Acta Mechanica Slovaca 2015, 19(1):18-27 | DOI: 10.21496/ams.2015.002

Behaviors of Simply Supported Cross-Ply Rectangular Symmetric Laminates Plates with Consideration of Prebuckling In-Plane Deformation

Abdelaziz Lairedj1, Mokhtar Bouazza2,3*, Khaled Amara3,4, Abdelmadjid Chabani2
1 Department of mechanical Engineering, University of Bechar, Bechar 08000, Algeria
2 Department of Civil Engineering, University of Bechar, Bechar 08000, Algeria
3 Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 2200, Algeria
4 Department of Civil Engineering, University centre of Ain Temouchent, Ain Temouchent 4600, Algeria

This paper addresses the elastic buckling of simply supported cross-ply rectangular symmetric laminates with allowance for the effects of prebuckling in-plane deformation and higher-order strain terms (curvature terms), using the first order shear deformation theory. The governing plate equations are derived by considering the stationary condition for the derived energy functional by applying the calculus of variations. The buckling load of symmetric cross-ply laminated rectangular plates, which are subjected to uniaxial compression, biaxial compression, and biaxial compression and tension, are determined whilst the effects of different parameters, the plate aspect ratio, the relative thickness degrees of material orthotropy and numbers of layers are investigated.

Keywords: Prebuckling in-plane deformation; Curvature terms; First order shear deformation theory

Published: March 31, 2015  Show citation

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Lairedj, A., Bouazza, M., Amara, K., & Chabani, A. (2015). Behaviors of Simply Supported Cross-Ply Rectangular Symmetric Laminates Plates with Consideration of Prebuckling In-Plane Deformation. Acta Mechanica Slovaca19(1), 18-27. doi: 10.21496/ams.2015.002
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References

  1. G.J. Turvey, I.H. Marshall, Buckling and Postbuckling of Composite Plates, Chapman and Hall, London, 1995, p.396. Go to original source...
  2. Pagano NJ. Exact solution for rectangular bi-directional composites and sandwich plates. J Compos Mater 1970;4:20-34. Go to original source...
  3. Noor AK. Stability of multilayered composite plates. Fiber Sci Tech 1975;8(2):81-9. Go to original source...
  4. Noor AK. Free vibration of multilayered composite plates. AIAA J 1973;11:1038-9. Go to original source...
  5. Marshell, I.H., Rhodes, J., Banks, W.M.. The nonlinear behaviour of thin orthotopic, curved panels under lateral loading. Journal of Mechanical Engineering Science, 1977,19 (1), 30-37. Go to original source...
  6. Kim, K., Voyiadjis, G.Z. Nonlinear finite element of composite panels. Composites Part B: Engineering, 1999, 30, 365-381. Go to original source...
  7. J.H. Kang, A.W. Leissa, Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges, International Journal of Solids and Structures 42 (2005) 4220-4238. Go to original source...
  8. J.N. Reddy, N.D. Phan, Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, Journal of Sound and Vibration 98 (1985) 157-170. Go to original source...
  9. M. Bouazza, A. Tounsi, E.A. Adda-Bedia, A. Megueni, Thermal buckling of simply supported FGM square plates, Applied Mechanics and Materials 61 (2011) 25-32. Go to original source...
  10. M. Bouazza, E.A. Adda-Bedia, Elastic stability of functionally graded rectangular plates under mechanical and thermal loadings, Academic Journals, Scientific Research and Essays, Vol. 8(39), pp. 1933-1943, 2013.
  11. M. Bouazza, A. Tounsi, E.A. Adda-Bedia, A. Megueni, Thermoelastic stability analysis of functionally graded plates: An analytical approach, Computational Materials Science 49 (2010) 865-870. Go to original source...
  12. M. Bouazza, A. Tounsi, E.A. Adda-Bedia, A. Megueni, Stability analysis of functionally graded plates subject to thermal loads, Shell-like Structures-Advanced Structured Materials, Springer 15 (8) (2011) 669-680. Go to original source...
  13. H. Matsunaga, Buckling Instabilities of of Thick Elastic Plates Subjected to In-Plane Stresses, Computers & Structures, vol. 62, no. 1, pp. 205-214, 1995. Go to original source...
  14. H. Matsunaga, Vibration and Stability of Cross-Ply Laminated Composite Plates According to a Global High-Order Plate Theory, Computers & Structures, vol. 48, pp. 231-244, 2000. Go to original source...
  15. A. K. Noor and P. M. Burton, Finite Element Buckling and Post-Buckling Solutions for Multilayered Composite Plates. Finite Elements in Analysis and Design, vol. 15, pp. 343-367, 1994. Go to original source...
  16. A. J. M. Ferreira and J. T. Barbosa, Buckling Behaviour of Composite Shells, Composite Structures, vol. 50, no. 1, pp. 93-98, 2000. Go to original source...
  17. A. J. M. Ferreira, J. E. Fassheur, and R. C. Batra, Natural Frequencies of Thick Plate Made of Orthotropic, Monoclinic and Hexagonal Materials by a Meshless Method, Journal of Sound and Vibration, vol. 319, nos. 3-5, pp. 984-992, 2009. Go to original source...
  18. Washizu, K. (1975). Variational Methods in Elasticity and Plasticity (2nd edn), Pergamon Press, Oxford.
  19. Khdeir AA, Librescu L. Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II-buckling and free vibration. Composite Structures 1988;9:259-77. Go to original source...
  20. Fares ME, Zenkour AM. Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories. Composite Structures 1999; 44:279-87. Go to original source...
  21. Zhen Wu, Wanji Chen. Thermomechanical buckling of laminated composite and sandwich plates using global-local higher order theory. International Journal of Mechanical Sciences 49 (2007) 712-721

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