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Reflection of magneto-thermo-elastic waves from a rotating elastic half-space in generalized thermoelasticity under three theories

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The model of the equations of generalized magneto-thermoelasticity based on Lord-Shulman theory (LS) with one relaxation time, Green-Lindsay theory (GL) with two relaxation times, as well as the classical dynamical coupled theory (CD), is used to study the electro-magneto-thermoplastic interactions in a semi-infinite perfectly conducting solid. The entire elastic medium is rotating with a uniform angular velocity. There an initial magnetic field acts parallel to the plane boundary of the half-space. Reflection of magneto-thermoplastic waves under generalized thermoelasticity theory is employed to study the reflection of plane harmonic waves from a semi-infinite rotating elastic solid in a vacuum. The expressions for the reflection coefficients, which are the relations of the amplitudes of the reflected waves to the amplitude of the incident waves, are obtained. Similarly, the reflection coefficients ratios variation with the angle of incident under different conditions are shown graphically. Comparisons are made with the results predicted by the three theories in the presence and absence of rotation.
Rocznik
Strony
5--24
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
  • Faculty of Education, Department of Mathematics, Salalah-211, P.O. Box 2801, Sultanate of Oman, m_i_othman@yahoo.com
Bibliografia
  • [1] Lord, H. and Shulman, Y.: A Generalized Dynamical Theory of Thermoelasaticity, J. Mech. Phys. Solid, 15, 299-309, 1961.
  • [2] Green, A.E and Lindsay, K.A.: Thermoelasticity, J. Elast., 2, 1-7, 1912.
  • [3] Roy Choudhuri, S.K. and Debnath, L.: Magneto-thermoelastic Plane Waves in Rotating Media, Int. J. Engng. Sci., 21, 155-163, 1983.
  • [4] Roy Choudhuri, SK: Electro-magneto-thermoelastic Plane Waves in Rotating Media with Thermal Relaxation, Int. J. Engng. Sci., 22, 519-530, 1984.
  • [5] Chandrasekharaiah, D.S. and Debnath, L.: Magneto-thermoelastic Disturbances with Relaxation in a Solid due to Heat Sources, Comput. Math. Appl., 15, 483-490, 1988.
  • [6] Mukhopadhyay, B. and Bera, R.K.: Effect of Instantaneous and Continuous Heat Sources in an Infinite Conducting Magneto-thermo-viscoelastic Solid with Thermal Relaxation, Computer Math. Appl., 18, 723-728, 1989.
  • [7] Sherief, H.H. and Helmy, K.A.: A Two-dimensional Problem for a Half-space in Magneto-thermoelasticity with Thermal Relaxation, Int. J. Engng Sci., 40, 587-604, 2002.
  • [8] Ezzat M.A., Othman, M.I.A. and El-Karamany, A.S.: Electro-magnetothermo-elastic Plane Waves with Thermal Relaxation in a Medium of Perfect Conductivity, J. Therm. Stresses, 24, 411-432, 2001.
  • [9] Othman, M.I.A.: Relaxation Effects on Thermal Shock Problem in an Elastic Half-space of Generalized Magneto-thermoelastic Waves, Mechanics and Mechanical Engineering, 7, no. 2, 165-178, 2004.
  • [10] Othman, M.I.A: Effect of Rotation and Relaxation Time on a Thermal Shock Problem for a Half-space in Generalized Thermo-viscoelasticity, Acta Mech., 114, 129-143, 2005.
  • [11] Othman, M.I.A.: Effect of Rotation on Generalized Thermal Shock Problem for a Perfect Conducting Elastic Half-space in Magneto-thermoelasticity with Two Relaxation Times, Mechanics and Mechanical Engineering, 2005.
  • [12] Othman, M.I.A.: Effect of Rotation on Plane Waves in Generalized Thermoelasticity with Two Relaxation Times, Int. J. Solids and Structures, 41, 2939-2956, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0027-0027
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