Skip to main content
SpringerLink
Log in

Delamination buckling of a rectangular orthotropic composite plate containing a band crack

  • Published:
Mechanics of Composite Materials Aims and scope

The delamination buckling problem for a rectangular plate made of an orthotropic composite material is studied. The plate contains a band crack whose faces have an initial infinitesimal imperfection. The subsequent development of this imperfection due to an external compressive load acting along the crack is studied through the use of the three-dimensional geometrically nonlinear field equations of elasticity theory for anisotropic bodies. A criterion of initial imperfection is used in determining the critical forces. The corresponding boundary-value problems are solved by employing the boundary-form perturbation technique and the FEM. Numerical results for the critical force are presented.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. F. Hwang and C. P. Mao, “The delamination buckling of single-fibre system and interply hybrid composites,” Compos. Struct., 46, 279–287 (1999).

    Article  Google Scholar 

  2. G. J. Short, F. G. Guild, and M. J. Pavier, “The effect of delamination geometry on the compressive failure of composite laminates,” Compos. Sci. Technol., 61, 2075–2086 (2001).

    Article  CAS  Google Scholar 

  3. Y. Arman, M. Zor, and S. Aksoy, “Determination of critical delamination diameter of laminated composite plates under buckling loads,” Compos. Sci. Technol., 66, 2945–2953 (2006).

    Article  Google Scholar 

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

    MATH  Google Scholar 

  5. A. N. Guz, Fracture Mechanics of Composite Materials in Compression [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  6. A. N. Guz and V. M. Nazarenko, “Fracture mechanics of materials in compression along a crack (review). Highly elastic materials,” Int. Appl. Mech., 25, No. 9, 3–32 (1989).

    MathSciNet  Google Scholar 

  7. A. N. Guz and V. M. Nazarenko, “Fracture mechanics of materials in compression along a crack (review). Constructional materials,” Int. Appl. Mech., 25, No. 10, 3–19 (1989).

    MathSciNet  Google Scholar 

  8. S. D. Akbarov, “On the three dimensional stability loss problems of elements of constructions fabricated from the viscoelastic composite materials,” Mech. Compos. Mater., 34, No. 6, 537–544 (1998).

    Article  Google Scholar 

  9. S. D. Akbarov, T. Sisman, and N. Yahnioglu, “On the fracture of the unidirectional composites in compression,” Int. J. Eng. Sci., 35, Nos. 12/13, 1115–1136 (1997).

    Article  MATH  Google Scholar 

  10. S. D. Akbarov and N. Yahnioglu, “The method for investigation of the general theory of stability problems of structural elements fabricated from the viscoelastic composite materials,” Composites, Pt. B: Engineering, 32, No. 5, 475–482 (2001).

    Article  Google Scholar 

  11. S. D. Akbarov and O. G. Rzayev, “Delamination of unidirectional viscoelastic composite materials,” Mech. Compos. Mater., 38, No. 1, 17–24 (2002).

    Article  Google Scholar 

  12. S. D. Akbarov and O. G. Rzayev, “On the delamination of a viscoelastic composite circular plate,” Int. Appl. Mech., 39, No. 3, 368–374 (2003).

    Article  Google Scholar 

  13. S. D. Akbarov and O. G. Rzayev, “On the buckling of the elastic and viscoelastic composite circular thick plate with a penny-shaped crack,” Eur. J. Mech. A/Solids, 21, No. 2, 269–279 (2002).

    Article  MATH  ADS  Google Scholar 

  14. O. G. Rzayev and S. D. Akbarov, “Local buckling of the elastic and viscoelastic coating around the penny-shaped interface crack,” Int. J. Eng. Sci., 40, 1435–1451 (2002).

    Article  Google Scholar 

  15. S. D. Akbarov, N. Yahnioglu, and O. G. Rzayev, “On influence of the singular type finite elements to the critical force in studying the buckling of a circular plate with a crack,” Int. Appl. Mech., 43, No. 9, 120–129 (2007).

    Article  MATH  Google Scholar 

  16. S. D. Akbarov, “Three-dimensional stability loss problems of the viscoelastic composite materials and structural members,” Int. Appl. Mech., 43, No. 10, 3–27 (2007).

    Article  MATH  Google Scholar 

  17. S. G. Lekhnitskii, Elasticity Theory of Anisotropic Bodies [in Russian], Mir, Moscow (1981).

    Google Scholar 

  18. A. N. Guz’, Stability of Three-Dimensional Bodies [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  19. N. J. Hoff, “Buckling and stability,” J. Roy. Aeron. Soc., 58, No. 1 (1954).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yildiz Technical University, Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering, Davutpasa Campus, Istanbul, Turkey

    S. D. Akbarov & N. Yahnioglu

  2. Institude of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

    S. D. Akbarov

Authors
  1. S. D. Akbarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Yahnioglu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. D. Akbarov.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 46, No. 5, pp. 721-736, September-Ocrober, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbarov, S.D., Yahnioglu, N. Delamination buckling of a rectangular orthotropic composite plate containing a band crack. Mech Compos Mater 46, 493–504 (2010). https://doi.org/10.1007/s11029-010-9166-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-010-9166-6

Keywords

Search

Navigation