Mechanical Behavior of Laminated Composite Curved Tubes

Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The stress analysis on thick laminated composite curved tubes subjected to pure bending moment is performed by proposing a high-order displacement-based method. The most general displacement field of elasticity for thick laminated composite curved tubes is developed by employing a displacement approach of toroidal elasticity and a layerwise method. The accuracy of the proposed method is verified by comparing the numerical results obtained using the proposed method with finite element method (FEM).

Keywords

Thick laminated composite curved tubes Toroidal elasticity Layerwise method Stress analysis Lay-up sequences 

Notes

Acknowledgements

The financial contributions from the Natural Sciences and Engineering Research Council of Canada (NSERC), Bell Helicopter Textron Canada Ltd., and Concordia University are appreciated.

References

  1. 1.
    Ting TCT (1999) New solution to pressuring, shearing, torsion and extension of cylindrically anisotropic elastic circular tube or bar. Proc R Soc Lond A 455:3527–3542MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Chen T, Chung CT, Lin WL (2000) A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion and extension and a uniform temperature change. Int J Solids Struct 37:5143–5159CrossRefMATHGoogle Scholar
  3. 3.
    Yu AM, Nie GH (2005) Explicit solutions for shearing and radial stresses in curved beams. Mech Res Commun 32(3):323–331CrossRefMATHGoogle Scholar
  4. 4.
    Dryden J (2007) Bending of inhomogeneous curved bars. Int J Solids Struct 44(11–12):4158–4166CrossRefMATHGoogle Scholar
  5. 5.
    Piovan MT, Domini S, Ramirez JM (2012) In-plane and out-of-plane dynamics and buckling of functionally graded circular curved beams. Compos Struct 94(11):3194–3206CrossRefGoogle Scholar
  6. 6.
    Hajianmaleki M, Qatu MS (2012) Static and vibration analyses of thick, generally laminated deep curved beams with different boundary conditions. Compos B Eng 43(4):1767–1775CrossRefGoogle Scholar
  7. 7.
    Wang M, Liu Y (2013) Elasticity solutions for orthotropic functionally graded curved beams. Eur J Mech A Solids 37:8–16MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    Aşık MZ, Dural E, Yetmez M, Uzhan T (2014) A mathematical model for the behavior of laminated uniformly curved glass beams. Compos B Eng 58:593–604CrossRefGoogle Scholar
  9. 9.
    Yazdani Sarvestani H, Hoa SV, Hojjati M (2016) Three-dimensional stress analysis of orthotropic curved tubes-part 1: single-layer solution. Eur J Mech A/SolidsGoogle Scholar
  10. 10.
    Yazdani Sarvestani H, Hojjati M (2016) Three-dimensional stress analysis of orthotropic curved tubes-part 2: laminate solution. Eur J Mech A/SolidsGoogle Scholar
  11. 11.
    Zhu Y, Redekop D (1994) An out-of-plane displacement solution in toroidal elasticity. Int J Press Vessel Pip 58:309–319CrossRefGoogle Scholar
  12. 12.
    Fung YC, Tong P (2001) Classical and computational solid mechanics. World Scientific, New JerseyCrossRefMATHGoogle Scholar
  13. 13.
    Jódar L, Navarro E (1992) Solving coupled systems of linear second-order differential equations knowing a part of the spectrum of the companion matrix. J Comput Appl Math 39(1):115–119MathSciNetCrossRefMATHGoogle Scholar
  14. 14.
    Yazdani Sarvestani H, Hoa SV, Hojjati M (2016) Stress analysis of thick orthotropic cantilever tubes under transverse loading. Adv Compos Mater 1:28Google Scholar
  15. 15.
    Yazdani Sarvestani H, Hoa SV, Hojjati M (2016) Effects of shear loading on stress distributions at sections in thick composite tubes. Compos Struct 140:433–445CrossRefGoogle Scholar
  16. 16.
    Derisi B (2008) Development of thermoplastic composite tubes for large deformation. In: PhD thesis, Concordia University, Montreal, CanadaGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mechanical and Industrial EngineeringConcordia UniversityMontrealCanada

Personalised recommendations