Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 569781, 13 pages
http://dx.doi.org/10.1155/2013/569781
Research Article

Finite Element Analysis of the Deformation of Functionally Graded Plates under Thermomechanical Loads

Mechanical Engineering Department, Zagazig University, Zagazig 44511, Egypt

Received 10 December 2012; Accepted 6 March 2013

Academic Editor: Abdelouahed Tounsi

Copyright © 2013 A. E. Alshorbagy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Koizumi, “FGM activities in Japan,” Composites Part B: Engineering, vol. 28, no. 1-2, pp. 1–4, 1997. View at Google Scholar · View at Scopus
  2. S. S. Alieldin, A. E. Alshorbagy, and M. Shaat, “A first-order shear deformation finite element model for elastostatic analysis of laminated composite plates and the equivalent functionally graded plates,” Ain Shams Engineering Journal, vol. 2, no. 1, pp. 53–62, 2011. View at Publisher · View at Google Scholar
  3. Z. Q. Cheng and R. C. Batra, “Three-dimensional thermoelastic deformations of a functionally graded elliptic plate,” Composites Part B: Engineering, vol. 31, no. 2, pp. 97–106, 2000. View at Google Scholar · View at Scopus
  4. Y. Tanigawa, T. Akai, R. Kawamura, and N. Oka, “Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties,” Journal of Thermal Stresses, vol. 19, no. 1, pp. 77–102, 1996. View at Google Scholar · View at Scopus
  5. G. N. Praveen and J. N. Reddy, “Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates,” International Journal of Solids and Structures, vol. 35, no. 33, pp. 4457–4476, 1998. View at Google Scholar · View at Scopus
  6. W. Lanhe, “Thermal buckling of a simply supported moderately thick rectangular FGM plate,” Composite Structures, vol. 64, no. 2, pp. 211–218, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Alibeigloo, “Exact solution for thermo-elastic response of functionally graded rectangular plates,” Composite Structures, vol. 92, no. 1, pp. 113–121, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. A. M. Afsar and J. Go, “Finite element analysis of thermoelastic field in a rotating FGM circular disk,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3309–3320, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. H. V. Tung and N. D. Duc, “Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads,” Composite Structures, vol. 92, no. 5, pp. 1184–1191, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. M. K. Singha, T. Prakash, and M. Ganapathi, “Finite element analysis of functionally graded plates under transverse load,” Finite Elements in Analysis and Design, vol. 47, no. 4, pp. 453–460, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. J. Chareonsuk and P. Vessakosol, “Numerical solutions for functionally graded solids under thermal and mechanical loads using a high-order control volume finite element method,” Applied Thermal Engineering, vol. 31, no. 2-3, pp. 213–227, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. H. S. Shen and Z. X. Wang, “Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations,” Composite Structures, vol. 92, no. 10, pp. 2517–2524, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. X. Wang and H. S. Shen, “Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations,” Composite Structures, vol. 93, no. 10, pp. 2521–2532, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Shaat, F. F. Mahmoud, A. E. Alshorbagy, S. S. Alieldin, and E. I. Meletis, “Size-dependent analysis of functionally graded ultra-thin films,” Structural Engineering and Mechanics, vol. 44, no. 4, pp. 431–448, 2012. View at Google Scholar
  15. J. N. Reddy, Mechanics of Laminated Composites Plates: Theory and Analysis, CRC Press, Boca Raton, Fla, USA, 1997.
  16. H. Yaghoobi and A. Fereidoon, “Influence of neutral surface position on deflection of functionally graded beam under uniformly distributed load,” World Applied Sciences Journal, vol. 10, no. 3, pp. 337–341, 2010. View at Publisher · View at Google Scholar
  17. S. S. Rao, The Finite Element Method in Engineering, Pergamon Press, Oxford, UK, 2nd edition, 1989. View at Zentralblatt MATH · View at MathSciNet
  18. L. D. Croce and P. Venini, “Finite elements for functionally graded Reissner-Mindlin plates,” Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 9–11, pp. 705–725, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. A. H. Muliana, “A micromechanical model for predicting thermal properties and thermo-viscoelastic responses of functionally graded materials,” International Journal of Solids and Structures, vol. 46, no. 9, pp. 1911–1924, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. J. R. Cho and D. Y. Ha, “Averaging and finite element discretization approaches in the numerical analysis of functionally graded materials,” Materials Science and Engineering A, vol. 302, pp. 187–196, 2001. View at Publisher · View at Google Scholar
  21. C. Chinosi and L. Della Croce, “Approximation of functionally graded plates with non-conforming finite elements,” Journal of Computational and Applied Mathematics, vol. 210, no. 1-2, pp. 106–115, 2007. View at Publisher · View at Google Scholar · View at Scopus