PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Wave propagation in 2D between two elastic media in contact in theory of generalized two temperature thermoelasticity with gravity effect

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The theory of generalized two-temperature thermoelasticity is used to solve the boundary value problems between two elastic media with two different types of temprature under the influence of gravity.The classical dynamical coupled theory and Lord-Şhulman theory are used to obtain the general solution of the governing equations and investigate the effect of surface waves in an isotropic elastic medium subjected to gravity field. The harmonic vibrations method is used to obtain the displacement components, stress tensor and temperature distribution in the considerd physical domain with comparison with the two theories. The obtained analytic solution of the problem is applied for special cases for which the effect of two temperatures is studied. The conductive and dynamical temperatures as well as stress and strain components are shown graphically for a suitable material. Some comparisons are also introduced in the absence and in the presence of gravity, and two-temperature parameter. The differences in the obtained results between the two theories are considered.
Rocznik
Strony
219--243
Opis fizyczny
Bibliogr. 55 poz., rys., wykr., wz.
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
autor
  • Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
  • Basic and Applied Science Department, Arab Academy of Science and Technology, Alexandria, Egypt
Bibliografia
  • [1] Biot M.A.: Thermoclasticity and irreversible thermodynamics. J. Appl. Phys. 27 (1956), 240–253.
  • [2] Lord H.W., Shulman Y.: A generalized dynamical theory of thermolasticity. J. Mech. Phys. Solids. 15(1967), 299–306.
  • [3] Green A.E., Lindsay K.A.: Thermoelasticity. J. Elasticity 2(1972), 1–7.
  • [4] Chandrasekharaiah D.S., Srinath K.S.: Thermoelastic interactions without energy dissipation due to a point heat source. J. Elasticity. 50(1998), 97–108.
  • [5] Chandrasekharaiah D.S., Murthy H.N.: Temperature-rate-dependent thermoelastic interactions due to a line heat source. Acta. Mech. 89(1991), 1–12.
  • [6] Puri P.: Plane waves in thermoelasticity and magneto- thermoelasticity. Int. J. Eng. Sci. 10(1972), 467–476.
  • [7] Nayfeh A., Nemat-Nasser S.: Transient thermoelastic waves in half-space with thermal relaxation. ZAMP 23(1972), 52–68.
  • [8] Roy Choudhuri S.K., Mukhopdhyay S.: Effect of rotation and relaxation on plane waves in generalized thermo-viscoelasticity. Int. J. Math. Math. Sci. 23(2000), 479–505.
  • [9] Ezzat M., Othman M.: Electromagneto-thermoelastic plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Eng. Sci. 38(2000), 107–120.
  • [10] Ezzat M., Othman M., El-Karamany A.S.: Electromagneto- thermoelastic plane waves with thermal relaxation in a medium of perfect conductivity. J. Thermal Stresses. 24(2001), 411–432.
  • [11] Bahar L.Y., Hetnarski R.: In: Proc. 6th Can. Congr. Appl. Mech. University of British Columbia, Vancouver 1977, 17–18.
  • [12] Bahar L.Y., Hetnarski R.: In: Proc. 15th Midwest Mech. Conf. University of Illinois, Chicago Circle. 1977, 161–163.
  • [13] Bahar L.Y. and Hetnarski R.: State Space Approach to Thermoelasticity. J. Thermal Stresses. 1(1978), 135–145.
  • [14] Sherief H.: State space formulation for generalized thermoelasticity with onerelaxation time including heat sources. J. Therm. Stress. 16(1993), 163–176.
  • [15] Sherief H., Anwar M.: A two dimensional generalized thermoelasticity problem for an infinitely long cylinder. J. Therm. Stress. 17(1994), 213–227.
  • [16] Youssef H.M., El-Bary A.A.: Mathematical model for thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity. CMST 12(2006), 2, 165–171.
