The Joint Advanced Materials and Structures Center of Excellence
Damage Tolerance and Durability of Damage Tolerance and Durability of Adhesively Bonded Composite Adhesively Bonded Composite
StructuresStructuresHyonny Kim, Assistant Professor, School of Aeronautics & AstronaHyonny Kim, Assistant Professor, School of Aeronautics & Astronauticsutics
C.T. Sun, Professor, School of Aeronautics & AstronauticsC.T. Sun, Professor, School of Aeronautics & AstronauticsThomas Thomas SiegmundSiegmund, Associate Professor, School of Mechanical Engineering, Associate Professor, School of Mechanical Engineering
2Purdue University – Joint Advanced Materials and Structures Center of Excellence
Damage Tolerance and Durability of Adhesively Bonded Composite Structures
• Motivation and Key Issues– failure prediction of composite adhesive joints remains a difficult problem
• multiple failure modes and complex failure processes• damage initiation and growth influenced by geometry, loading, and environmental
factors such as moisture, temperature, etc.– damage in joints is difficult to detect – must design structures to be tolerant to
reasonably-sized flaws• accurate models are needed to predict failure and assess damage tolerance
• Objectives– investigate physical phenomena and processes leading to failure in adhesively
bonded joints– account for bondline thickness and environmental conditions– develop models describing these phenomena
• Approach: combined experimental/analytical investigations supporting development of models
3Purdue University – Joint Advanced Materials and Structures Center of Excellence
FAA Sponsored Project Information
• Principle Investigators & Researchers– Hyonny Kim– C. T. Sun– Thomas Siegmund
– Post-Doc: Steffen Brinkmann– Graduate Students: Haiyang Qian, Jungmin Lee,
Richard Khoo, Hee Seok Roh, Jibin Han (grad. 12/05)
• FAA Technical Monitor– Peter Shyprykevich
4Purdue University – Joint Advanced Materials and Structures Center of Excellence
Focus Areas Towards Achieving Objectives:
– Adhesive constitutive behavior for use in bonded joint analyses
– Effect of adhesive thickness on mixed mode fracture of joints
– Effect of bondline thickness on strength of adhesively bonded joints – CTOA approach
– Influence of moisture and bondline thickness on joint fracture
5Purdue University – Joint Advanced Materials and Structures Center of Excellence
Project I
Adhesive Constitutive Behavior in Bonded Joints
Hyonny Kim, Assistant [email protected]
Jungmin Lee and Hee Seok Roh, Graduate Students
6Purdue University – Joint Advanced Materials and Structures Center of Excellence
Background and Objectives
Background• nonlinear adhesive constitutive behavior is needed to conduct modeling/analysis – e.g., FEA
– choice of constitutive curve is not clear• adhesive τ vs γ measured by ASTM D5656:
– exhibits bond thickness dependency– criticized as being inconsistent at ASTM
Symposium on Joining and Repair of Composites (March 2003), and at FAA Adhesive Joints Workshop (June 2004)
•• material propertymaterial property should be geometry independent
Objectives:• understand why ASTM D5656 behavior is
bondline-thickness dependent• establish more direct and simple test method
for determining constitutive behavior: tensile dogbone, t.b.d. method
• resolve differences observed between tensile dogbone test & ASTM D5656
Shear Stress vs. Shear Strain Relationship for PTM&W ES6292 Measured by ASTM D5656
Test Method
7Purdue University – Joint Advanced Materials and Structures Center of Excellence
Modified ASTM D5656 Joint Tests
• Average shear strain =
• Average shear stress =
relative displacement adhesive thickness
applied load area of test section
Relative Displacements Measured by Laser Extensometer
ApplyCorrection
Test Specimen Grip Fixture
