny
Bibliogr. 33 poz., rys.
Twórcy
  • Taif University, Department of Mathematics, College of Science, P.O. Box 11099, Taif, 21944, Saudi Arabia
  • Ministry of Higher Education, Zagazig Higher Institute of Engineering & Technology, Zagazig, Egypt
  • Zagazig University, Department of Mathematics, Faculty of Science, P.O. Box 44519, Zagazig, Egypt
Bibliografia
  • [1] Biot M.A.: Thermoelasticity and irreversible thermodynamics. J. Appl. Phys. 7(1956), 3, 240–253.
  • [2] Lord H.W., Shulman Y.: A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Sol. 15(1967), 5, 299–309.
  • [3] Green A.E., Lindsay K.A.: Thermoelasticity. J. Elast. 2(1972), 1, 1–7.
  • [4] Green A.E., Naghdi P.M.: A re-examination of the basic postulates of thermosmechanics. Proc. R. Soc. Lond. A 432(1991), 1885, 171–194.
  • [5] Green A.E., Naghdi P.M.: On undamped heat wave in elastic solids. J. Therm. Stress. 15(1992), 2, 253–264.
  • [6] Green A.E., Naghdi P.M.: Thermoelasticity without energy dissipation. J. Elast. 31(1993), 189–209.
  • [7] Tzou D.Y.: The generalized lagging response in small-scale and high-rate heating. Int. J. Heat Mass Trans. 38(1995), 17, 3231–3240.
  • [8] Tzou D.Y.: A unified field approach for heat conduction from macro- to microscales. J. Heat Trans. 117(1995), 1, 8–16.
  • [9] Roy Choudhuri S.K.: On a thermoelastic three-phase-lag model. J. Therm. Stress. 30(2007), 3, 231–238.
  • [10] Eringen A.C.: Linear theory of micropolar elasticity. ONR Techn. Rep. 29 (School of Aeronautics, Aeronautics and Engineering Science), Purdue Univ., West Lafayett 1965.
  • [11] Eringen A.C.: A unified theory of thermomechanical materials. Int. J. Eng. Sci. 4(1966), 2, 179–202.
  • [12] Eringen A.C.: Linear theory of micropolar elasticity. J. Math. Mech. 15(1966), 6, 909–924.
  • [13] Nowacki W.: Couple stresses in the theory of thermoelasticity III. Bull. Acad. Pol. Sci. Tech. Ser. Sci. Tech. 14(1966), 8, 801–809.
  • [14] Tauchert T.R., Claus Jr. W.D., Ariman T.: The linear theory of micropolar thermo- elasticity. Int. J. Eng. Sci. 6(1968), 1, 36–47.
  • [15] Nowacki W., Olszak W. (Eds.): Micropolar Thermoelasticity. CISM Courses and Lectures 151, Springer-Verlag, Vienna 1974.
  • [16] Dhaliwal R.S., Singh A.: Micropolar thermoelasticity. In: Thermal Stresses II (R.B. Hetnarski, Ed.), Elsevier, Amsterdam 1987.
  • [17] Marin M., Nicaise S.: Existence and stability results for thermoelastic dipolar bodies with double porosity. Continuum Mech. Thermodyn. 28(2016), 6, 1645–1657.
  • [18] Marin M., Ellahi R., Chirila A.: On solutions of Saint–Venant’S problem for elastic dipolar bodies with voids. Carpathian J. Math. 33(2017), 2, 219–232.
  • [19] Othman M.I.A., Hasona W.M., Abed-Elaziz E.M.: Effect of rotation on micropolar generalized thermoelasticity with two temperatures using a dual-phase lag model. Can. J. Phys. 92(2014), 2, 148–159.
  • [20] Othman M.I.A., Hasona W.M., Abed-Elaziz E.M.: The influence of thermal loading due to laser pulse on generalized micropolar thermoelastic solid with comparison of different theories. Multi. Model. Mater. Struct. 10(2014), 3, 328–345.
  • [21] Chandrasekharaiah D.S.: Heat flux dependent micropolar thermoelasticity. Int. J. Eng. Sci. 24(1986), 8, 1389–1395.
  • [22] Othman M.I.A., Hasona W.M., Abed-Elaziz E.M.: Effect of rotation and initial stresses on generalized micropolar thermoelastic medium with three-phase-lag. J. Comput. Theor. Nanosci. 12(2015), 9, 2030–2040.
  • [23] Othman M.I.A., Abed-Elaziz E.M.: Effect of rotation and gravitational on a micropolar magneto-thermoelastic medium with dual-phase-lag model. Microsyst. Tech. 23(2017), 10, 4979–4987.
  • [24] Othman M.I.A., Abd-alla A.N., Abed-Elaziz E.M.: Effect of heat laser pulse on wave propagation of generalized thermoelastic micropolar medium with energy dissipation. Ind. J. Phys. 94(2020), 3, 309–317.
  • [25] Cowin S.C., Nunziato J.W.: Linear elastic materials with voids. J. Elast. 13(1983), 2, 125–147.
  • [26] Othman M.I.A., Abed–Elaziz E.M.: The effect of thermal loading due to laser pulse in generalized thermoelastic medium with voids in dual-phase-lag model. J. Therm. Stress. 38(2015), 9, 1068–1082.
  • [27] Abd-Elaziz E.M., Othman M.I.A.: Effect of Thomson and thermal loading due to laser pulse in a magneto-thermoelastic porous medium with energy dissipation. ZAMM-Z. Angew. Math. Me. 99(2019), 8, 201900079.
  • [28] Abd-Elaziz E.M., Marin M., Othman M.I.A.: On the effect of Thomson and initial stress in a thermos-porous elastic solid under G-N electromagnetic theory. Symmetry. 11(2019), 3, 413–430.
  • [29] Othman M.I.A., Marin M.: Effect of thermal loading due to laser pulse on thermoelastic porous media under G-N theory. Results Phys. 7(2017), 3863–3872.
  • [30] Othman M.I.A, Abd-Elaziz E.M.: Plane waves in a magneto-thermoelastic solids with voids and microtemperatures due to hall current and rotation. Results Phys. 7(2017), 4253–4263.
  • [31] Othman M.I.A., Tantawi R.S., Eraki E.E.M.: Effect of rotation on a semi conducting medium with two-temperature under L–S theory. Arch. Thermodyn. 38(2017), 2, 101–122.
  • [32] Chirita S., Ciarletta M., Tibullo V.: On the thermomechanical consistency of the time differential dual-phase-lag models of heat conduction. Int. J. Heat Mass Tran. 114(2017), 277–285.
  • [33] https://matlab.mathworks.com/ (accessed 17 Feb. 2021)
Uwagi
Work supported by Taif University Researchers Project Number (TURSP-2020/230), Taif University, Taif, Saudi Arabia.
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7a9f9fe9-2d54-4f59-9b18-a9e6f7914ffe
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