Skip to main content
Log in

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

  • Published:
Mechanics of Composite Materials Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. G. N. Savin, Stress Concentration Around Holes, E. Gros Translator, Pergamon (1961).

    Google Scholar 

  2. L. Toubal, M. Karama, and B. Lorrain, “Stress concentration in a circular hole in a composite plate,” Compos. Struct., 68, 31-36, (2005).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

  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. 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).

  9. H. Takabatake, “Effects of dead loads in static beams,” J. Struct. Eng.-ASCE, 116, No. 4, 1102-1120 (1990).

    Article  Google Scholar 

  10. H. Takabatake, “Effects of dead loads on the static analysis of plates,” Structural Engineering and Mechanics, 42, No.6, 761-781 (2012).

    Article  Google Scholar 

  11. S. D. Akbarov, Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer-Heidelberg, New York (2013).

    Book  Google Scholar 

  12. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).

    Book  Google Scholar 

  13. A. N. Guz, Elastic Waves in Bodies With Initial (Residual) Stresses [in Russian], Kiev (2004).

  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).

  15. U. Babuscu Yesil, “Forced vibration analysis of prestretched plates with twin circular inclusions,” J. of Engineering Mechanics, 141, No. 1 (2015).

  16. R. M. Christensen, Mechanics of Composite Materials, Wiley-Interscience, New York (1979).

    Google Scholar 

  17. S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic Publishers, Dordrecht, The Netherlands (2000).

    Book  Google Scholar 

  18. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd Edition, McGraw-Hill International Editions, London (1970).

    Google Scholar 

Download references

Acknowledgments

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

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to U. Babuscu Yesil.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 53, No. 2, pp. 345-358 , March-April, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Babuscu Yesil, U. Effect of Own Weight on the Static Analysis of a Prestretched Plate-Strip with a Circular Hole in Bending. Mech Compos Mater 53, 243–252 (2017). https://doi.org/10.1007/s11029-017-9657-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-017-9657-9

Keywords

Navigation