8Purdue University – Joint Advanced Materials and Structures Center of Excellence
D5656 Test Results
• D5656 test data show strong bondline thickness dependency
• global rotation of joint is minimal (< 0.5°)
9Purdue University – Joint Advanced Materials and Structures Center of Excellence
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.160
1000
2000
3000
4000
5000
6000
7000
εx
σx (p
si)
displacement rate: 0.01 in./min displacement rate: 0.05 in./min
Bulk Adhesive Constitutive Behavior – Tensile Dogbone Tests
Cytec FM 73 film adhesive
0.000 0.005 0.010 0.015 0.020 0.0250
1000
2000
3000
4000
5000
6000
Stre
ss, p
si
Strain
0.3 in/min
0.05 in/min
1.5 in/min
PTM&W ES6292 epoxy paste adhesive
Constitutive Behavior is Strain Rate Dependent
10Purdue University – Joint Advanced Materials and Structures Center of Excellence
Finite Element Modeling
0.00 0.05 0.10 0.15 0.20
0
1000
2000
3000
4000
5000
Ave
rage
She
ar S
tress
, τ (p
si)
Average Shear Strain
20mil 30mil 40mil 20mil_Test 30mil_Test 40mil_Test
• bulk tensile coupon constitutive data used to model D5656 test
• FEA models not showing bondline thickness dependency– need to account for strain rate
dependency and damage evolution
11Purdue University – Joint Advanced Materials and Structures Center of Excellence
P
P
Failed Adhesive Material
Discussion
• strain rate dependency:– adhesive exhibits strain rate
dependency– strain rate in joint ~ 10-1 s-1
– strain rate in bulk tensile coupon less than ~10-3 s-1
– must model adhesive using viscoplasticmaterial (Zgoul M. and Crocombe 2004)
• localized damage evolution:– highly constrained bondline permits
localized failure prior to joint final failure– increased compliance – effectively
showing plastic “plateau” and large final failure strain in D5656 tests run under displacement control
– FEA models must capture this phenomenon
12Purdue University – Joint Advanced Materials and Structures Center of Excellence
Summary
• D5656 thick adherend data measured for PTM&W ES 6292 adhesive– show strong bondline thickness dependency
• bulk tensile coupons tested to measure adhesive constitutive behavior directly
• FEA models of D5656 specimens using bulk-measured tensile data predicts only initial portion of specimen behavior
• issues exist:– premature failure of bulk tensile specimens – not measuring entire
constitutive behavior• improved test is needed
– to replicate D5656 data using bulk tensile coupon data, FEA modeling must account for
• strain rate dependency• localized damage evolution
13Purdue University – Joint Advanced Materials and Structures Center of Excellence
Project II
Effect of Adhesive Thickness on Mixed Mode Fracture of Joints
Hyonny Kim, Assistant [email protected]
Richard Khoo, Graduate Student
14Purdue University – Joint Advanced Materials and Structures Center of Excellence
Background and Objectives
Background• fracture mechanics is capable tool
for damage tolerance analysis• need mixed mode strain energy
release rate (SERR) data
Objectives• measure mixed mode SERR for
range of bondline thickness– Mixed Mode Bending
(MMB), DCB, ENF• observe processes occurring at
crack tip• use modeling/analysis to
understand bondline effect in measured data – establish fracture criteria in joints that accounts for bondline thickness dependent GICand GIIC
15Purdue University – Joint Advanced Materials and Structures Center of Excellence
Experiments
• Gc measured for range of mode I and mode II mix ratios– Double Cantilever Beam (DCB) – pure mode I– Mixed Mode Bending (MMB)– End Notched Flexure (ENF) – pure mode II
• test specimen details– adherends: 2024-T4 Al alloy, 0.25 x 1.0 x 6.0 in.– adhesive: PTM&W ES6292 epoxy paste adhesive– bondline thickness range: 0.008 to 0.060 in.
• test matrix
Mode Mix (% mode II)
ta = 0.008 in.
ta = 0.020 in.
ta = 0.040 in.
ta = 0.060 in.
