Share This Article:

Fibre-Reinforced Generalized Thermoelastic Medium Subjected to Gravity Field

Abstract Full-Text HTML XML Download Download as PDF (Size:2336KB) PP. 1113-1134
DOI: 10.4236/jmp.2015.68116    2,631 Downloads   2,947 Views   Citations

ABSTRACT

The present paper is aimed at studying the effects of thermal relaxation time and gravity of a two-dimensional problem with anisotropic semi-infinite solid media with the deformation of fiber-reinforced generalized thermoplastic. The harmonic function techniques are used. The thermal stresses, temperature and displacement have been obtained. These expressions are calculated numerically for two values of elastic constants for mediums M1 and M2 respectively. The results obtained are displayed by graphs to clear the phenomena physical meaning. The results indicate that the effect of gravity, relaxation times and parameters of fibre-reinforced of the material medium are very pronounced.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Bayones, F. and Hussien, N. (2015) Fibre-Reinforced Generalized Thermoelastic Medium Subjected to Gravity Field. Journal of Modern Physics, 6, 1113-1134. doi: 10.4236/jmp.2015.68116.

References

[1] Biot, M.A. (1956) Journal of Applied Physics, 27, 240-253. http://dx.doi.org/10.1063/1.1722351
[2] Lord, H. and Shulman, Y. (1967) Journal of the Mechanics and Physics of Solids, 15, 299-309.
http://dx.doi.org/10.1016/0022-5096(67)90024-5
[3] Green, A.E. and Lindsay, K.A. (1972) Journal of Elasticity, 2, 1-7.
http://dx.doi.org/10.1007/BF00045689
[4] Tanaka, M., Matsumoto, M. and Moradi, M. (1995) Engineering Analysis with Boundary Element, 16, 297-303. http://dx.doi.org/10.1016/0955-7997(95)00074-7
[5] Green, A.E. and Laws, N. (1972) Archives of Rational Mechanics and Analysis, 45, 45-47.
http://dx.doi.org/10.1007/BF00253395
[6] Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A. (2001) Applied Mathematics and Computation, 121, 93-122. http://dx.doi.org/10.1016/S0096-3003(99)00265-9
[7] El-Naggar, A.M. and Abd-Alla, A.M. (1987) Earths, Moon Planets, 37, 213-223.
http://dx.doi.org/10.1007/BF00116637
[8] Abd-Alla, A.M., Abo-Bahab, S.M. and Bayones, F.S. (2011) International Review of Physics, 5, 171-181.
[9] Ezzat, M.A. and Youssef, H.M. (2005) International Journal of Solids and Structures, 42, 6319-6334.
http://dx.doi.org/10.1016/j.ijsolstr.2005.03.065
[10] Abd-Alla, A.M. and Bayones, F.S. (2011) Applied Mathematical Sciences, 5, 2049-2076.
[11] Dai, H.L. and Wang, X. (2006) International Journal of Engineering Science, 44, 365-378.
http://dx.doi.org/10.1016/j.ijengsci.2005.12.008
[12] Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A. (2000) Journal of Thermal Stresses, 23, 413-428.
http://dx.doi.org/10.1080/014957300403914
[13] Craig, M.S. and Hart, V.G. (1979) Quarterly Journal of Mechanics and Applied Mathematics, 4, 473-498.
http://dx.doi.org/10.1093/qjmam/32.4.473
[14] Sengupta, P.R. and Nath, S. (2001) Sadhana, 26, 363-370. http://dx.doi.org/10.1007/BF02703405
[15] Singh, B. and Singh, S.J. (2004) Sadhana, 29, 249-257. http://dx.doi.org/10.1007/BF02703774
[16] Singh, B. (2007) Archives of Applied Mechanics, 77, 253-258.
http://dx.doi.org/10.1007/s00419-006-0094-9
[17] Singh, B. (2007) International Journal of Mechanics and Solids, 2, 39-49.
[18] Kumar, R. and Gupta, R. (2009) Multidiscipline Modeling in Materials and Structures, 5, 283-288.
http://dx.doi.org/10.1163/157361109789017014
[19] Abd-Alla, A.M., Abo-Dahab, S.M. and Hammad, H.A.H. (2011) Applied Mathematical Modelling, 35, 2981-3000. http://dx.doi.org/10.1016/j.apm.2010.11.067
[20] Abd-Alla, A.M., Yahya, G.A. and Farhan, A.M. (2012) Journal of Mechanical Science and Technology, 26, 1829-1839. http://dx.doi.org/10.1007/s12206-012-0424-5
[21] Abd-Alla, A.M. and Mahmoud, S.R. (2010) Meccanica, 45, 451-462.
http://dx.doi.org/10.1007/s11012-009-9261-8
[22] Abd-Alla, A.M. and Ahmed, S.M. (1996) Earth, Moon, and Planets, 75, 185-197.
http://dx.doi.org/10.1007/BF02592996
[23] Abd-Alla, A.M., Hammad, H.A.H. and Abo-Dahab, S.M. (2004) Applied Mathematics and Computation, 154, 583-597. http://dx.doi.org/10.1016/S0096-3003(03)00767-7
[24] Elnaggar A.M. and Abd-Alla, A.M. (1989) Earth, Moon, and Planets, 45, 175-185.
http://dx.doi.org/10.1007/BF00055784
[25] Abd-Alla, A.M. and Ahmed, S.M. (1996) Earth, Moon, and Planets, 75, 185-197.
http://dx.doi.org/10.1007/BF02592996
[26] Abd-Alla, A.M. and Abo-Dahab, S.M. (2012) Journal of Thermal Stresses, 35, 892-912.7.23 http://dx.doi.org/10.1080/01495739.2012.720209

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.