Skip to main content

Micromechanical Evidences on Interfibre Failure of Composites

  • Chapter
  • First Online:
  • 3768 Accesses

Abstract

Micromechanics has been widely used in the link in between an actual non-homogeneous composite ply involving fibre and matrix and an equivalent homogeneous ply with non-isotropic behaviour, connecting stiffness and strength properties of the equivalent lamina with the properties of fibre and matrix. The authors believe that beyond this, Micromechanics is the key tool to understand the behaviour of composites, to be able, among many other things, to propose physically based failure criteria that obviously are established at meso- or macro-level of a composite. Thus, the role of Micromechanics in the understanding of the interfibre failure mechanisms of composites is presented in this chapter. Different loading conditions (single tension, single compression, bidirectional loads and fatigue) are studied based on a simple single fibre model. The role of residual curing stresses at micromechanical level in the strength of a ply in the direction normal to the fibres is also studied. Finally, more refined models cover two questions of interest as the effect of a nearby fibre in the debonding of a primary fibre, and the scale effect in composites at micromechanical level, considering the debonding between fibre and matrix. In all cases the approach is to develop a BEM model and apply the tools derived from Interfacial Fracture Mechanics to deal with the debonds between fibre and matrix and Linear Elastic Fracture Mechanics to deal with cracks running into the matrix. It is noticeable that no material or fitting parameters are used in the developments carried out. In all cases studied, experimental evidences are presented to support numerical predictions.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   379.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

References

  1. R. Jones, Mechanics of Composite Materials (McGraw-Hill, New York, 1975)

    Google Scholar 

  2. S.W. Tsai, H.T. Hahn, Introduction to Composite Materials (Technomic, Southampton, 1980)

    Google Scholar 

  3. B.D. Agarwal, L.J. Broutman, Analysis and Performance of Fibre Composites (Wiley, New York, 1980)

    Google Scholar 

  4. J.C. Halpin, Primer on Composite Materials, 2nd edn. (Technomic, Lancaster, PA, 1992)

    Google Scholar 

  5. F. París, A study of failure criteria of fibrous composite materials. NASA/CR–2001–210661 (2001)

    Google Scholar 

  6. M.L. Williams, The stress around a fault of crack in dissimilar media. Bull. Seismol. Soc. Am. 49, 199–204 (1959)

    Google Scholar 

  7. M. Comninou, The interface crack. J. Appl. Mech. 44, 631–636 (1977)

    Article  Google Scholar 

  8. V. Mantič, A. Blázquez, E. Correa, F. París, Analysis of interface cracks with contact in composites by 2D BEM, in Fracture and Damage of Composites, ed. by M. Guagliano, M.H. Aliabadi (WIT, Southampton, 2006), pp. 189–248

    Google Scholar 

  9. F. París, E. Correa, V. Mantič, Kinking of transversal interface cracks between fiber and matrix. J. Appl. Mech. 74, 703–716 (2007)

    Article  Google Scholar 

  10. E. Correa, V. Mantič, F. París, Numerical characterisation of the fibre–matrix interface crack growth in composites under transverse compression. Eng. Fract. Mech. 75 (14), 4085–4103 (2008)

    Article  Google Scholar 

  11. M.Y. He, J.W. Hutchinson, Kinking of a crack out of an interface. J. Appl. Mech. 56, 270–278 (1989)

    Article  Google Scholar 

  12. J.W. Hutchinson, Z. Suo, Mixed mode cracking in layered materials. Adv. Appl. Mech. 29, 63–191 (1992)

    Article  Google Scholar 

  13. F. París, J. Cañas, Boundary Element Method. Fundamentals and Applications (Oxford University Press, Oxford, 1997)

    Google Scholar 

  14. E.K. Gamstedt, Fatigue damage mechanisms in polymer matrix composites. Ph.D. thesis, Lulea University of Technology (1997)

    Google Scholar 

  15. Z. Hashin, A. Rotem, A fatigue failure criterion for fiber reinforced materials. J. Compos. Mater. 7, 448–64 (1973)

    Article  Google Scholar 

  16. A. Puck, H. Schurmann, Failure analysis of FRP laminates by means of physically based phenomenological models. Compos. Sci. Technol. 58, 1045–1067 (1998)

    Article  Google Scholar 

  17. C.T. Sun, B.J. Quinn, J. Tao, D.W. Oplinger, Comparative evaluation of failure analysis methods for composite laminates. DOT/ FAA/AR–95/109 (1996)

    Google Scholar 

  18. M. Toya, On mode I and mode II energy release rates of an interface crack. Int. J. Fract. 56, 345–352 (1992)

    Article  Google Scholar 

  19. Y. Murakami, Stress Intensity Factor Handbook (Pergamon, Oxford, 1988)

    Google Scholar 

  20. F. París, E. Correa, J. Cañas, Micromechanical view of failure of the matrix in fibrous composite materials. Compos. Sci. Technol. 63, 1041–1052 (2003)