0 done more tests to-do done
50 done done to-do more tests
75 done done to-do more tests
100 done done to-do done
16Purdue University – Joint Advanced Materials and Structures Center of Excellence
Results I – Overall GC Trend
17Purdue University – Joint Advanced Materials and Structures Center of Excellence
Results II – GIC vs. ta
1.91
1.62
1.89
1.72
2.77
1.71
2.45
2.24
3.44
2.35
2.56
2.98
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
0 10 20 30 40 50 60 70
Thickness (mil)
GIc
(lbs
/in)
18Purdue University – Joint Advanced Materials and Structures Center of Excellence
Results III – 50% Mode II GC vs. ta
3.22
3.72
4.05
5.25
4
4.404.374.36
4.69
2.00
2.50
3.00
3.50
4.00
4.50
5.00
5.50
0 10 20 30 40 50 60 70
Thickness (mil)
Gto
tc (l
b/in
)
19Purdue University – Joint Advanced Materials and Structures Center of Excellence
Results IV – 75% Mode II GC vs. ta
5.265.56
4.86
4.17
3.25
3.8
5.545.43
4.77
0.00
1.00
2.00
3.00
4.00
5.00
6.00
0 10 20 30 40 50 60 70
Thickness (mil)
Gto
tc (l
b/in
)
20Purdue University – Joint Advanced Materials and Structures Center of Excellence
Results V – GIIC vs. ta
10.94
9.34
10.869.99
2.083.072.62
6.917.036.74
23.62
22.01
1.29
3.78
21.52
2.46
6.79
0.00
5.00
10.00
15.00
20.00
25.00
0 10 20 30 40 50 60 70
Thickness (mil)
GIIc
(in/
lbs)
Rough failure surface Smooth failure Surface
21Purdue University – Joint Advanced Materials and Structures Center of Excellence
Discussion
• failure modes– all specimens exhibited cohesive failure
• data omitted if any amount of adhesion (clean interface) failure observed– stable crack growth – leaves behind rough fracture surface
• pure mode II: 20 and 60 mil bondline specimens exhibited bimodal behavior– stable growth – rough fracture surface; GIIC ~ 10 - 22 lb/in– unstable growth – smooth fracture surface ; GIIC ~ 2.5 lb/in
Specimen P100-060-01
growth along center of adhesive
Specimen P100-060-10
growth near upper adherend interface
22Purdue University – Joint Advanced Materials and Structures Center of Excellence
Plastic Zone Development
• significant plastic strain developed ahead of crack tip prior to growth• confinement of plastic zone by adherends known to play key role in fracture
Microscope Field of View:
Crack Tip
Pure Mode II LoadingBondline Thickness: 0.060 in.
Initial Growth Initiation
23Purdue University – Joint Advanced Materials and Structures Center of Excellence
Summary
• GC measured as function of mode mixity (modes I and II), and bondline thickness
• 8 mil bondline exhibits monotonically increasing GC for higher mode II content
• 20 and 60 mil bondlines exhibit bimodal behavior for 100% mode II– stable growth / rough fracture surface – high GIIC
– unstable growth / smooth fracture surface –low GIIC
• large plastic deformation observed to develop ahead of crack tip• FEA modeling of fracture tests is under-way to quantify plastic zone size
and confinement/interaction with adherends– validation to be achieved via comparison with image-analysis
measurements of shear strain
24Purdue University – Joint Advanced Materials and Structures Center of Excellence
Project III
Effect of Bondline Thickness on Strength of Adhesively Bonded Joints
C. T. Sun, [email protected]
Hiayang Qian, Graduate Student
25Purdue University – Joint Advanced Materials and Structures Center of Excellence
Objectives
To understand the mechanism that effects the thickness-dependent
joint strength behavior in adhesively bonded joints
To develop a CTOA approach for predicting crack growth in bonded
joints with the capability of accounting for the effect of bondline
thickness
26Purdue University – Joint Advanced Materials and Structures Center of Excellence
T
T
l
L
t
adhesvie
Adherend: Aluminum Alloy 7075
Adhesive: PTM&W ES6292
Surface Treatment: Semco Pasa-Jell 105 (etching method)
L=3in
l=1in
T=0.125in
t=0.008in, 0.01in, 0.02in, 0.06in
Single Lap Joint Specimen Configuration for Strength Test
27Purdue University – Joint Advanced Materials and Structures Center of Excellence
The joint strength decreases as the adhesive thickness increases
0
1
2
3
4
5
6
7
0 20 40 60Bond Line Thickness (mil)
Stre
ngth
of J
oint
s (k
N)
Single Lap Joint Strength vs. Adhesive Thickness
28Purdue University – Joint Advanced Materials and Structures Center of Excellence
Thickness of adhesive
Adhesive: Hysol EA9394
Thickness range: 27mil-120mil
Steel Hinge
L
t
l
Wta
Total length of the specimen: 4 in
Pre-crack length: 1.5 in
Adherend: Aluminum 7075
