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Plane Waves of a Fiber-Reinforcement Magneto-thermoelastic Comparison of Three Different Theories

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Abstract

In this article, the coupled theory, Lord–Shulman theory, and Green–Lindsay (GL) theory are used to study the influence of a magnetic field on a fiber-reinforced thermoelastic half-space. Normal mode analysis is used to solve a thermal shock problem. Numerical results for the temperature, displacement components, and stress components are given and illustrated graphically. A comparison is made between the coupled and GL theories in the absence and presence of a magnetic field and reinforcement.

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References

  1. H.W. Lord, Y. Shulman, J. Mech. Phys. Solids 15, 299 (1967)

    Article  ADS  MATH  Google Scholar 

  2. A.E. Green, K.A. Lindsay, J. Elast. 2, 1 (1972)

    Article  MATH  Google Scholar 

  3. M.I.A. Othman, Multi Model Mater. Struct. 1, 231 (2005)

    Google Scholar 

  4. M.I.A. Othman, Y.Q. Song, Appl. Math. Modell. 32, 811 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Paria, Adv. Appl. Mech. 10, 73 (1967)

    Article  Google Scholar 

  6. A.J. Belfield, T.G. Rogers, A.J.M. Spencer, J. Mech. Phys. Solids 31, 25 (1983)

    Article  ADS  MATH  Google Scholar 

  7. P.D.S. Verma, O.H. Rana, Mech. Mater. 2, 353 (1983)

    Article  Google Scholar 

  8. P.R. Sengupta, S. Nath, Sãdhanã 26, 363 (2001)

    Google Scholar 

  9. Z. Hashin, W.B. Rosen, J. Appl. Mech. 31, 223 (1964)

    Article  ADS  Google Scholar 

  10. B. Singh, S.J. Singh, Sãdhanã 29, 249 (2004)

    MATH  Google Scholar 

  11. A. Chattopadhyay, S. Choudhury, Int. J. Eng. Sci. 28, 485 (1990)

    Article  MATH  Google Scholar 

  12. S. Chaudhary, V.P. Kaushik, S.K. Tomar, Acta Geophys. Pol. 52, 219 (2004)

    Google Scholar 

  13. A. Chattopadhyay, S. Choudhury, Int. J. Numer. Anal. Meth. Geomech. 19, 289 (1995)

    Article  MATH  Google Scholar 

  14. A. Chattopadhyay, R.L.K. Venkateswarlu, S. Saha, Sãdhanã 27, 613 (2002)

    Google Scholar 

  15. M.I.A. Othman, Y.Q. Song, Int. J. Sol. Struct. 44, 5651 (2007)

    Article  MATH  Google Scholar 

  16. P.D.S. Verma, O.H. Rana, M. Verma, Indian J. Pure Appl. Math. 19, 713 (1988)

    MATH  Google Scholar 

  17. B. Singh, Arch. Appl. Mech. 75, 513 (2006)

    Article  ADS  MATH  Google Scholar 

  18. M.I.A. Othman, S.M. Said, Int. J. Thermophys. 33, 160 (2012)

    Article  ADS  Google Scholar 

  19. P.D.S. Verma, Int. J. Eng. Sci. 24, 1067 (1986)

    Article  MATH  Google Scholar 

  20. H.H. Sherief, K.A. Helmy, Int. J. Eng. Sci. 40, 587 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  21. M.I.A. Othman, Kh. Lotfy, R.M. Farouk, Acta Phys. Pol. A 116, 185 (2009)

  22. M.I.A. Othman, Mech. Mech. Eng. 14, 31 (2010)

    Google Scholar 

  23. M.I.A. Othman, Acta Mech. 169, 37 (2004)

    Article  MATH  Google Scholar 

  24. S.K. Roy Choudhuri, Comput. Math. Appl. 19, 85 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  25. M.I.A. Othman, Mech. Mech. Eng. 14, 5 (2010)

    Google Scholar 

  26. S.K. Roy Choudhuri, L. Debnath, J. Elast. 15, 59 (1985)

    Article  MATH  Google Scholar 

  27. M.A. Ezzat, M.I.A. Othman, Int. J. Eng. Sci. 38, 107 (2000)

    Article  Google Scholar 

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Othman, M.I.A., Said, S.M. Plane Waves of a Fiber-Reinforcement Magneto-thermoelastic Comparison of Three Different Theories. Int J Thermophys 34, 366–383 (2013). https://doi.org/10.1007/s10765-013-1417-z

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  • DOI: https://doi.org/10.1007/s10765-013-1417-z

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