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Finite Element Analysis of Stress Concentrations in Isotropic and Composite Plates with Elliptical Holes

  • Abdelhak KhechaiEmail author
  • Abdelouahab Tati
  • Mohamed Ouejdi Belarbi
  • Abdelhamid Guettala
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

Panels and shells with variously shaped cutout are often used in both modern and classical aerospace, mechanical and civil engineering structures. The understanding of the effects of cutout on the load bearing capacity and stress concentration of such plates/shells is very important in designing of structures. Finite element investigation is undertaken to study the stress analysis of plates with central elliptical holes. In this study, the stress concentration factors (SCF) in cross-and-angle-ply composite plates as well as in isotropic plates subjected to uniaxial loading is studied. The main objective of this study is to demonstrate the accuracy of present element for stress analysis of plates with central cutout. The varying parameters, such as cutout shape (circular or elliptical), hole sizes (a/b) or cutout orientations, which affect the stress distributions and SCF in the perforated plates, are considered. The numerical results obtained by the present element are compared favorably with the analytic findings published in literature, which demonstrates the accuracy of the present element.

Keywords

finite element analysis laminated composite plates stress concentration geometric singularity 

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References

  1. Wang, H., Qin, Q.-H.: A new special element for stress concentration analysis of a plate with elliptical holes. Acta Mechanica 223(6), 1323–1340 (2012)CrossRefzbMATHMathSciNetGoogle Scholar
  2. Louhghalam, A., et al.: Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping–finite element approach. International Journal of Solids and Structures 48(13), 1991–2004 (2011)CrossRefGoogle Scholar
  3. Muskhelishvili, N.I.: Some basic problems of the mathematical theory of elasticity. Springer (1977)Google Scholar
  4. Sharma, D.S.: Stress Concentration around Circular/Elliptical/Triangular Cutouts in Infinite Composite Plate. Engineering Letters 20(1) (2012)Google Scholar
  5. Nishioka, T., Atluri, S.: Stress analysis of holes in angle-ply laminates: an efficient assumed stress “special-hole-element” approach and a simple estimation method. Computers & Structures 15(2), 135–147 (1982)CrossRefzbMATHGoogle Scholar
  6. Piltner, R.: Special finite elements with holes and internal cracks. International Journal for Numerical Methods in Engineering 21(8), 1471–1485 (1985)CrossRefzbMATHMathSciNetGoogle Scholar
  7. Chen, H.C.: Special finite elements including stress concentration effects of a hole. Finite Elements in Analysis and Design 13(4), 249–258 (1993)CrossRefzbMATHGoogle Scholar
  8. Pan, E., et al.: Stress analyses around holes in composite laminates using boundary element method. Engineering Analysis with Boundary Elements 25(1), 31–40 (2001)CrossRefzbMATHGoogle Scholar
  9. Khechai, A., Tati, A., Guettala, A.: Finite element analysis of stress concentrations and failure criteria in composite plates with circular holes. Frontiers of Mechanical Engineering 9(3), 281–294 (2014)CrossRefGoogle Scholar
  10. Tati, A., Abibsi, A.: Un element fini pour la flexion et le flambage des plaques minces stratifiees en materiaux composites. Revue Des Composites Et Des Materiaux Avances 17(3), 279 (2007)CrossRefGoogle Scholar
  11. Forest, S., et al.: Mécanique des milieux continus. Cours de l’Ecole des Mines de Paris (3121), p. 2005 (2004)Google Scholar
  12. Rezaeepazhand, J., Jafari, M.: Stress concentration in metallic plates with special shaped cutout. International Journal of Mechanical Sciences 52(1), 96–102 (2010)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Abdelhak Khechai
    • 1
    Email author
  • Abdelouahab Tati
    • 2
  • Mohamed Ouejdi Belarbi
    • 2
  • Abdelhamid Guettala
    • 1
  1. 1.Laboratory of Civil EngineeringUniversity of BiskraBiskraAlgeria
  2. 2.Laboratory of Energy Engineering and MaterialsUniversity of BiskraBiskraAlgeria

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