Abstract
The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord–Shulman under the effect of a magnetic field is discussed. The problem has been solved numerically using a finite element method. Numerical results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the theory of generalized thermoelasticity with one relaxation time for different values of time. It is found that the reinforcement has a great effect on the distribution of field quantities.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Lord H.W., Shulman Y.: J. Mech. Phys. Solids 15, 299 (1967)
Dhaliwal R.S., Sherief H.H.: Q. Appl. Math. 33, 1 (1980)
A.U. Erdem, Heat Conduction in Fiber-Reinforced Rigid Bodies, 10 Ulusal Ist Bilimi ve Tekmgi Kongrest (ULIBTK), 6–8 Eylul, Ankara (1995)
Chadwick P., Seet L.T.C.: Mathematica 17, 255 (1970)
Singh H., Sharma J.N.: J. Acoust. Soc. Am. 77, 1046 (1985)
Singh B.: J. Pure Appl. Math. 34, 1479 (2003)
Ezzat M., Othman M.I.A., El Karamany A.: J. Therm. Stress. 24, 411 (2001)
Othman M.I.A.: Acta Mech. 169, 37 (2004)
Abbas I.A., Abd-alla A.N.: Arch. Appl. Mech. 78, 283 (2008)
Abbas I.A.: Forsch Ingenieurwes 71, 215 (2007)
Othman M.I.A., Lotfy K.h., Farouk R.M.: Int. J. Ind. Math. 1, 87 (2009)
Othman M.I.A., Lotfy K.h., Farouk R.M.: Acta Phys. Pol. A 116, 185 (2009)
Spencer A.J.M.: Deformation of Fibre-Reinforced Materials. Clarendon, Oxford (1941)
A.C. Pipkin, Finite deformations of ideal fiber-reinforced composites, in Composites Materials, 2, ed. by G.P. Sendeckyj (Academic, New York, 1973), pp. 251–308
T.G. Rogers, Finite deformations of strongly anisotropic materials, in Theoretical Rheology, ed. by J.R.A. Pearson, K. Walters, J.F. Hutton (Applied Science Publishers, London, 1975), pp. 141–168
T.G. Rogers, Anisotropic elastic and plastic materials, in Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics, ed. by P. Thoft-Christensen (Reidel, Dordrecht, 1975), pp. 177–200
Sengupta P.R., Nath S., Nath S.: Proc. Indian Acad. Sci. 26, 363 (2001)
Singh B., Singh S.J., Singh S.J.: Proc. Indian Acad. Sci. 29, 249 (2004)
Abbas I.A.: Arch. Appl. Mech. 79, 41 (2008)
Abbas I.A., Othman M.I.A.: Int. J. Ind. Math. 1, 121 (2009)
Belfield A.J., Rogers T.G., Spencer A.J.M.: J. Mech. Phys. Solids 31, 25 (1983)
Wriggers P.: Nonlinear Finite Element Methods. Springer, Berlin (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Abbas, I.A., Abd-alla, Aen.N. & Othman, M.I.A. Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space. Int J Thermophys 32, 1071–1085 (2011). https://doi.org/10.1007/s10765-011-0957-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10765-011-0957-3