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Effect of inclined load on micropolar theroelastic medium possessing cubic symmetry with energy dissipation

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of the micropolar thermoelastic medium with (G-N) theory of types II (without energy dissipation) and type III (with energy dissipation) under the effect of the inclined load was investigated. The normal mode analysis is used to obtain the solution of the physical quantities. Comparisons are made between the results predicted by the (G-N) theory of type II and type III in different values of the angle of inclination.
Rocznik
Strony
783--796
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
  • Department of Mathematics, Faculty of Science, Taif University, P.O. 888, Taif, Saudi Arabia Zagazig University, P.O. Box 44519, Egypt
  • Department of Mathematics, Faculty of Science, Taif University, P.O. 888, Taif, Saudi Arabia South Valley University, Qena 83523, Egypt
  • Department of Mathematics, Faculty of Science, Taif University, P.O. 888, Taif, Saudi Arabia
Bibliografia
  • [1] Eringen, A. C.: Linear theory of micropolar elasticity. Journal of Mathematics and Mechanics, 15, 909-923, 1966.
  • [2] Eringen, A. C.: Theory of micropolar elasticity, Chapter 7 of Fracture, Vol. II (Liebowitz H. Ed.), Academic Press, New York, 1968.
  • [3] Eringen, A. C.: Foundations of micropolar thermoelasticity, International Center for Mechanical Science, Courses and Lectures, No. 23, Springer, Berlin, 1970.
  • [4] Iesan, D.: Some applications of micropolar mechanics to earthquake problems. International Journal of Engineering Science, 19, 6, 855-864, 1981.
  • [5] Nowacki, W.: Couple stress in the theory of thermoelasticity. National Committee on Theoretical and Applied Mechanics, 259-278, 1966.
  • [6] Eringen, A. C.: Balance laws of micromorphic continua. International Journal of Engineering Science, 30, 6, 805-810, 1992.
  • [7] Othman, M. I. A., Hasona, W. M. and Abd-Elaziz, E. M.: Effect of rotation and initial stress on generalized micropolar thermoelastic medium with three-phaselag, Journal of Computational and Theoretical Nanoscience, 12, 9, 2030-2040, 2015.
  • [8] Othman, M.I.A., Hasona, W.M. and Abd-Elaziz, E. M.: The influence of thermal loading due to laser pulse on generalized micropolar thermoelastic solid with comparison of different theories, Multidiscipline Modeling in Materialsand Structures, 10, 3, 328-345, 2014.
  • [9] Othman, M. I. A. and Singh, B.: The effect of rotation on generalized micropolar thermo- elasticity for a half-space under five theories, International Journal of Solids and Structuctures, 44, 9, 2748-2762, 2007.
  • [10] Othman, M. I. A., Hasona, W. M. and Abd-Elaziz, E. M.: Effect of rotation on micropolar generalized thermoelasticity with two temperatures using a dual-phaselag model, Canadian Journal of Physics, 92, 2, 149-158, 2013.
  • [11] Abbas, I. A. and Kumar, R.: Deformation due to thermal source in micropolar generalized thermoelastic half-space by finite element method. Journal of Computational and Theoretical Nanoscience, 11, 1, 185-190, 2014.
  • [12] Othman, M. I. A. and Song, Y. Q.: Effect of the thermal relaxation and magnetic field on generalized micropolar thermoelasticity. Journal of Applied Mechanics and Technechal Physics, 57, 1, 108-116, 2016.
  • [13] Green, A.E. and Naghdi, P.M.: A re-examination of the basic postulates of thermo- mechanics. Proceedings of the Royal Society of CityplaceLondon A, 432, 171-194, 1991.
  • [14] Green, A. E. and Naghdi, P. M.: On undamped heat waves in an elastic solid. Journal of Thermal Stresses, 15, 253-264, 1992.
  • [15] Green, A. E. and Naghdi, P. M.: Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-209, 1993.
  • [16] Othman, M. I. A. and Atwa, S. Y.: Two-dimensional problem of generalized thermo- microstretch elastic solid under Green-Naghdi theory, Journal of Computational and Theoretical Nanoscience, 12, 9, 2579-2586, 2015.
  • [17] Othman, M. I. A., Zidan, M. E. M. and Hilal, M. I. M.: The influence of gravitational field and rotation on thermoelastic solid with voids under Green Naghdi theory, Journal of Physics, 2, 3, 22-34, 2013.
  • [18] Othman, M. I. A., Zidan, M. E. M. and Hilal, M. I. M.: Effect of gravitational field and temperature dependent properties on two-temperature thermoelastic medium with voids under G-N theory, Computers, Materials and Continua, 40, 3, 179-201, 2014.
  • [19] Othman, M. I. A. and Atwa, S. Y.: Effect of rotation on a fiber-reinforced thermoelastic under Green-Naghdi theory and influence of gravity, Meccanica, 49, 1, 23-36, 2014.
  • [20] Othman, M. I. A.: Generalized magneto-thermo-microstretch elastic solid under gravitational effect with energy dissipation, Multidiscipline Modeling in Materials and Structures, 9, 2, 145-176, 2013.
  • [21] Othman, M. I. A. and Atwa, S. Y.: 2-D problem of a mode-I crack for a generalized thermoelasticity under Green-Naghdi theory, Meccanica, 48(6), 2013, 1543-1551.
  • [22] Kumar, R. and Aliwalia, P.: Interactions due to inclined load at micropolar elastic half- space with voids, International Journal of Applied Mechanics and Engineering, 10, 1, 109-122, 2005.
  • [23] Kumar, R. and Gupta, R. R.: Deformation due to inclined load in an orthotropic micropolar thermoelastic medium with two relaxation times, International Journal of Applied Mathematics & Information Science, 4, 3, 2010, 413-428.
  • [24] Minagawa, S., Arakawa, K. and Yamada, M.: Dispersion curves for waves in a cubic micropolar medium with reference to estimations of the material constants for diamond, Bulletin of JSME., 24, 187, 22-28, 1981.
  • [25] Kumar, R. and Rani, L.: Elastodynamics of time harmonic sources in a thermally conducting cubic crystal, International Journal of Applied Mechanics and Engineering, 8, 4, 637-650, 2003.
  • [26] Abd-Alla, A. M. and Abo-Dahab, S. M.: Time-harmonic sources in a generalized magneto-thermo-viscoelastic continuum with and without energy dissipation, Applied Mathematical Modelling, 33, 2388-2402, 2009.
  • [27] Abo-Dahab, S. M. and Singh, B.: Rotational and voids effects on the reflection of P-waves from stress-free surface of an elastic half-space under magnetic field, initial stress and without energy dissipation, Applied Mathematical Modelling, 37, 8999-9011, 2013.
  • [28] Elsirafy, I. H., Abo-Dahab, S. M. and Singh, B.: Effects of voids and rotation on P-wave in a thermoelastic half-space under Green-Naghdi theory, Mathematics and Mechanics of Solids, 17, 3, 243-253, 2011.
  • [29] Othman, M. I. A., Abo-Dahab, S. M. and Lotfy, K.: Gravitational effect and initial stress on generalized magneto-thermo-microstretch elastic solid for different theories, Applied Mathematics and Computation, 230, 597-615, 2014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff41d922-50ee-46de-b898-716003d9c2d2
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