Abstract
Numerical simulations based on finite element modelling are increasingly being developed to accurately evaluate the tensile properties of GLARE (GLAss fibre REinforced aluminium laminates). In this study, nonlinear tensile behaviour of GLARE Fibre Metal Laminates (FML) under in-plane loading conditions has been investigated. An appropriate finite element modelling approach has been developed to predict the stress–strain response and deformation behaviour of GLARE laminates using the ANSYS finite element package. The finite element model supports orthotropic material properties for glass/epoxy layer(s) and isotropic properties with the elastic–plastic behaviour for the aluminium layers. The adhesion between adjacent layers has been also properly simulated using cohesive zone modelling. An acceptable agreement was observed between the model predictions and experimental results available in the literature. The proposed model can be used to analyse GLARE laminates in structural applications such as mechanically fastened joints under different mechanical loading conditions.
Similar content being viewed by others
Abbreviations
- d n :
-
Normal debonding parameter
- d t :
-
Tangential debonding parameter
- d m :
-
Mixed mode debonding parameter
- E :
-
Young’s (elastic) modulus
- G :
-
Shear modulus
- G n :
-
Normal fracture energy/Work done by normal traction
- G t :
-
Shear fracture energy/Work done by tangential (shear) traction
- G I :
-
Critical fracture energy in mode I
- G II :
-
Critical fracture energy in mode II
- K n :
-
Normal stiffness
- K t :
-
Tangential stiffness
- T cr :
-
Critical normal/shear traction
- T n :
-
Normal traction
- T t :
-
Tangential/Shear traction
- δ f :
-
Failure/complete separation
- δ n :
-
Normal separation
- \( \delta_n^{cr} \) :
-
Critical normal separation
- \( \delta_n^f \) :
-
Failure normal separation
- δ t :
-
Tangential separation
- \( \delta_t^{cr} \) :
-
Critical tangential separation/slip distance
- \( \delta_t^f \) :
-
Failure tangential separation/slip distance
- Δ m , λ :
-
Mixed mode dimensionless parameters
- τ max :
-
Maximum/critical shear stress
- σ max :
-
Maximum/critical normal stress
References
Gay, D.: Composite Materials Design and Application. CRC (2003)
Vinson, J.R., Seirakowski, R.L.: The Behavior of Structures Composed of Composite Materials, 2nd ed. Kluwer (2004)
Soutis, C.: Fibre reinforced composites in aircraft construction. Prog. Aerosp. Sci. 41, 143–151 (2005)
Vlot, A.: Glare, History of the Development of a New Aircraft Material. Kluwer (2004)
Vermeeren, C.A.J.R.: An historic overview of the development of Fibre Metal Laminates. Appl. Compos. Mater. 10, 189–205 (2003)
Sinke, J.: Development of Fibre Metal Laminates: concurrent multi-scale modeling and testing. J. Mater. Sci. 41, 6777–6788 (2006)
Vlot, A., Vogelesang, L.B., De Vries, T.J.: Towards application of fibre metal laminates in large aircraft. Aircr. Eng. Aerosp. Technol. 71(6), 558–570 (1999)
Vogelesang, L.B., Vlot, A.: Development of fibre metal laminates for advanced aerospace structures. J. Mater. Process. Technol. 103, 1–5 (2000)
Gunnink, J.W., Vlot, A., De Vries, T.J., Van Der Hoeven, W.: GLARE technology development 1997–2000. Appl. Compos. Mater. 9, 201–219 (2002)
Frizzel, R.M., McCarthy, C.T., McCarthy, M.A.: A comparative study of the pin-bearing responses of two glass-based fibre metal laminates. Compos. Sci. Technol. 68, 3314–3321 (2008)
Wu, G., Yang, J.M.: The mechanical behavior of GLARE laminates for aircraft structures. JOM 57, 72–79 (2005)
Botelho, E.C., Silva, R.A., Pardini, L.C., Rezende, M.C.: A review on the development and properties of continuous fiber/epoxy/aluminum hybrid composites for aircraft structures. Mater. Res. 9(3), 247–256 (2006)
