The effect of rotation and thermal shock on a perfect conducting elastic half-space in generalized magneto-thermoelasticity with two relaxation times

• Autorzy: Othman M. I. A.
• Języki publikacji: EN

Abstrakty

EN

The propagation of electromagneto-thermoelastic disturbances produced by a thermal shock in a perfectly conducting elastic half-space when the entire elastic medium is rotating with a uniform angular velocity is investigated. The problem is in the context of the Green and Lindsay's generalized thermoelasticity with two relaxation times. There acts an initial magnetic field parallel to the plane boundary of the half-space. The medium deformed because of thermal shock, and due to the application of the magnetic field. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the considered variables are represented graphically. From the distributions, it can be found the wave type heat propagation in the medium. This indicates that the generalized heat conduction mechanism is completely different from the classic Fourier's in essence. In generalized thermoelasticity theory heat propagates as a wave with finite velocity instead of infinite velocity in medium. Comparisons are made wit h the results predicted by the coupled theory in present and absent rotation.

Słowa kluczowe

EN

thermal relaxation times; generalized thermoelasticity theory; rotation effect; normal mode analysis; electromagneto-thermoelastic couple

PL

czas relaksacji; uogólniona termosprężystość; efekt rotacji

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2010
• Tom: Vol. 14, nr 1
• Strony: 31--55
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Othman M. I. A.

• Faculty of Science, Department of Mathematics Zagazig University, P.O. Box 44519, Zagazig Egypt

Bibliografia

• [1] Lord, H. and Shulman, Y.: A Generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solid, 15, 299-309, 1967.
• [2] Puri, P.: Plane waves in thermoelasticity and magneto-elasticity, Int. J. Engng Sci., 10, 467-476, 1972.
• [3] Nayfeh, A.H. and Nasser, S.N.: Thermoplastic waves in solids with thermal relaxation, Acta Mech., 12, 53-69, 1971.
• [4] Agarwal, V.K.: On surface waves in generalized thermoelasticity, J. Elasticity, 8, 171-177, 1978.
• [5] Ezzat, M.A. and Othman, M.I.A.: State-space approach to generalized magnetothermo-elasticity with thermal relaxation in a medium of perfect conductivity, J. Thermal Stresses, 25, 409-429, 2002.
• [6] Othman, M.LA.: Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two-dimensional generalized thermoelasticity, J. Thermal Stresses, 25, 1027-1045, 2002.
• [7] Othman, M.LA.: Generalized thermo-elasticity plane waves in rotating media with thermal relaxation under the temperature dependence properties, Mechanics and Mechanical Engineering, 9, 89-110, 2005.
• [8] Othman, M.LA.: Generalized electro-magneto-thermoviscoelastic in case of 2-D thermal shock problem in a finite conducting medium with one relaxation time, Acta Mechanica, 169, 37-51, 2004.
• [9] Green, A.E. and Lindsay, K.A.: Thermoelasticity, J. Elast., 2, 1-7, 1972.
• [10] Agarwal, V.K.: On plane waves in generalized thermoelasticity, Acta Mech., 31, 185-198, 1979.
• [11] Agarwal, V.K.: On electromagneto-thermoelastic plane waves, Acta Mech., 10, 181-191, 1967.
• [12] Schoenberg, M. and Censor, D.: Elastic waves in rotating media, Quart, Quart of Applied Math., 31, 115-125, 1973.
• [13] Roy Choudhuri, S.K. and Chatterjee Roy, G.: Temperature-rate dependent magneto-thermoelastic waves in a finitely conducting elastic half-space, Computers Math. Applic., 19, 85-93, 1990.
• [14] Ezzat, M.A. and Othman, M.LA.: Eleetromagneto-thermoelastic plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Engng. Sci., 38, 107-120, 2000.
• [15] Ezzat, M.A., Othman, M.LA. and Samaan, A.A.: State space approach to two-dimensional electromagneto-thermoelastic problem with two relaxation times, J. Thermal Stresses,39, 1383-1404, 2001.
• [16] Dhaliwal, R. and Rokne, J.: Thermal shock problem in generalized thermoelastic, J. Thermal Stresses, 12, 259-279, 1989.
• [17] Othman, M.LA.: Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times, Int. J. Solids and Structures, 41, 2939-2956, 2004.
• [18] Nowacki, W.: Dynamic problem of thermoelasticity, Noordhoff International the Netherlands, p. 399, 1975.
• [19] Sherief, H.H.: Problem in electromagneto thermoelasticity for an infinitely long solid conducting circular cylinder with thermal relaxation, Int. J. Engng. Sci., 32, 1137-1149, 1994.