Generalized electro-magneto-thermoelasticity in case of thermal shock plane waves for a finite conducting half-space 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 finitely conducting elastic half-space is investigated. The formulation is applied to two-dimensional equations of generalized thermoelasticity Green and Lindsay's theory 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, there result an induced magnetic and an induced electric field in the medium. The Maxwell's equations are formulated and the electromagneto-thermoelastic coupled governing equations are established. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the considered variables are represented graphically for different values of times. 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.

Słowa kluczowe

EN

generalized electro-magneto-thermoelasticity; thermal shock problem; finite conductivity; normal mode analysis; two relaxation times

PL

uogólniona elektro-magneto-termosprężystość; szok termiczny; przewodność skończona; czas relaksacji

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2010
• Tom: Vol. 14, nr 1
• Strony: 5--30
• Opis fizyczny: Bibliogr. 18 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 wit h thermal relaxation, Acta Mech., 12, 53-69, 1971.
• [4] Othman, M.I.A.: 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.
• [5] Agarwal, V.K.: On surface waves in generalized thermoelasticity, J. Elasticity, 8, 171-177, 1978.
• [6] Nayfeh, A.H. and Nasser, S.N.: Electromagneto-thermoelastic plane waves in solids with thermal relaxation, J. Appl. Mech., 113, 108-113, 1972.
• [7] Green, A.E. and Lindsay, K.A.: Thermoelasticity, J. Elast., 2, 1-7, 1972.
• [8] Agarwal, V.K.: On plane waves in generalized thermoelasticity, Acta Mech., 31, 185-198, 1971.
• [9] Agarwal, V.K.: On electromagneto-thermoelastic plane waves, Acta Mech., 10, 181-191, 1967.
• [10] 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.
• [11] Paria, G.: Magneto-elasticity and magneto-thermoelasticity, Adv. Appl. Mech., 10, 73, 1967.
• [12] Roy Choudhuri, S.K.: Temperature-rate dependent magneto-thermoelastic waves in a finitely conducting elastic half-space, Computers Math. Applic., 19, 85-93, 1990.
• [13] Ezzat, M.A. and Othman, M.LA.: Electromagneto-thermoelastic plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Engng. Sci., 38, 107-120, 2000.
• [14] 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.
• [15] Dhaliwal, R. and Rokne, J.: Thermal shock problem in generalized thermoelastic, J. Thermal Stresses, 12, 259-279, 1989.
• [16] Othman, M.I.A.: Relaxation effects on thermal shock problems in an elastic half-space of generalized magneto-thermoelastic waves, Mechs. Mech. Engng, 7, 156-278, 2004.
• [17] Nowacki, W.: Dynamic problem of thermoelasticity, Noordhoff International the Netherlands, p. 399, 1975.
• [18] Sherief, H.H.: Problem in electromagneto thermoelasticity for an infinitely long solid conducting circular cylinder wit h thermal relaxation, Int. J. Engng. Sci., 32, 1137-1149, 1994.