Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T16:56:35.606Z Has data issue: false hasContentIssue false

A study of mixed-mode composite delamination using enriched interface elements

Published online by Cambridge University Press:  27 January 2016

I. Guiamatsia*
Affiliation:
School of Civil Engineering, The University of Sydney, Sydney, Australia
J. K. Ankersen
Affiliation:
Department of Aeronautics, Imperial College London, London, UK
L. Iannucci
Affiliation:
Department of Aeronautics, Imperial College London, London, UK

Abstract

This paper examines the performance of enriching the shape functions of interface finite elements in the prediction of mixed-mode delamination. Enriching second-order interface and solid elements with the analytical solution of a beam on elastic foundation problem yields the correct displacement field ahead of the crack tip. Despite the enrichment being fixed at elements nodes, resulting in non-traceability of the crack tip location, the strategy is shown to perform consistently well, increasing the minimum element size from the typical 0·5mm to 5mm, for a range of classical mixed-mode bending (MMB) specimens.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Schellekens, J.C.J. and de Borst, R. A non-linear finite element approach for the analysis of mode I free edge delamination in composites, Int J Solids and Structures, 1993, 30, pp 12391253.Google Scholar
2. Dugdale, D.S. Yielding of steel sheets containing slits, J Mechanics and Physics of Solids, 1960, 8, pp 100104.Google Scholar
3. Barenblatt, G.I. The mathematical theory of equilibrium cracks in brittle fracture, Advances in Applied Mechanics, 1962, 7, pp 55129.Google Scholar
4. Xie, D. and Waas, A.M. Discrete cohesive zone model for mixed-mode fracture using finite element analysis, Engineering Fracture Mechanics, 2006, 73, pp 17831796.Google Scholar
5. Allix, O. and Corigliano, A. Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens, Int J Fracture, 1996, 77, pp 111140.Google Scholar
6. Davies, G.A.O., Hitchings, D. and Ankersen, J.K. Predicting delamination and debonding in modern aerospace composite structures, Composites Science and Technology, 2006, 66, pp 846854.Google Scholar
7. Gustafson, P.A. and Waas, A.M. Efficient and robust traction laws for the modelling of adhesively bonded joints. in 49th AIAA SDM Conference. Schaumburg, IL, USA, 7-10 April 2008.Google Scholar
8. Turon, A., Camanho, P.P., Costa, J. and Davila, C.G. An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models, Engineering Fracture Mechanics, 2007, 74, pp 16651682.Google Scholar
9. Crisfield, M.A. and Alfano, G. Adaptive hierarchical enrichment for delamination fracture using a decohesive zone model, Int J for Numerical Methods in Engineering, 2002, 54, pp 13691390.Google Scholar
10. Harper, P.W. and Hallett, S.R. Cohesive zone length in numerical simulations of composite delamination, Engineering Fracture Mechanics, 2008, 75, pp 47744792.Google Scholar
11. Samimi, M., van Dommelen, J.A.W. and Geers, M.G.D. An enriched cohesive zone model for delamination in brittle interfaces, Int J Numerical Methods in Engineering, 2009, 80, pp 609630.Google Scholar
12. Samimi, M., van Dommelen, J.A.W. and Geers, M.G.D. A self-adaptive finite element approach for simulation of mixed-mode delamination using cohesive zone models, Engineering Fracture Mechanics, 2011, 78, pp 22022219.Google Scholar
13. van Der Meer, F.P., Moes, N. and Sluys, L.J. A level set model for delamination – modelling crack growth without cohesive zone or stress singularity. Engineering Fracture Mechanics, 2012, 79, pp 191212.Google Scholar
14. van Der Meer, F.P., Sluys, L.J., Hallett, S.R. and Wisnom, M.R. Computational modelling of complex failure mechanisms in laminates, J Composite Materials, 2012, 43, pp 603623.Google Scholar
15. Guiamatsia, I., Ankersen, J.K., Davies, G.A.O. and Iannucci, L. Decohesion finite element with enriched basis functions for delamination, Composites Science and Technology, 2009, 69, pp 26162624.Google Scholar
16. Camanho, P.P., Davila, C.G. and de Moura, M.F. Numerical simulation of mixed-mode progressive delamination in composite materials. J Composite Materials, 2003, 37, pp 14151438.Google Scholar
17. Reeder, J.R. and Crews, J.H. Mixed-mode bending method for delamination testing, AIAA J, 1990, 28, pp 12701276.Google Scholar
18. Davies, G.A.O. and Guiamatsia, I. The problem of the cohesive zone in numerically simulating delamination/debonding failure modes, Applied Composite Materials, 2012, 19, pp 837838.Google Scholar
19. ABAQUS, Simulia Inc. Theory manual, version 6.9. Edition 2010.Google Scholar