Mechanics of Composite Materials

, Volume 53, Issue 2, pp 243–252 | Cite as

Effect of Own Weight on the Static Analysis of a Prestretched Plate-Strip with a Circular Hole in Bending

Article
First Online:
Received:
  • 60 Downloads

The effect of combined own weight and a prestretching load on stress and displacement distributions around a circular hole in a composite plate-strip subjected to bending is investigated using the three-dimensional linearized theory of elasticity. The corresponding boundary-value problems are solved numerically by the finite-element method. It is found that the own weight of the plate-strip affects these distributions considerably.

Keywords

own weight initial stress composite circular hole stress concentration 
This is a preview of subscription content, log in to check access.

Notes

Acknowledgments

The author is very grateful to Prof. Surkay D. Akbarov and Prof. N. Yahnioglu for their interest in this investigation, advice, and guidance.

References

  1. 1.
    G. N. Savin, Stress Concentration Around Holes, E. Gros Translator, Pergamon (1961).Google Scholar
  2. 2.
    L. Toubal, M. Karama, and B. Lorrain, “Stress concentration in a circular hole in a composite plate,” Compos. Struct., 68, 31-36, (2005).CrossRefGoogle Scholar
  3. 3.
    H. C. Wu and B. Mu, “On stress concentrations in isotropic/orthotropic plates and cylinders with a circular hole,” Composites: Part B Eng., 34, 127-134, (2002).CrossRefGoogle Scholar
  4. 4.
    Y. B. Yang and J. H. Kang, “Exact deformation of an infinite rectangular plate with an arbitrarily located circular hole under in-plane loadings,” Struct. Eng. and Mech., 58, No.5, 783-797, (2016).CrossRefGoogle Scholar
  5. 5.
    S. D. Akbarov, N. Yahnioglu, and U. Babuscu Yesil, “Interaction between two neighboring circular holes in a prestretched simply supported orthotropic strip under bending,” Mech. Compos. Mater., 44, No. 6, 827-838 (2008).CrossRefGoogle Scholar
  6. 6.
    S. D. Akbarov, N. Yahnioglu, and U. Babuscu Yesil, “A 3D FEM analysis of stress concentrations around two neighboring cylindrical holes in a prestressed rectangular composite plate under bending,” Mech. Compos. Mater., 48, No.5, 499-510 (2012).Google Scholar
  7. 7.
    U. Babuscu Yesil, “The effect of initial stretching of a rectangular plate with a cylindrical hole on the stress and displacement distributions around the hole,” Turkish J. Eng. Env. Sci., 34, 1-15 (2010).Google Scholar
  8. 8.
    N. Yahnioglu and U. Babuscu Yesil, “Concentration of stress around a cylindrical hole in an initial stressed rectangular orthotropic thick plate,” ASME2010 Int. Mechanical Engineering Congress and Exposition, July 12-14, Istanbul, Turkey, (2010).Google Scholar
  9. 9.
    H. Takabatake, “Effects of dead loads in static beams,” J. Struct. Eng.-ASCE, 116, No. 4, 1102-1120 (1990).CrossRefGoogle Scholar
  10. 10.
    H. Takabatake, “Effects of dead loads on the static analysis of plates,” Structural Engineering and Mechanics, 42, No.6, 761-781 (2012).CrossRefGoogle Scholar
  11. 11.
    S. D. Akbarov, Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer-Heidelberg, New York (2013).CrossRefGoogle Scholar
  12. 12.
    A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).CrossRefGoogle Scholar
  13. 13.
    A. N. Guz, Elastic Waves in Bodies With Initial (Residual) Stresses [in Russian], Kiev (2004).Google Scholar
  14. 14.
    O. C. Zienkiewicz and R. L. Taylor, The Finite Element Methods: Basic Formulation and Linear Problems, (Vol. 1, 4th Edition), Mc Graw-Hill Book Company, Oxford, (1989).Google Scholar
  15. 15.
    U. Babuscu Yesil, “Forced vibration analysis of prestretched plates with twin circular inclusions,” J. of Engineering Mechanics, 141, No. 1 (2015).Google Scholar
  16. 16.
    R. M. Christensen, Mechanics of Composite Materials, Wiley-Interscience, New York (1979).Google Scholar
  17. 17.
    S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic Publishers, Dordrecht, The Netherlands (2000).CrossRefGoogle Scholar
  18. 18.
    S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd Edition, McGraw-Hill International Editions, London (1970).Google Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Mathematical EngineeringYildiz Technical UniversityIstanbulTurkey

Personalised recommendations