Skip to main content
Log in

Finite Element Analysis of Single-Leg Bending Delamination of Composite Laminates Using a Nonlinear Cohesive Model

  • Technical Article---Peer-Reviewed
  • Published:
Journal of Failure Analysis and Prevention Aims and scope Submit manuscript

Abstract

Delamination is a dominating failure mechanism in composites. Deep insight into mixed-mode delamination failure mechanism requires advanced numerical methods. Currently, the cohesive zone model (CZM) by combining with the finite element analysis has become a powerful tool for modeling the delamination initiation and growth of composites. Based on the middle-plane interpolation technique, this paper first develops a 3D finite element technique for implementing exponential CZM using ABAQUS-UEL (User element subroutine). Then, the effects of the cohesive strength, mesh size and initial delamination crack length on the delamination behavior and load response for two single-leg bending composite specimens with mixed-mode I/II delamination modes are studied by comparison with the experimental results. In addition, the viscous effect on the load–displacement curves for two specimens is also studied.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. J.R. Reeder, J.R. Crews, Mixed-mode bending method for delamination testing. AIAA J. 28, 1270–1276 (1990)

    Article  Google Scholar 

  2. S.H. Yoon, C.S. Hong, Modified end notched flexure specimen for mixed mode interlaminar fracture in laminated composites. Int. J. Fract. 43, 3–9 (1990)

    Article  Google Scholar 

  3. B.D. Davidson, V. Sundararaman, A single leg bending test for interfacial fracture toughness determination. Int. J. Fract. 78, 193–210 (1996)

    Article  Google Scholar 

  4. J.J. Polaha, B.D. Davidson, R.C. Hudson, A. Pieracci, Effects of mode ratio, ply orientation and precracking on the delamination toughness of a laminated composite. J. Reinf. Plast. Compos. 15, 141–173 (1996)

    Google Scholar 

  5. A. Pieracci, B.D. Davidson, V. Sundararaman, Nonlinear analyses of homogeneous, symmetrically delaminated single leg bending specimens. J. Compos. Tech. Res. 20, 170–178 (1998)

    Article  Google Scholar 

  6. A. Szekrényes, U.J. József, Over-leg bending test for mixed-mode I/II interlaminar fracture in composite laminates. Int. J. Damage Mech. 16, 5–33 (2007)

    Article  Google Scholar 

  7. D.S. Dugdale, Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104 (1960)

    Article  Google Scholar 

  8. G.I. Barenblatt, The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7, 55–129 (1962)

    Article  Google Scholar 

  9. P.F. Liu, M.M. Islam, A nonlinear cohesive model for mixed-mode delamination of composite laminates. Compos. Struct. 106, 47–56 (2013)

    Article  Google Scholar 

  10. M.L. Benzeggagh, M. Kenane, Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Compos. Sci. Technol. 56, 439–449 (1996)

    Article  Google Scholar 

  11. J. Segurado, J. Llorca, A new three-dimensional interface finite element to simulate fracture in composites. Int. J. Solids Struct. 41, 2977–2993 (2004)

    Article  Google Scholar 

  12. A. Turon, C.G. Dávila, P.P. Camanho, J. Costa, An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models. Eng. Fract. Mech. 74, 1665–1682 (2007)

    Article  Google Scholar 

  13. P.W. Harper, S.R. Hallett, Cohesive zone length in numerical simulations of composite delamination. Eng. Fract. Mech. 75, 4774–4792 (2008)

    Article  Google Scholar 

  14. ASTM D6671/D6671 M-06, Standard test method for mixed mode I-Mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites

  15. Abaqus Version 6.12 Documentation-Abaqus Analysis Users Manual

  16. M. Samimi, J.A.W. van Dommelen, M.G.D. Geers, A three-dimensional self-adaptive cohesive zone model for interfacial delamination. Comput. Methods Appl. Mech. Eng. 200, 3540–3553 (2011)

    Article  Google Scholar 

  17. G. Alfano, M.A. Crisfield, Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. Int. J. Numer. Methods Eng. 50, 1701–1736 (2001)

    Article  Google Scholar 

Download references

Acknowledgments

Dr. Pengfei Liu would sincerely like to thank the support of the National Natural Science Funding of China (No. 51375435), the National Key Fundamental Research and Development Project of China (No. 2015CB057603), the Natural Science Funding of Zhejiang Province of China (No. LY13E050002) and Aerospace Science and Technology Innovation Funding.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. F. Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, P.F., Gu, Z.P. Finite Element Analysis of Single-Leg Bending Delamination of Composite Laminates Using a Nonlinear Cohesive Model. J Fail. Anal. and Preven. 15, 846–852 (2015). https://doi.org/10.1007/s11668-015-0021-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11668-015-0021-x

Keywords

Navigation