  • [17] Elsibai Kh., Youssef H.M.: State space formulation to the vibration of gold nanobeam induced by ramp type heating without energy dissipation in femtoseconds scale. J. Therm. Stress. 34(2011), 244–263.
  • [18] Chen P.J., Gurtin M.E.: On a theory of heat conduction involving two temperatures. Zamp. 19(1968), 614–627.
  • [19] Chen P.J., Gurtin M.E., Williams W.O.: A note on non-simple heat conduction. Zamp. 19(1968), 969–970.
  • [20] Chen P.J., Gurtin M.E. and Williams W.O.: On the thermodynamics of nonsimple elastic materials with two temperatures. Zamp. 20(1969), 107–112.
  • [21] Chen J. K., Beraun J.E. and Tham C.L.: Ultrafast thermoelasticity for shortpulse laser heating. Int. J. Eng. Sci. 42(2004), 793–807.
  • [22] Quintanilla T.Q., Tien C.L.: Heat transfer mechanism during short-pulse laser heating of metals. ASME J. Heat Transfer. 115(1993), 835–841.
  • [23] Youssef H.M.: Theory of two-temperature-generalized thermoelasticity. IMA J. Appl. Math. 71(2006), 3, 383–390.
  • [24] Youssef H.M., Al-Lehaibi E.A.: State-space approach of two-temperature Generalized thermoelasticity of one-dimensional problem. Int. J. Solids Struct. 44(2007), 5, 1550–1562.
  • [25] Singh B.: Wave propagation in an incompressible transversely isotropic fibrereinforced elastic media. Arch. Appl. Mech. 77(2007), 253–258.
  • [26] Singh B.: Wave propagation in thermally conducting linear fibre-reinforced composite materials. Arch. Appl. Mech. 75(2005), 513–520.
  • [27] Abd-Alla A.M., NAbd-Alla A.N., Zeidan N.A.: Thermal stresses in a nonhomogeneous orthotropic elastic multilayered cylinder. J. Therm. Stresses 23(2000), 5, 313–428.
  • [28] Abd-Alla A.M., Abo-Dahab S.M.: Effect of rotation and initial stress on an infinite generalized magneto-thermoelastic diffusion body with a spherical cavity. J. Therm. Stresses 35(2012), 10, 892–912.
  • [29] Abouelregal A.E., Abo-Dahab S.M.: Dual phase lag model on magnetothermoelasticity infinite non-homogeneous solid having a spherical cavity. J. Therm. Stresses 35(2012), 9, 820–84.
  • [30] Bromwich T.J.I.A.: On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe. Proc. London Math. Soc. 30(1898), 1, 98–120.
  • [31] Love A.E.H.: Some Problems of Geodynamics. Dover Publishing Inc., New York 1911.
  • [32] De S.N. and Sengupta P.R.: Plane Lamb’s problem under the influence of gravity, Garlands. Beitr.Geophys. 82(1973), 421–426.
  • [33] De S.N., Sengupta P.R.: Influence of gravity on wave propagation in an elastic layer. J. Acoust. Soc. Am. 55(1974), 5, 919–921.
  • [34] De S.N., Sengupta P.R.: Surface waves under the influence of gravity. Garlands. Beitr. Geophys. 85(1976), 311–318.
  • [35] Sengupta P.R., Acharya D.: The influence of gravity on the propagation of waves in a thermoelastic layer. Rev. Roum. Sci. Technol. Mech. Appl. Tome. 24(1979), 395–406.
  • [36] Das S.C., Acharya D.P., Sengupta P.R.: Surface waves in an inhomogeneous elastic medium under the influence of gravity. Rev. Roum. Des. Sci. Tech. 37(1992), 5, 539–551.
  • [37] Abd-alla A.M., Ahmed S.M.: Stonley and Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity. Appl. Math. Comput. 135(2003), 187–200.
  • [38] Abd-alla A.M.: Influences of rotation, magnetic field, initial stress and gravity on Rayleigh waves in a homogeneous orthotropic elastic half-space. Appl. Math. Sci., 4(2010), 2, 91–108.
