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The paper is devoted to study the effect of gravity, magnetic field and laser pulse on the general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space. The formulation is applied under four theories of generalized thermoelasticity: the coupled theory, Lord-Schulman theory, Green-Lindsay theory as well as Green-Naghdi theory. By employing normal mode analysis, the analytical expressions for the displacement components, temperature and the (mechanical and Maxwell’s) stresses distribution are obtained in the physical domain. These expressions are also calculated numerically and corresponding graphs are plotted to illustrate and compare the theoretical results. The effect of gravity, magnetic field and laser pulse are also studied and displayed graphically to show the physical meaning of the phenomena. A comparison has been made between the present results and the results obtained by the others. The results indicate that the effects of magnetic field, laser pulse and gravity field are very pronounced.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
31--66
Opis fizyczny
Bibliogr. 28 poz., wykr., wz.
Twórcy
autor
- Mathematics Department, Faculty of Science, Taif University 888, Saudi Arabia
- Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt
autor
- Mathematics Department, Faculty of Science, Sohag University, Egypt
autor
- Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt
Bibliografia
- [1] Abo-Dahab S.M., Abd-Alla A.M., Kilicman A.: Propagation of p- and T-waves in solid-liquid of thermoelastic media subjected to initial stress and magnetic field in the context of CT-theory. J. Mech. Sci. Technol. 29(2015), 579–591.
- [2] Abo-Dahab S.M., Abd-Alla A.M.: Effects of voids and rotation on plane waves in generalized thermoelasticity. J. Mech. Sci. Technol. 27(2014), 3607–3614.
- [3] 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. Technol. 26(2012), 2815–2823.
- [4] Abd-Alla A.M., Mahmoud S.R.: Analytical solution of wave propagation in a non-homogeneous orthotropic rotating elastic media. J. Mech. Sci. Technol. 26(2012), 917–926.
- [5] Abo-Dahab S.M., Abd-Alla A.M., ELSirafy Ibrahim H.: Effect of gravity field, initial stress and rotation on the S-waves propagation in a non-homogeneous anisotropic medium with magnetic field. J. Mech. Sci. Technol. 28(2014), 3003–3011.
- [6] Abd-Alla A.M., Abo-Dahab S.M., Bayones F.S.: Propagation of Rayleigh waves in magneto-thermo-elastic half-space of a homogeneous orthotropic material under the effect of rotation, initial stress and gravity field. J. Vib. Control 19(2013), 1395–1420.
- [7] Abd-Alla A.M., Mahmoud S.R.: On the problem of radial vibrations in nonhomogeneity isotropic cylinder under influence of initial stress and magnetic field. J. Vib. Control 19(2013), 1283–1293.
- [8] Biot M.A.: Thermoelasticity and irreversible thermodynamics. J. Appl. Phys. 27(1956), 240–253.
- [9] Lord H.W., Shulman Y.A.: Generalized dynamical theory of thennoelasticity. J. Mech. Phys. Solids 15(1967), 299–306.
- [10] Green A.E., Lindsay K.A.: Thermoelasticity. J. Elasticity 2(1972), 1–7.
- [11] Green A.E., Naghdi P.M.: Thermoelasticity without energy dissipation. J. Elasticity 31(1993), 189–208.
- [12] Green A.E., Naghdi P.M.: On undamped heat waves in an elastic solid. J. Therm. Stresses 15(1992), 253–264.
- [13] Bromwich T.J.: On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe. Proc. London Math. Soc. 30(1898), 98–120.
- [14] Ailawalia P., Narah N.S.: Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid. Appl. Math. Mech. 30(2009), 1505–1518.
- [15] Othman M.I.A., Hasona W.M., Eraki E.E.M.: Influence of gravity field and rotation on a generalized thermoelastic medium using a dual-phase-lag model. J. Thermoelasticity 1(2013), 12–22.
- [16] Das S.C., Acharya D.P., Sengupta P.R.: Surface waves in an inhomogeneous elastic medium under the influence of gravity. Rev. Roumaine Sci. Techniq. 37(1992), 539–551.
- [17] Othmanand M.I.A., Hilal M.I.M.: Rotation and gravitational field effect on twotemperature thermoelastic material with voids and temperature dependent properties type III. J. Mech. Sci. . Technol. 29(2015), 3739–3746.
- [18] Abd-Alla A.M., Abo-Dahab S.M., Alotabi Hind A.: Propagation of a thermoelastic wave in a half-space of a homogeneous isotropic material subjected to the effect of gravity field. Arch. Civil and Mech. Eng. 17(2017), 564–573.
- [19] Abd-Alla A.M., Abo-Dahab S.M., Khan A.: Rotational effect on thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order. Struct. Eng. Mech. 61(2017), 221–230.
- [20] Puri P.: Plane waves in thermoelasticity and magneto-thermoelasticity. Int. J. Eng. Sci. 10(1972), 467–477.
- [21] Abo-Dahab S.M., Abd-Alla A.M., Alotabi Hind A.: On influence of thermal stress and magnetic field in thermoelastic half-space without energy dissipation. J. Therm. Stresses 40(2017), 213–230.
- [22] Abd-Alla A.M., Mahmoud S.R.: Magneto-thermoelastic problem in rotating nonhomogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model. Meccanica 45(2010), 451–462.
- [23] Othman M.I.A.,Zidan M.E.M., Hilal M.I.M.: 2-D problem of a rotating thermoelastic solid with voids under thermal loading due to laser pulse and initial stress type III. J. Therm. Stresses 38(2015), 835–853.
- [24] Othman M.I.A.,Hasona W.M., Abd-Elaziz E.M.: The influence of thermal loading due to laser pulse on generalized micropolarthermoelastic solid with comparison of different theories. Multidiscip. Model. Mater. Struct. 10(2014), 328–345.
- [25] Dhaliwal R.S., Singh A.: Dynamic Coupled Thermoelasticity. Hindustan Pub. Corp., New Delhi (1980).
- [26] Marin M.: A temporally evolutionary equation in elasticity of micropolar bodies with voids. Appl. Math. Phys. 60(1998), 3–12.
- [27] Marin M., Stan G.: Weak solutions in Elasticity of dipolar bodies with stretch. Carpathian J. Math. 29(2013), 1, 33–40.
- [28] Marin M., and Baleanu D.: On vibrations in thermoelasticity without energy dissipation for micropolar bodies. Boundary Value Problems 111(2016), 1–19.
Typ dokumentu
Bibliografia
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