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The effect of heat laser pulse on generalized thermoelasticity for micropolar medium

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We introduced the coupled theory, Lord-Schulman theory with one relaxation time and Green-Lindsay theory with two relaxation times to study the influence of thermal loading due to laser pulse on generalized micropolar thermoelasticity. The bounding plane surface is heated by a non-Gaussian laser beam with the pulse duration of 8 ps. The methodology applied here is the use of normal mode analysis to solve the problem of thermal loading due to laser pulse to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and microrotation. The distributions of the considered variables are illustrated graphically. Comparisons are made with the results predicted by three theories in the presence of laser pulse and for different values of time.
Rocznik
Strony
797--811
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
  • Department of Mathematics, Faculty of Science, Taif University, P.O. 888, Taif, Saudi Arabia Zagazig University, P.O. Box 44519, Egypt
autor
  • Department of Mathematics, Transilvania University of Brasov, Romania
Bibliografia
  • [1] Eringen, A.C.: Linear theory of micropolar elasticity. J. Appl. Mathematics and Mechanics, 15, 909-923, 1966.
  • [2] Scarpetta, E.: On the fundamental solution in micropolar elasticity. Acta Mechanica, 82, 151-158, 1990.
  • [3] Passarella, F.: Some results in micropolar thermoelasticity, Mechanics Research Communication, 23, 1996, 349-357.
  • [4] Eringen, A. C.: Theory of micropolar elasticity, Chapter 7 of Fracture, Vol. II (Liebowitz H. Ed.), Academic Press, New York, 1968.
  • [5] Tauchert, T. R., Claus, W. D. and Ariman, T.: The linear theory of micropolar thermo- elasticity. Int. J. Eng. Sci., 6, 37-47, 1968.
  • [6] Dost, S. and Tabarrak, B.: Generalised micropolar thermoelasticity. Int. J. Eng. Sci., 16, 173-183, 1978.
  • [7] Chandershekharia, D. S.: Heat flux dependent micropolar thermoelasticity, Int. J. Eng. Sci., 24, 1389-1395, 1986.
  • [8] Othman, M. I. A. and Singh, B.: The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories. Int. J. Solids and Struct., 44, 2007, 2748-2762.
  • [9] Othman, M. I. A. and Song, Y. Q.: The effect of thermal relaxation and magnetic field on generalized micropolar thermoelastic medium, Journal of Applied Mechanics and Technical Physics, 57, 108-116, 2016.
  • [10] Boschi, E. and Iesan, D.: A generalized theory of linear micropolar thermoelasticity, Meccanica, 8, 154-157, 1973.
  • [11] Kumar, R. and Singh, B.: Wave propagation in a micropolar generalized thermoelastic body with stretch, Proc. Indian Acad. Sci., 106, 183-199, 1996.
  • [12] Eringen, A. C.: Micropolar elastic solids with stretch, Ari. Kitabevi Matbassi, 24, 1-18, 1971.
  • [13] Marin, M., Agarwal, R. P. and Othman, M. I. A.: Localization in time of solutions for thermo- elastic micropolar materials with voids, Computers, Materials & Continua, 40, 35-48, 2014.
  • [14] Marin, M., Othman, M. I. A. and Abbas, I. A.: An extension of the domain of influence theorem for anisotropic thermoelastic material with voids, J. Computational and Theoretical Nanoscience, 12, 1594-1598, 2015.
  • [15] Bargmann, H.: Recent developments in the field of thermally induced waves and vibrations. Nuclear Engineering and Design, 27, 372-381, 1974.
  • [16] Boley, B.: In Thermal Stresses. In: D.P.H. Hasselman and R.A. Heller, Eds., 1-11, Plenum Press, placeStateNew York, 1980.
  • [17] Lord, H. and Shulman, Y.: A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-307, 1967.
  • [18] Green, A. E. and Lindsay, K. A.: Thermoelasticity, J. Elasticity, 2, 1-7, 1972.
  • [19] Hussain, M., Al-Qahtani, M. H. and Datta S. K.: Laser-generated thermoelastic waves in an anisotropic infinite plate: exact analysis, J. Thermal Stresses, 31, 569-583, 2008.
  • [20] Othman, M. I. A. and Abd-Elaziz, E. M.: The effect of thermal loading due to laser pulse in generalized thermoelastic medium with voids in dual phase lag model, J. Thermal Stresses, 38, 1068-1082, 2015.
  • [21] Othman, M. I. A., Zidan, M. E. M. and Hilal, M. I. M.: Effect of magnetic field on a rotating thermoelastic medium with voids under thermal loading due to laser pulse with energy dissipation, Can. J. Phys., 92, 1359-1371, 2014.
  • [22] Othman M. I. A. and Edeeb, E. R. M.: 2-D problem of a rotating thermoelastic solid with voids and thermal loading due to laser pulse under three theories, J. Comput. and Theor. Nanosci., 13, 294-305, 2016.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-692c706d-f879-4278-97fa-dca7b7018e48
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