  • [39] Othman M.I.A., Abo-Dahab S.M., Lotfy Kh.: Gravitational effect and initial stress on generalized magneto-thermo-microstretch elastic solid fordifferent theories. App. Math. Comp. 230(2014), 597–615.
  • [40] Lotfy Kh.: Two temperature generalized magneto-thermoelastic interactions in an elastic medium under three theories. App. Math.Comp. 227(2014), 871–888.
  • [41] Lotfy Kh., Hassan W.: Normal mode method for two-temperature generalized thermoelasticity under thermal shock problem. J. Ther. Str. 37(2014), 5, 45–560.
  • [42] Lotfy Kh., Abo-Dahab S.M.: Two-dimensional problem of two temperature generalized thermoelasticity with normal mode analysis under thermal shock problem. J. Comp. Theo. Nanoscience 12(2015), 8, 1709–1719.
  • [43] Lotfy Kh., Abo-Dahab S.M.: Generalized magneto-thermoelasticity with fractional derivative heat transfer for a rotation of a fibre reinforced thermoelastic. J. Comp. Theo. Nanoscience 12(2015), 8, 1869–1881.
  • [44] Abd-Alla A.M., Hammad H.S., Abo-Dahab S.M.: Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field. Appl. Math. & Comp. 154(2004), 2, 583–597.
  • [45] Abd-Alla A.M., Hammad H.S., Abo-Dahab S.M.:Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field. Appl. Math. Mode. 35(2011), 2981–3000.
  • [46] Abd-Alla A.M., Abo-Dahab S.M, Bayones F.S.: Rayleigh waves in generalized magneto thermo-viscoelastic granular medium under the influence of rotation, gravity field, and initial stress. Math. Prob. Eng. 2011(2011), 1–47.
  • [47] Ahmed S.M., Abo-Dahab S.M.: Influence of initial stress and gravity field on propagation of Rayleigh and Stoneley waves in a thermoelastic orthotropic granular medium. Math. Prob. Eng. 2012 (2012), 1-21.
  • [48] Abd-Alla A.M., Abo-Dahab S.M., Al-Thamali T. A.: Propagation of Rayleigh waves in a rotating orthotropic material elastic half-space under initial stress and gravity. J. Mech. Sci. & Tech. 26(2012), 9, 2815–2823.
  • [49] Lotfy Kh.: A novel model of photothermal diffusion (PTD) for polymer nanocomposite semiconducting of thin circular plate. Physica B: Cond. Matt. 537(2018), 320–328.
  • [50] Sarkar N., Lotfy Kh.: A 2D problem of time-fractional heat order for twotemperature thermoelasticity under hydrostatic initial stress. Mech. Adv. Mat. Stru. 25(2018), 4, 279–285.
  • [51] Abo-Dahab S.M., Lotfy Kh., Gohaly A.: Rotation, magnetic field and stiffness effect on propagation of surface waves in an elastic layer lying over a generalized thermo-elasticdiffusive half-space with imperfect boundary. Math. Prob. Eng. 2015(2015), 1–15.
  • [52] Lotfy Kh.: The elastic wave motions for a photothermal medium of a dualphase-lag model with an internal heat source and gravitational field. Can. J. Phys. 94(2016), 400–409.
  • [53] Lotfy Kh., Abo-Dahab S.M.: Two-temperature plane strain problem in a semiconducting medium under photothermal theory. Wav. Random Complex 27(2017), 1, 67–91.
  • [54] Lotfy Kh.: Photothermal waves for two temperature with a semiconducting medium under using a dual-phase-lag model and hydrostatic initial stress. Wav. Random Complex 27(2017), 3, 482–501.
  • [55] Lotfy Kh.: A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity. Chaos Soliton. Fract. 99(2017), 233–242.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0258e284-a0d2-469f-8ad0-fd2f10496efa
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.