Abstract
The static failure behaviour of fibre-reinforced laminates is examined at the mesoscale and microscale levels of observation using finite element simulations. The actual cracking and delamination processes are simulated with interface elements equipped with a mixedmode damage model. The mesoscale simulations consider a fibre-metal laminate GLARE that is subjected to uniaxial tension. The effect of plasticity in the metal layers on the cracking and delamination processes in the laminate is analysed. The results for a brittle laminate are compared against a closed-form expression derived from energy considerations. In the microscale simulations the transverse failure response is studied of unidirectional fibre-epoxy systems subjected to uniaxial tension. The influence on the failure response by the relative strength of the fibre-epoxy interface and the epoxy matrix is demonstrated for single-fibre epoxy systems. For multiple-fibre epoxy systems the effect of the volume fraction on the failure response is assessed. Finally, the discrete, microscale fracture processes in thin fibre-epoxy layers are coupled to a mesoscale traction-separation law by means of a numerical homogenization approach. It is demonstrated how the effective traction-separation response and the corresponding microscale fracture patterns under mesoscale tensile conditions depend on the presence of microscale imperfections.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J.W. Hutchinson and Z. Suo. Mixed mode cracking in layered materials. Advances in Applied Mechanics, 29:63–191, 1992.
H.M. Jensen. Mixed mode interface fracture criteria. Acta Metallurgica et Materialia, 38:2637–2644, 1990.
A. Turon, P.P. Camanho, J. Costa, and C.G. Davila. A damage model for the simulation of delamination in advanced composites under variable-mode loading. Mechanics of Materials, 38:1072–1089, 2006.
F. Hashagen. Numerical analysis of failure mechanisms in fibre metal laminates. PhD thesis, Delft University of Technology, 1998.
J.J.C. Remmers, G.N. Wells, and R. de Borst. A solid-like shell element allowing for arbitrary delaminations. International Journal for Numerical Methods in Engineering, 58:2013–2040, 2003.
H. Parisch. A continuum-based shell theory for non-linear applications. International Journal for Numerical Methods in Engineering, 38(11):1855–1883, 1995.
M. Bischoff and E. Ramm. Shear deformable shell elements for large strains and rotations. International Journal for Numerical Methods in Engineering, 40:4427–4449, 1997.
A.S.J. Suiker and N.A. Fleck. Crack tunneling and plane-strain delamination in layered solids. International Journal of Fracture, 125:1–32, 2004.
E.K. Gamstedt and B.A. Sjogren. Micromechanisms in tension-compression fatigue of composite laminates containing transverse plies. Composites Science and Technology, 59:167–178, 1999.
T. Hobbiebrunken, M. Hojo, T. Adachi, C. De Jong, and B. Fiedler. Evaluation of interfacial strength in CF/epoxies using FEM and in-situ experiments. Composites Part A - Applied Science and Manufacturing, 37:2248–2256, 2006.
X.P. Xu and A. Needleman. Numerical simulations of fast crack growth in brittle solids. Journal of the Mechanics and Physics of Solids, 42:1397–1407, 1994.
M.G.A. Tijssens, E. van der Giessen, and L.J. Sluys. Simulation of mode I crack growth in polymers by crazing. International Journal of Solids and Structures, 37:7307–7327, 2000.
M.G.A. Tijssens, L.J. Sluys, and E. van der Giessen. Simulation of fracture of cementitious composites with explicit modeling of microstructural features. Engineering Fracture Mechanics, 68:1245–1263, 2001.
M.V. Cid Alfaro. Multiscale Analyses of Fibre Metal Laminates. PhD thesis, Delft University of Technology, Delft, 2008.
M.V. Cid Alfaro, A.S.J. Suiker, R. de Borst, and J.J.C. Remmers. Analysis of fracture and delamination in laminates using 3D numerical modelling. Engineering Fracture Mechanics, 76:761–780, 2009.
A.S.J. Suiker and N.A. Fleck. Modelling of fatigue crack tunneling and delamination in layered composites. Composites Part A: Applied Science and Manufacturing, 37:1722–1733, 2006.
T.J. de Vries. Blunt and Sharp Notch Behaviour of GLARE laminates. PhD thesis, Delft University of Technology, The Netherlands, 2001.
A. Vlot and J.W. Gunnink. (eds.) Fibre Metal Laminates - An Introduction. Kluwer Academic Publishers, Dordrecht, 2001.
T. Takamatsu, T. Matsumura, N. Ogura, T. Shimokawa, and Y. Kakatu. Fatigue crack growth properties of a GLARE-3-5/4 fiber/metal laminate. Engineering Fracture Mechanics, 63:253–272, 1999.
D.J. Shim, R.C. Alderliesten, S.M. Spearing, and D.A. Burianek. Fatigue crack growth in GLARE hybrid laminates. Composites Science and Technology, 63:1759–1767, 2003.
M.V. Cid Alfaro, A.S.J. Suiker, and R. de Borst. Transverse failure behaviour of fibreepoxy systems. Journal of Composite Materials, 2010. Accepted for publication.
M. Hagenbeek. Characterization of Fibre Metal Laminates under Thermo-mechanical loadings. PhD thesis, Delft University of Technology, Delft, 2005.
F. Hashagen and R. de Borst. Numerical assessment of delamination in fibre metal laminates. Computer Methods in Applied Mechanics and Engineering, 185:141–159, 2000.
M.V. Cid Alfaro, A.S.J. Suiker, C.V. Verhoosel, and R. de Borst. Numerical homogenization of cracking processes in thin fibre-epoxy layers. European Journal of Mechanics A/Solids, 29:119–131, 2010.
R. Hill. The essential structure of constitutive laws for metal composites and polycrystals. Journal of the Mechanics and Physics of Solids, 15:79–95, 1967.
M.G. Kulkarni, P.H. Geubelle, and K. Matouš. Multi-scale modelling of heterogeneous adhesives: Effect of particle decohesion. Mechanics of Materials, 41:573–583, 2009.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Alfaro, M.V.C., Suiker, A.S.J., de Borst, R. (2010). Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Laminates. In: de Borst, R., Ramm, E. (eds) Multiscale Methods in Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9809-2_13
Download citation
DOI: https://doi.org/10.1007/978-90-481-9809-2_13
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9808-5
Online ISBN: 978-90-481-9809-2
eBook Packages: EngineeringEngineering (R0)