    Article  Google Scholar 

  21. V. Mantič, F. París, Relation between SIF and ERR based measures of fracture mode mixity in interface cracks. Int. J. Fract. 130, 557–569 (2004)

    Article  Google Scholar 

  22. F. Erdogan, G.C. Sih, On the crack extension in plates under plane loading and transverse shear. J. Basic Eng. 85, 519–527 (1963)

    Article  Google Scholar 

  23. E. Correa, V. Mantič, F. París, Effect of the presence of a secondary transverse load on the inter–fibre failure under tension. Eng. Fract. Mech. 103, 174–189 (2013)

    Article  Google Scholar 

  24. E. Correa, V. Mantič, F. París, A micromechanical view of inter–fibre failure of composite materials under compression transverse to the fibres. Compos. Sci. Technol. 68 (9), 2010–2021 (2008)

    Article  Google Scholar 

  25. E. Correa, F. París, V. Mantič, Effect of a secondary transverse load on the inter–fibre failure under compression. Compos. Part B 65, 57–68 (2014)

    Article  Google Scholar 

  26. E.K. Gamstedt, B.A. Sjogren, Micromechanisms in tension–compression fatigue of composite laminates containing transverse plies. Compos. Sci. Technol. 59 (2), 167–78 (1999)

    Article  Google Scholar 

  27. F. París, J.C. del Caño, J. Varna, BEM analysis of the contact problem in fibres debonded of a matrix. Effect of curing stresses, in Boundary Elements XX, ed. by A. Kassab, C.A. Brebbia, M. Chopra (Computational Mechanics Publications, Southampton, 1998), pp. 145–156

    Google Scholar 

  28. E. Correa, V. Mantič, F. París, Effect of thermal residual stresses on matrix failure under transverse tension at micromechanical level: a numerical and experimental analysis. Compos. Sci. Technol. 71 (5), 622–629 (2011)

    Article  Google Scholar 

  29. E. Correa, F. París, V. Mantič, Effect of thermal residual stresses on the matrix failure under transverse compression at micromechanical level: a numerical and experimental study. Compos. Part A 43 (1), 87–94 (2012)

    Article  Google Scholar 

  30. C. Sandino, E. Correa, F. París, Numerical analysis of the influence of a nearby fibre on the interface crack growth under transverse tensile load. Eng. Fract. Mech. (2016). http://dx.doi.org/10.1016/j.engfracmech.2016.01.022

    Google Scholar 

  31. A. Parvizi, K.W. Garret, J.E. Bailey, Constrained cracking in glass fibre-reinforced epoxy cross-ply laminates. J. Mater. Sci. 13, 195–201 (1978)

    Article  Google Scholar 

  32. D.L. Flaggs, M.H. Kural, Experimental determination of the in situ transverse lamina strength in graphite/epoxy laminates. J. Compos. Mater. 16 (2), 103–116 (1982)

    Article  Google Scholar 

  33. I.G. García, V. Mantič, A. Blázquez, F. París, Transverse crack onset and growth in cross ply [0∕90] S laminates under tension. Application of a coupled stress and energy criterion. Int. J. Solids Struct. 51, 3844–3856 (2014)

    Google Scholar 

  34. V. Mantič, Interface crack onset at a circular cylindrical inclusion under a remote transverse tension. Application of a coupled stress and energy criterion. Int. J. Solids Struct. 46, 1287–304 (2009)

    Google Scholar 

  35. M.L. Velasco, F. París, J.C. Marín, J. Justo, A. Barroso, E. Graciani, Numerical and experimental study on the failure of non-conventional laminates, in ECCM17—European Conference on Composite Materials, Munich (2016)

    Google Scholar 

  36. H. Saito, H. Takeuchi, I. Kimpara, Experimental evaluation of the damage growth restraining in 90 layer of thin-ply CFRP cross-ply laminates. Adv. Compos. Mater. 21, 57–66 (2012)

    Google Scholar 

Download references

Acknowledgements

This study was supported by the Spanish Ministry of Education and Science/Economy and Competitiveness and the Junta de Andalucía (Projects MAT2013-45069-P, DPI 2012-37187 and P11-TEP-7093).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Federico París .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this chapter

Cite this chapter

París, F., Correa, E., Mantič, V. (2017). Micromechanical Evidences on Interfibre Failure of Composites. In: Beaumont, P., Soutis, C., Hodzic, A. (eds) The Structural Integrity of Carbon Fiber Composites. Springer, Cham. https://doi.org/10.1007/978-3-319-46120-5_14

Download citation

Publish with us

Policies and ethics