Sadighi, M., Dariushi, S.: An experimental study of the fibre orientation and laminate sequencing effects on mechanical properties of Glare. Proc. Inst. Mech. Eng., G: J. Aerosp. Eng. 222, 1015–1024 (2008)
Vermeeren, C.: Around Glare, A New Aircraft Material in Context. Kluwer (2004)
Alderliesten, R.C., Homan, J.J.: Fatigue and damage tolerance issues of Glare in aircraft structures. Int. J. Fatigue 28, 1116–1123 (2006)
Hagenbeek, M., Van Hengel, C., Bosker, O.J., Vermeeren, C.A.J.R.: Static properties of fibre metal laminates. Appl. Compos. Mater. 10, 207–222 (2003)
Woerden, H.J.M., Sinke, J., Hooimeijer, P.A.: Maintenance of GLARE structures and GLARE as riveted or bonded repair material. Appl. Compos. Mater. 10, 307–329 (2003)
Chen, J.L., Sun, C.T.: Modeling of orthotropic elastic–plastic properties of ARALL laminates. Compos. Sci. Technol. 36, 321–337 (1989)
Wu, H.F., Wu, L.L., Slagter, W.J., Verolme, J.L.: Use of rule of mixtures and metal volume fraction for mechanical property predictions of fibre-reinforced aluminum laminates. J. Mater. Sci. 29, 4583–4591 (1994)
Wu, G., Yang, J.M.: Analytical modelling and numerical simulation of the nonlinear deformation of hybrid fibre–metal laminates. Model. Simul. Mater. Sci. Eng. 13, 413–425 (2005)
Military Handbook: Metallic Materials and Elements for Aerospace Vehicle Structures. MIL-HDBK-5H, Washington, D.C. (1998)
Preusch, K., Linde, P., Pleitner, J., De Boer H., Carmone, C.: “Modelling of fibre metal laminate shells applied to the inter rivet buckling phenomenon”. European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS) (2004)
ANSYS Help System, Mechanical APDL, Structural analysis guide, nonlinear structure analysis, 8.4. Modelling material Nonlinearities
ANSYS Element References, SOLID185
Camanho, P.P., Davila, G.: Mixed-mode decohesion finite elements for the simulation of delamination in composite materials. NASA/TM-2002-211737 (2002)
Liljedahl, C.D.M., Crocombe, A.D., Wahab, M.A., Ashcroft, I.A.: Damage modelling of adhesively bonded joints. Int. J. Ract. 141, 147–161 (2006)
Needleman, A.: An analysis of tensile decohesion along an interface. J. Mech. Phys. Solids 38(3), 289–324 (1990)
Tvergaard, V.: Effect of fibre debonding in a whisker-reinforced metal. Mater. Sci. Eng. A125, 203–213 (1990)
Tvergaard, V., Hutchinson, J.W.: The relation between crack growth resistance and fracture process parameters in elastic–plastic solids. J. Mech. Phys. Solids 40(6), 1377–1397 (1992)
Camacho, G.T., Ortiz, M.: Computational modeling of impact damage in brittle materials. Int. J. Solids Struct. 33(20–22), 2899–2938 (1996)
Geubelle, P.H., Baylor, J.: Impact-induced delamination of laminated composites: a 2D simulation. Compos., Part B Eng. 29(5), 589–602 (1998)
Shet, C., Chandra, N.: Analysis of energy balance when using cohesive zone models to simulate fracture. Processes. J. Eng. Mater. Technol. 124, 440–450 (2002)
Yan, Y., Shang, F.: Cohesive zone modeling of interfacial delamination in PZT thin films. Int. J. Solids Struct. 46, 2739–2749 (2009)
Alfano, M., Furgiuele, F., Leonadi, A., Maletta, C., Paulino, G.H.: Fracture analysis of adhesive joints using intrinsic cohesive zone models. Atti del Congresso IGF19, Milano, 2-4 luglio (2007)
ANSYS Help System, Mechanical APDL, Theory Reference, 4.13. cohesive zone material model
Hogberg, J.L.: Mixed mode cohesive law. Int. J. Frac. 141, 549–559 (2006)
Mohamed, G.F., Soutis, C., Hodzic, A.: Numerical investigation of fibre-metal laminates subjected to blast loadings. 2nd ECCOMAS Thematic Conference on the Mechanical Response of Composites. Imperial College London, UK (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Soltani, P., Keikhosravy, M., Oskouei, R.H. et al. Studying the Tensile Behaviour of GLARE Laminates: A Finite Element Modelling Approach. Appl Compos Mater 18, 271–282 (2011). https://doi.org/10.1007/s10443-010-9155-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10443-010-9155-x