Generalized Thermoelasticity Plane Waves in Rotating Media with Thermal Relaxation under the Temperature Dependent Properties

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

Abstrakty

EN

A two-dimensional coupled problem in generalized thermoelasticity for rotating media under the temperature dependent properties is studied. The problem is in the context of the Lord-Shulman's theory with one relaxation time. The normal mode analysis is used to obtain the expressions for the temperature distribution, displacement components and thermal stresses. The resulting formulation is applied to two different problems. The first concerns the case of a heat punch moving across the surface of a semi-infinite thermoelastic half-space subjected to appropriate boundary conditions. The second deals with a thick plate subject to a time-dependent heat source on each face. Numerical results are illustrated graphically for each problem considered. Comparisons are made with the results obtained predicted by the two theories in case of absence of rotation.

Słowa kluczowe

EN

generalized thermoelasticity; rotating media; thermal relaxation; temperature dependent properties

PL

uogólniona termosprężystość; relaksacja termiczna

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2005
• Tom: Vol. 9, nr 2
• Strony: 89--110
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Othman M. I. A.

• Department of Mathematics, Faculty of Education, P.O. Box 2801, Salalah 211, Sultanate of Oman,

Bibliografia

• [1] Nowacki, W: Thermoelasticity, Addison-Wesley Pub. Com. Inc. (1962), London, 5.
• [2] Tanigawa, Y: Some basic thermoelastic problems for non-homogeneous structural materials. Appl. Mech. Rev., (1995), 48, 115.
• [3] Ootao, Y, Akai, T, Tanigawa, Y: Three-dimensional transient thermal stress analysis of a non-homogeneous hollow circular cylinder due to moving heat source in the axial direction. J. Thermal Stresses, (1995), 18, 89.
• [4] Manson, SS: Behavior of material under conditions of thermal stress, (1954), NACA 1170.
• [5] Biot, M: Thermoelasticity and irreversible thermo-dynamics. J. Appl. Phys., (1956), 27, 240-253.
• [6] Lord, H, Shulman, Y: A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solid, (1967), 15, 299-309.
• [7] Puri, P: Plane waves in thermoelasticity and magneto-thermoelasticity, Int. J. Engng Sci., (1972), 10, 467-476.
• [8] Ezzat, M, Othman, MIA, El-Karamany, AS: Electromagneto-thermoelasticity plane waves with thermal relaxation in a medium of perfect conductivity, J. Thermal Stresses, (2001), 24, 411-432.
• [9] Dhaliwal, R, Sherief, HH: Generalized thermoelasticity for anisotropic media, Quart. Appl. Math., (1980), 33, 1-8.
• [10] Sherief, HH, Dhaliwal, R: Generalized One-dimensional thermal-shock problem for small times, J. Thermal Stresses, (1981), 4, 407.
• [11] Nayfeh, AH, Nasser, SN: Thermoelastic waves in solids with thermal relaxation, Acta Mech., (1971), 12, 53-69.
• [12] Ezzat, M, Othman, MIA, El-Karamany, AS: The dependence of the modulus of elasticity on the reference temperature in generalized thermoelasticity, J. Therm. Stresses, (2001), 24, 1159-1176.
• [13] Othman, MIA: Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two-dimensional generalized thermo-elasticity, J. Therm. Stresses, (2002), 25, 1027-1045.
• [14] Müller, I: The Coldness, A universal function in thermoelastic solids, Arch. Rat. Mech. Anal., (1971), 41, 319.
• [15] Green, AE, Laws, N: On the entropy production inequality, Arch. Rat. Mech. Anal., (1972), 45, 47.
• [16] Green, AE, Lindsay, KA: Thermoelasticity, J. Elasticity, (1972), 2, 1.
• [17] Erbay, S, S¸uhubi, ES: Longitudinal wave propagation in a generalized elastic cylinder, J. Therm. Stresses, (1986), 9, 279.
• [18] Agarwal, VK: On plane waves in generalized thermoelasticity. Acta Mech. (1979), 13, 185-198.
• [19] Agarwal, VK: On electromagneto-thermoelastic plane waves, Acta Mech., (1979), 34, 181-191.
• [20] Ezzat, M, Othman, MIA: Electromagneto-thermoelasticity plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Engng Sci., (2000), 38, 107-120.
• [21] Othman, MIA: Effect of rotation on plane waves in generalized thermoelasticity with two relaxation times, Int. J. Solids and Structures, (2004), 41, 2939-2956.
• [22] Ignaczak, J: A strong discontinuity wave in thermoelasticity with relaxation times, J. Therm. Stresses, (1985), 8, 25-40.
• [23] Ignaczak, J: Decomposition theorem for thermoelasticity with finite wave speeds, J.Therm. Stresses, (1978), 1, 41.
• [24] Schoenberg, M, Censor, D: Elastic waves in rotating media, Quarterly of Applied Mathematics, (1973), 31, 115-125.
• [25] Nowacki, W: Dynamic Problem of Thermo-elasticity, Noordhoof International, (1975), The Netherlands.