Skip to main content

A Numerical Model for Delamination of Composite Multilayered Plates

  • Chapter
Mathematical Analysis of Thin Plate Models

Part of the book series: Mathematiques & Applications ((MATHAPPLIC,volume 24))

  • 286 Accesses

Abstract

After a brief recall on the laminated plate theory, a computational model for studying the delamination is presented. In order to avoid a too complicated mathematical justification (which is included in [1]), we base our developments on physical feelings. Then a mechanical example including comparison with experiments is discussed. All the chapter is a survey of a study performed five years ago with our friend Thierry Nevers. The extended versions can be found in the references [2], [3], [4], [5], [6].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. DESTUYNDER Ph., NEVERS Th., [1987], A model for studyingthe delamination of thin multilayered plates. In Application of multiple scaling mechanics edited by P. G. Ciarlet and E. Sanchez-Palencia, RMA n°4, Masson, Paris.

    Google Scholar 

  2. NEVERS Th., [1986], Modélisation théorique et numérique du délaminage dans les plaques composites, Doctoral Dissertation, Ecole Centrale de Paris.

    Google Scholar 

  3. DESTUYNDER Ph., NEVERS Th., [1987], Un modèle de calcul des forces de délaminage dans les plaques minces multicouches, J.M.T.A., 6 , p. 179–207.

    MATH  Google Scholar 

  4. DESTUYNDER Ph., NEVERS Th., [1989], Comparaison des différentes méthodes de calcul des forces de délaminage, Rapport DRET 8734321.

    Google Scholar 

  5. DESTUYNDER Ph., NEVERS Th., [1989], Analysis of damage mechanism using the energy release rate,.Rapport DRET 8734322.

    Google Scholar 

  6. DESTUYNDER Ph., [1982], Sur la propagation des fissures dans les plaques minces en flexion, J.M.T.A., 1, p. 579–594.

    MathSciNet  MATH  Google Scholar 

  7. GRIFFITH A. A., [1920], Phil. Trans. Soc., London ser. A, p. 221–230.

    Google Scholar 

  8. WANG S.S., [1983], Mechanics for delamination problems in composite materials, vol. 17, p. 210.

    Google Scholar 

  9. WANG S. S., CHOI I., [1982], Boundary layers effects in composite laminates: part 1–2, free edge-Sress solution and basic characteristics, J. Appl. Mech., 49, p. 549–560.

    Article  MATH  Google Scholar 

  10. WANG A. S. D., CROSSMAN F., [1977], Some new results on the edge effects in symmetric composite laminates, Comput. & Structures, 11, p. 11.

    Google Scholar 

  11. RAJU I., CREWS J., [1981], Interlaminar stress singularities at the free edge in composite laminates, Comput. & Structures, 14, p. 21–28.

    Article  Google Scholar 

  12. ANQUEZ L., BERN A., RENARD J., [1985], Calcul des singularités dans les multicouches, La Recherche Aérospatiale, 1985–2.

    Google Scholar 

  13. DAVET J. L., DESTUYNDER Ph., [1985], Singularités logarithmiques dans les effets de bord d’une plaque en matériaux composites, J.M.T.A., 4, p. 357–373.

    MathSciNet  Google Scholar 

  14. DESTUYNDER Ph., OUSSET Y, [1989], Remarks on the damage analysis of adhesive bonds using the energy release rate, Proceedings of the 5th International Symposium on numerical methods in engineering. Computational Mechanics Publications, p. 363–370, Springer-Verlag, Berlin.

    Google Scholar 

  15. DESTUYNDER Ph., OUSSET Y., STACKLER C., [1988], Sur les singularités de contraintes dans les joints collés, J.M.T.A., 7, p. 899.926.

    MathSciNet  MATH  Google Scholar 

  16. DESTUYNDER Ph., DJAOUA M., LESCURE S., [1983], Quelques remarques sur la mécanique de la rupture élastique, J.M.T.A., 2, p. 113–135.

    MATH  Google Scholar 

  17. DESTUYNDER Ph., BONNET E., MICHELIN E., TEMPLIER B., [1988], Computation of stress singularities in edge efects of multilayered composites, La Recherche Aérospatiale, 1988–1.

    Google Scholar 

  18. OUSSET Y., [1990], Modélisation de plaques minces multicouches composite et présentant de délaminages, La Recherche Aérospatiale.

    MATH  Google Scholar 

  19. OUSSET Y., ROUDOLPH F., [1992], Un modèle limite de bande mince présentant deux fissures longitudinales, C.R. Acad. Sci. Paris, 314, série II, p. 7–12.

    MATH  Google Scholar 

  20. O’BRIEN T. K., [1979], Mixed mode chain-energy release rate effects on edge delamination of composites, NASA Technical Memorendum 84952.

    Google Scholar 

  21. ANQUEZ L., NATAF F., [1987], Délaminage d’un barreau composite soumis à une traction uniforme, J.M.T.A.,6, p. 335–350.

    MATH  Google Scholar 

  22. NGUYEN Q. S., [1980], Méthodes énergétiques en mécanique de la rupture, J. Mécanique, vol. 19, n°2.

    Google Scholar 

  23. DESTUYNDER Ph., DJAOUA M., [1981], Sur une interprétation mathématique de l’intégrale de Rice en mécanique de la rupture fragile, Math. Meth. in Appl. Sc., vol.3.

    Google Scholar 

  24. MURAT F, TARTAR L., [1980], Non linear analysis and mechanics, Heriot-Watt symposium, edited by R.J. Knops, Research notes in Mathematics n°27, Pitman Publisher.

    Google Scholar 

  25. AYADI M., [1990], Contribution à l’étude des plaques minces composites délaminées, Doctoral Dissertation, Ecole Centrale de Paris.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Destuynder, P., Salaun, M. (1996). A Numerical Model for Delamination of Composite Multilayered Plates. In: Mathematical Analysis of Thin Plate Models. Mathematiques & Applications, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51761-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51761-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61167-7

  • Online ISBN: 978-3-642-51761-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics