PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Effect of Rotation in Case of 2-D Problem of the Generalized Thermo-viscoelasticity with Two Relaxation Times

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a two-dimensional problem of thermoviscoelasticity with two relaxation times when the entire medium rotates with a uniform angular velocity is studied. The normal mode analysis is used to obtain the exact expressions for the temperature, displacement and thermal stress components. The resulting formulation is applied to the case of a thick plate subjected to a time-dependent heat source on each face. Numerical results are given and illustrated graphically. Comparisons are made with the results predicted by the coupled theory and with the theory of generalized thermoelasticity with two relaxation times in the absence of rotation and for different values of time.
Rocznik
Strony
105--127
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • Science, Department of Mathematics Zagazig Unwersity P.O. Box 44519, Zagazig Egypt
Bibliografia
  • [1] Lord H. and Shulman Y.: A Generalized Dynamical Theory of Thermo-elasticity, J. Mech. Phys. Solid, 15, 299-309, 1967.
  • [2] Green A.E. and Lindsay K.A.: Thermo-elasticity, Journal of Elasticity, 2, 1-7, 1972.
  • [3] Chandrasekharaiah D.S.: Thermo-elasticity with Second Sound: A review, Appl. Mech. Rew, 39, 355-376, 1986.
  • [4] Chandrasekharaiah D.S.: Hyperbolic Thermo elasticity: A review of recent literature, Appl. Mech. Rew, 51, 12, 705-729, 1998.
  • [5] Miiller I.: The Coldness, A Universal Function in Thermo-elastic Solids, Arch. Rat. Mech. Anal., 41, 319, 1971.
  • [6] Green A.E. Laws N.: On the Entropy Production Inequality, Arch. Rat. Mech. Anal, 45, 47, 1972.
  • [7] Dhaliwal R. and Rokne J.: Thermal Shock Problem in Generalized Thermo-elastic, Journal of Thermal Stresses, 12, 259-278, 1989.
  • [8] Ilioushin A.A. and Pobedria B.E.: Fundamentals of the Mathematical Theory of Thermal Viscoelasticity, Nauka, Moscow, in Russian, 1970.
  • [9] Drozdov A.D.: A Constitutive Model in Thermoviscoelasticity, Mechanics Research Communications, 23, 543-548, 1996.
  • [10] Blanchard D.: Existence of solution for a nonlinear system in thermo-visco-elasticity, Mathematical Problems in Mechanics, 1, 1125-1130, 1997.
  • [11] Koltunov M.A.: Creeping and relaxation, Moscow, 1976.
  • [12] Ezzat M.A. and Othman M.I.A.: Electromagneto-thermoelasticity plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Engng Sci., 38, 107-120, 2000.
  • [13] Agarwal V.K.: On Plane Waves in Generalized Thermo-elasticity, Ada Mechanica, 31, 185-198, 1979.
  • [14] Schoenberg M. and Censor D.: Elastic Waves in Rotating Media, Quart, of Appl. Mathematics, 31, 115-125, 1973.
  • [15] Roy Choudhuri S.K.: Effect of rotation and relaxation times on Plane waves in generalized thermo-elasticity, Journal of Elasticity, 15, 59-68, 1985.
  • [16] Othman M.I.A.: Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times, International Journal of Solids and Structures, 41, 2939-2956, 2004.
  • [17] Ezzat M.A., Othman M.I.A. and El-Karamany A.S.: State-space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times, Int. J. Engng Sci., 40. 1251-1274, 2002a.
  • [18] Othman M.I.A., Ezzat M.A., Zaki S.A. and El-Karamany A.S.: Generalized thermo-viscoelastic plane waves with two relaxation times, Int. J. Engng Sci., 40, 1329-1347, 2002.
  • [19] Othman M.I.A.: Generalized electromagneto-thermoviscoelastic in case of 2-D thermal shock problem in a finite conducting medium with one Relaxation Time, Ada Mechanica, 169, 37-51, 2004.
  • [20] Nowacki W: Dynamic Problems of Thermo-elasticity, Noordhoof International, The Netherlands, 1975.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0019-0026
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.