CompTest2015,8th‐10th April2015 Exploringtheinfluenceofmicro‐structureon the mechanical properties and crack bridging themechanicalpropertiesandcrackbridging mechanismsoffibroustufts CamillaOsmiani,Galal Mohamed Gi li Giuliano All i*,IvanaK.Partridge Allegri I K P t id [email protected] *Department of Aeronautics, Imperial College, London www.bris.ac.uk/composites TuftingfacilitiesatBristol,UK Research project carried out in collaboration with National Composites Centre (NCC) and supported by Rolls Rolls-Royce Royce and EPSRC. Tufting robot 2/17 3/17 Tufting • Through-thickness reinforcement (TTR) technique • Dry preform – liquid resin moulding • Carbon, glass, aramid threads • One side access Composite [1] Thread seams Tuft Loop X-ray of a carbon tuft in 8 mm thi k carbon thick b fibre fib composite it [2] Tufting f g pprocess [1] J.W.G. Treiber, PhD Thesis, Cranfield Uni., 2011 Multi‐ScaleModellingApproach Tuft geometry and equivalent properties identification Meso-scale model of tufting thread Unit cell model (single-tuft coupon) Macro-scale model (DCB, ELS, etc.) GITuft Displacement GITuft Separation Unit cell model → Bridging law Unit-cell Tractiion Composite Tractiion Stress Tufting thread • • • • 4/17 GILaminate Separation Macro scale model Macro-scale Multi‐ScaleModellingApproach Tuft geometry and equivalent properties identification Meso-scale model of tufting thread Unit cell model (single-tuft coupon) Macro-scale model (DCB, ELS, etc.) GITuft Displacement GITuft Separation Unit cell model → Bridging law Unit-cell Tractiion Composite Tractiion Stress Tufting thread • • • • 5/17 GILaminate Separation Macro scale model Macro-scale Multi‐ScaleModellingApproach Tuft geometry and equivalent properties identification Meso-scale model of tufting thread Unit cell model (single-tuft coupon) Macro-scale model (DCB, ELS, etc.) GITuft Displacement GITuft Separation Unit cell model → Bridging law Unit-cell Tractiion Composite Tractiion Stress Tufting thread • • • • 6/17 GILaminate Separation Macro scale model Macro-scale Multi‐ScaleModellingApproach Tuft geometry and equivalent properties identification Meso-scale model of tufting thread Unit cell model (single-tuft coupon) Macro-scale model (DCB, ELS, etc.) GITuft Displacement GITuft Separation Unit cell model → Bridging law Unit-cell Tractiion Composite Tractiion Stress Tufting thread • • • • 7/17 GILaminate Separation Macro scale model Macro-scale Multi‐ScaleModellingApproach Tufting thread • • • • Tuft geometry and equivalent properties identification Meso-scale model of tufting thread Unit cell model (single-tuft coupon) Macro-scale model (DCB, ELS, etc.) • Previous investigations at the unit-cell level revealed that • 8/17 the bridging th b id i law l off the th tuft t ft in i mode d I is i highly hi hl sensitive iti to t the axial stiffness of the tuft, Ez, and the friction stress, τ, at the tuft-composite interface; Experimental assessment of Ez and τ necessary for prediction of toughness enhancement provided by the tuft. Which parameters influence the elastic response of the tuft? 9/17 TuftCharacterisation Focus on meso-scale meso scale problem: • Mode I delamination • Tensile behaviour of tufting thread i its in i impregnated i d state 3 mm CT-scan image of glass tuft in 10 mm thick composite Thread Structure and Properties Helical interlaced yarns Twist level (helix pitch, p) Yarn Helix radius, r = f (ry , Ny) Helix lay angle, α = atan(2πr/p) Yarn linear weight, WL Yarn dryy cross-section,, Adry = WL/ρρfibre Threead • • • • • • p α ℓhelix h li 2πr 10/17 TuftCharacterisation Thread – Tenax-J HTA40 H15 67tex 15S Impregnated thread • Single carbon yarn WL = 67 g/km, Adry = 0.038 mm2 • 2-yarn carbon thread WL = 2x67 2 67 g/km, /k Adry = 0.076 0 076 mm2, S 215 ttwist/m, i t/ p = 5.1 mm 0.5 mm/min 250 mm Resin – Momentive RIMR 935/RIMH 936 • Epoxy resin • Cure cycle: 2h at 60° + 1.5h at 80° Tuft Tensile test configuration 11/17 ExperimentalResults Impregnated Thread • Thread architecture influences mechanical performance • Ath, impr = 0.11 mm2, Vf = 70%, E = 186 ± 4MPa r = 0.13 mm E = 200 ± 3MPa Ath,impr 100 μm Representative stress-strain curves obtained ffrom tensile tests. Fibres onlyy assumed to carry the load (ASTM D2343-09) Micrographs of impregnated single yarn and 2-yarn thread 12/17 ModelDevelopment • Continuous method [3] → meso-scale model • RVE → gauge length = 1 pitch length • Periodic boundary conditions • Periodic microstructure material model [4] ux = uy = 0 uz = εmax p • Resin pocket in between yarns neglected z y r x p Top Ath,impr hi 2 Ath,impr = 0.11 mm2 r = 0.13 mm [3] A. Gasser et al., Comp. Mat. Sci. 17, 2000 ux = uy = uz = 0 B Bottom 13/17 ModelDevelopment • Continuous method [3] → meso-scale model • RVE → gauge length = 1 pitch length Resin i rich i h region Impregnated yarn • Periodic boundary conditions • Periodic microstructure material model [4] • Resin pocket in between yarns neglected 3 Ef = 200 GPa νf = 0.2 Em = 2.8 GPa νm = 0.4 Vf % 70 E1 E3 GPa GPa 16 ν12 - ν13 - 3 G12 G13 GPa GPa 141 0.48 0.03 3 6 5 Transverse isotropy assumed [3] A. Gasser et al., Comp. Mat. Sci. 17, 2000 3 3 1 1 1 1 1 Material Orientation 14/17 NumericalResults x E = 186 ± 4 MPa E = 177 MPa Comparison between numerical and experimental results lt for f the th 2-yarn 2 carbon b thread th d z 3 3 3 Stress distribution along interlaced h li l yarns in helical i the h FE model d l 15/17 SensitivityAnalysis • How H ddoes a variation i ti off the th helix h li pitch it h (p) ( ) influence i fl results? lt ? pa = 4 mm → αa = 11.5° pb = 5.1 mm → αb = 9° Tuft p α Ez,thread pc = 6 mm → αc = 7.8° Conclusions&FutureWork • The present study represents the first milestone in the development of a multi-scale modelling framework for tufted composites. • Thread architecture has influence on mechanical performance; • More accurate results are expected with incorporation of resin pocket in numerical model; • Stress distribution in yarn is sensitive to local material orientation; • Any scale-up modelling procedure should account for the effect of the helical shape on stress distribution; 16/17 Conclusions&FutureWork • The present study represents the first milestone in the development of a multi-scale modelling framework for tufted composites. • Thread architecture has influence on mechanical performance; • More accurate results are expected with incorporation of resin pocket in numerical model; • Stress distribution in yarn is sensitive to local material orientation; • Any scale-up modelling procedure should account for the effect of the helical shape on stress distribution; Thank you 17/17
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