Relaxation effects on thermal shock problems in an elastic half-space of generalized magneto-thermoelastic waves

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

Abstrakty

EN

The propagation of electromagneto-thermo-elastic disturbances produced by thermal shock based on Lord-Shulman (L-S), Green-Lindsay (G-L) and classical dynamical coupled (CD) theories in a perfectly conducting half-space are studied. There acts an initial magnetic field parallel to the plane boundary of the half-space. 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 each case. A comparison is made with the results predicted by the coupled theory. It is found that the magnetic field has decreasing effect.

Słowa kluczowe

EN

relaxation effects; thermal shock; normal mode analysis

PL

efekt relaksacji; szok termiczny

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2004
• Tom: Vol. 7, nr 2
• Strony: 165--178
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Othman M. I. A.

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

Bibliografia

• [1] Chadwick, P and Sneddon, IN: Plane waves in an elastic solid conducting heat, J. Mech. Physics Solids, (1958), 6, 223-230.
• [2] Biot, MA: Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., (1956), 27, 240-253.
• [3] Lord, H and Shulman, A: Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solid, (1967), 15, 299-309.
• [4] Dhaliwal, R and Sherief, HH: Generalized Thermoelasticity for an Isotropic Media, Quart. Appl. Math., (1980), 33, 1-8.
• [5] Sherief, HH: Fundamental Solutions of the Generalized Thermoelastic Problem for short Times, J. Thermal Stresses, (1986), 9, 151-164.
• [6] Sherief, HH and Anwar, MA: Two-Dimensional Generalized Thermoelasticity Problem for an Infinitely Long Cylinder, J. Thermal Stresses, (1994), 17, 213-227.
• [7] Müller, IM: The Coldness, A Universal Function in Thermo-elastic Solids, Arch. Rational Mech. Anal., (1971), 41, 319.
• [8] Green, AE and Laws, N: On the Entropy Production Inequality, Arch. Rational Mech. Anal., (1972), 45, 47.
• [9] Green, AE and Lindsay, KA: Thermoelasticity, J. Elast., (1972), 2, 1.
• [10] Suhubi, ES: Thermoelastic Solids, in: Continuum Physics II, Chapter 2, Eringen, AC, ed., (1975), Academic, Press, New York.
• [11] Erby, S and Suhubi, S: Longitudinal Wave Propagation in a Generalized Elastic Cylinder, J. Thermal Stresses, (1986), 9, 279.
• [12] Ignaczak, J: A Strong Discontinuity Wave in Thermoelastic wit h Relaxation Times, J. Thermal Stresses, (1985), 8, 25.
• [13] Ignaczak, J: Decomposition Theorem for Thermoelasticity with Finite Wave Speeds, J. Thermal Stresses, (1978), 1, 41.
• [14] Ezzat, MA and Othman, MI: Electromagneto-thermoelastic Plane Waves with Two Relaxation Times in a Medium of Perfect Conductivity, Int. J. Engng. Sci., (2000), 38, 107-120.
• [15] Paria, G: On Magneto-thermo-elastic plan waves, Proceedings, Cambridge Philosophical Society, (1962), 58, 52-531.
• [16] Paria, G: Magneto-elasticity and Magneto-thermoelasticity, Adv. Appl. Mech., (1967), 10, 73.
• [17] Nayfeh, AH and Nasser, SN: Electromagneto-thermoelastic Plane Waves in Solids with Thermal Relaxation, J. Appl. Mech., (1972), 113, 108-113.
• [18] Choudhuri, S: Electromagneto-thermoelastic Plane Waves in Rotating Media with Thermal Relaxation, Int. J. Engng. Sci., (1984), 22, 519-530.
• [19] Othman, MI: Lord-Shulman Theory under the Dependence of the Modulus of Elasticity on the Reference Temperature in Two-Dimensional Generalized Thermoelasticity, Int. J. Thermal Stresses, (2002), 25, 1027-1045.
• [20] Tomita, S and Shindow, Y: Rayleigh Waves in Magneto-thermoelastic Solids with Thermal Relaxation, Int. J. Engng. Sci., (1979), 17, 227.
• [21] Sherief, HH and Helmy, KA: A Two-dimensional Problem for a Half-space in Magneto-thermoelasticity with Thermal Relaxation, Int. J. Engng. Sci., (2002), 40, 587.