Ezzat, Magdy A. State space approach to generalized magneto-thermoelasticity with two relaxation times in a medium of perfect conductivity. (English) Zbl 0902.73067 Int. J. Eng. Sci. 35, No. 8, 741-752 (1997). Summary: The state space formulation for one-dimensional problems of generalized magneto-thermoelasticity with two relaxation times in a perfectly conducting medium is introduced. The Laplace transform technique is used. The resulting formulation is applied to a thermal shock problem, a problem of a layer medium and a problem for the infinite space in the presence of heat sources. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically. Cited in 1 ReviewCited in 18 Documents MSC: 74F15 Electromagnetic effects in solid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:Laplace transform technique; thermal shock problem; layer medium; infinite space; heat sources PDFBibTeX XMLCite \textit{M. A. Ezzat}, Int. J. Eng. Sci. 35, No. 8, 741--752 (1997; Zbl 0902.73067) Full Text: DOI References: [1] Muller, I., Arch. Rat. Mech. Anal., 41, 319 (1971) [2] Green, A. E.; Laws, N., Arch. Rat. Mech. Anal., 45, 47 (1972) [3] Green, A. E.; Lindsay, K. A., J. Elast., 2, 1 (1972) [4] Şuhubi, E. S., Thermoelastic solids, (Eringen, A. C., Continuum Physics II (1975), Academic, Press: Academic, Press New York), Chapter 2 · Zbl 0155.52103 [5] Lord, H.; Shulman, J. Mech. Phys. Solid, 15, 299 (1967) [6] Erbay, S.; Şuhubi, E. S., J. Therm. Stress, 9, 279 (1986) [7] Ignaczak, J., J. Therm. Stress, 8, 25 (1985) [8] Ignaczak, J., J. Therm. Stress, 1, 41 (1978) [9] Ezzat, M. A., Int. J. Engng Sci., 33, 2011 (1995) [10] Paria, G., Adv. Appl. Mech., 10, 73 (1967) [11] Nayfeh, A.; Nemat-Nasser, G., J. Appl. Mech. Series E, 39, 108 (1972) [12] Choudhuri, S., Int. J. Engng Sci., 22, 519 (1984) [13] Honig, G.; Hirdes, U., J. Comp. Appl. Math., 10, 113 (1984) [14] Nowacki, W., Dynamic Problems of Thermoelasticity (1975), Noordhoof International: Noordhoof International The Netherlands · Zbl 0314.73072 [15] Sherief, H., Int. J. Engng Sci., 32, 313 (1994) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.