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Micro-Mechanical Finite Element Analysis
of Single Z-pin Pull-out
Bing Zhang, Giuliano Allegri
www.bris.ac.uk/composites
Advanced Composites Centre for Innovation and Science (ACCIS), University of Bristol
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2/XXIntroduction
Z-pinning is an effective through-thickness reinforcement techniquewhereby small diameter rods (Z-pin) are inserted perpendicularly
into laminate composites to improve delamination resistance andother through-thickness properties.
Characteristic features of Z-pinned composite laminates
In-plane features (Mouritz, 2007) Out-plane features(Chang, 2006)
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3/XXIntroduction
A three-dimensional FE strategy for single Z-pinned laminates
undergoing Mode I dominated pullout is presented
Single Z-pin analysis provides fundamental understanding ofreinforcement mechanism.
Diagram of single Z-pin test Mode I test
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4/XXFE modelling and results
! Mesh generation
! Materials definition
! Interface between Z-pin and laminates/resin
! Definition of boundary conditions and Mode I simplification
! Results and discussions
! Conclusions
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5/XXMesh Generation
1. Ply level mesh
Ply-level mesh
Stacking
Z-pin misalignment meshing
2. Stacking
Fibre direction definition
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6/XXMesh Generation
3. Full mesh
Full model
Top block
Bottom block
Z-pin
Experimental sample
Z-pin misalignment in full model
7/XX
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7/XXMaterials definition
Laminate(IM7/8552) Z-pin (T300/9310)
Young modulus, El(Gpa) 161 144
Young modulus, Et(Gpa) 11.38 7.31Shear modulus, Glt(Gpa) 5.17 4.45
Shear modulus, Gtt(Gpa) 3.98 2.63Poissons ratio, vlt 0.32 0.25
Poissons ratio, vtt 0.436 0.39
Thermal coefficient, !tt(C-
) 3.0e-5 3.0e-5Thermal coefficient, !ll(C
-) 0 0
8552 neat resin
Young modulus, E (Gpa) 4.67Shear modulus, G (Gpa) 1.73
Poissons ratio, v 0.35
Thermal coefficient, !(C- ) 7.5e-5
8/XX
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8/XX
t!
n!
1)0,max(
2
max,
2
max,
=!!"#$$
%&+!!
"#$$
%&
t
t
n
n
'
'
'
'
1=!!"
#$$%
&+!!
"
#$$%
& ''
IIC
II
IC
I
G
G
G
G
!
max,n!
max,t!
max,m!
)0,max(dkn
!="
d0 0 d0 d
Modified Coulomb Friction after debonding
n! t
!
),)1),0,min(max(max( max,0
00 tnt
d
dd!!!! "+
#
"=
max,t!
Bonding between Z-pin and laminates/resin
Interface between Z-pin and laminates/resin
Interface modelled by Vuinter of Abaqus/Explicit
9/XX
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9/XXInterface between Z-pin and laminates/resin
*SURFACE INTERACTION, PADTHICKNESS=0, NAME=USERINTER, USER,DEPVAR=33, PROPERTIES=11
**!Imax, !IImax, KI, KII, GI, GII, ", c30., 60., 1.e+5., 1.e+5, 1.e+5, 1.e+5, 1, 0.03,
** #, s0, smax
0.8, 25, 40
Input script of VUINTER
blank line
cohesive law properties
friction law properties
10/XX
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10/XXDefinition of boundary conditions & Mode I simplification
Boundary condition definition in cure step
Temperature Field:-160C w.r.t. cure
Whole analysis consists of cure step and pull-out step
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12/XX
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Simplification for Mode I dominated pull-out
!
!
Simplification of Mode I Pull-out angle definition
Definition of boundary conditions & Mode I simplification
13/XX
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13/XXResults and Discussions
0.3s 0.6s 1.0s
Uni-directional (UD)- cure results
debonding initiation debonding
bonding
interface tension
interface compression
14/XX
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14/XXResults and Discussions
Uni-directional (UD)- pullout results
Pull-out of Z-pin from UD laminates Enhanced friction zone
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15/XXResults and Discussions
Uni-directional (UD)- pullout results
Reaction force vs. displacement curves of Z-pin pull-out from UD
complete debonding
frictional pull-out
16/XXl d
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16/XXResults and Discussions
Quasi-isotropic (QI)- cure results
0.3s 0.6s 1.0s
almost complete debondingdebonding initiation location
17/XXR lt d Di i
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17/XXResults and Discussions
Quasi-isotropic (QI)- pullout results
Reaction force vs. displacement curves of Z-pin pull-out from QI
negligible influence ofinterface debonding
18/XXR lt d Di i
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18/XXResults and Discussions
0.3s 0.6s 1.0s
Zero-dominated (ZD)- cure results
debonding initiation
almost complete debonding
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21/XXAcknowledgements
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/Acknowledgements
Thanks for your attention
!
The authors would like to acknowledge Rolls-Royce plc for havingsupported this research via the Composites University Technology
Centre (UTC) at the University of Bristol.
!
The authors are also grateful to Dr Mehdi Yasaee, Dr JamesLander and Dr Fabrice Helenon for the discussion of theexperimental results and the modelling strategy.