Adherend thickness: 125mil (0.125 in)
DCB Specimen for Fracture Test
29Purdue University – Joint Advanced Materials and Structures Center of Excellence
CTOA Measuring with Crack Propagation
0.2 mm
Before crack initiation Initial State
Crack Propagation
30Purdue University – Joint Advanced Materials and Structures Center of Excellence
012345678
0 5 10 15 20 25
Crack Extension (mm)
CO
TA (D
egre
e)
50mil 60mil90mil 120mil31mil 27mil
( )( )7.52.4
7.574.68303.01253.001.00003.0{
234
≥≤+−+−
=xxxxxx
CTOA
CTOA Curve is Independent of Bondline Thickness
31Purdue University – Joint Advanced Materials and Structures Center of Excellence
0
20
40
60
80
100
120
140
0 5 10Opening End Displacement (mm)
Load
(N)
30mil50mil130mil
Load and Displacement at the Opening End of the Specimens
Effect of Bondline Thickess on DCBFracture Load
32Purdue University – Joint Advanced Materials and Structures Center of Excellence
Crack tip
Aluminum
Ll
t
taAdhesive materials
P
CTOA Calculation
DCB Model and CTOA Calculation
33Purdue University – Joint Advanced Materials and Structures Center of Excellence
0
2
4
6
8
10
12
0 20 40 60 80 100 120Load (N)
Ope
ning
Ang
le (D
egre
e)
6mil20mil60mil
Effect of Bondline Thickness on CTOA
34Purdue University – Joint Advanced Materials and Structures Center of Excellence
0
5
10
15
20
25
30
35
40
45
-30 -10 10 30 50 70
0.01mm
0.01
mm
6mil20mil60mil
0
5
10
15
20
25
30
35
40
45
-30 -10 10 30 50 700.01mm
0.01
mm
6mil20mil60mil
Confinement of Plastic Zone
05
1015202530354045
-30 -10 10 30 50 70
0.01mm
0.01
mm
6mil20mil60mil
Plastic Zone under 35N
Plastic Zone under 75N
6mil Boundary
6mil Boundary
20mil Boundary
20mil Boundary
6mil Boundary
Plastic Zone under 100N
35Purdue University – Joint Advanced Materials and Structures Center of Excellence
Interfacial Stresses Increase asThickness Decreases
0
20
40
60
80
100
120
140
0 20 40 60 80 100 120
Applied Load (N)
Inte
rfaci
al N
orm
al S
tress
es (M
Pa) s22-6mil
s22-20mils22-60mil
0
5
10
15
20
25
30
35
0 20 40 60 80 100 120
Applied Load (N)
Inte
rfact
ial S
hear
Stre
sses
(MPa
)
s12-6mils12-20mils12-60mil
Maximum Normal Stresses Maximum Shear Stresses
Maximum Normal Stress Maximum Shear Stress
36Purdue University – Joint Advanced Materials and Structures Center of Excellence
Summary of Results
• Strength of single lap joint increases as bondline thickness increases
• CTOA for crack growth in adhesive is independent of bondline thickness
• In DCB fracture test, toughness increases as bondline thickness decreases. This result may be explained in terms of greater confinement of crack tip plastic zone in thinner bondline case
• For thinner bondlines the interfacial stresses between the adhesive and adherend are higher than those for thicker bondlines. It is possible that interfacial strength failure may precede crack extension leading to a lower failure load in joints with thinner bondlines.
37Purdue University – Joint Advanced Materials and Structures Center of Excellence
Project IV
Influence of Bondline Thickness and Moisture on Joint Fracture
Thomas Siegmund, Associate [email protected]
Steffen Brinckmann, Post Doctoral Research AssociateJibin Han, (PhD 12/2005)
Eric Anderson, SURF Summer Student
38Purdue University – Joint Advanced Materials and Structures Center of Excellence
Damage Tolerance and Durability of Adhesively Bonded Composite Structures
• Project goals:– Develop and employ the cohesive zone model approach to fracture to the
analysis of adhesive joint failure• Major achievements/conclusions to date:
Test procedure to determine cohesive zone model parameters undermonotonic loadingTransferability of test data between independent crack growth testsTest procedure for moisture degradationCoupled cohesive zone model for moisture/load interaction3D model implementation
• Benefits the aviation industry: – CZ model approach well established in e.g. microelectronics, civil engineering– Aid in establishing approach to aviation industry– Establish approach to long term problems (fatigue, environmental
degradation) to reduce testing time
39Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
• The Cohesive Zone Model:– Describes local energy dissipation during fracture and fatigue– Is conveniently coupled to other fields (moisture, heat, electrical…)
F
F
Global Parameters:• Force (F) – Displacement (COD)• Environment (H2O)
COD
H2O
Δ
T
T
Local Parameters:• Traction (T) – Separation (Δ)• H2O Concentration C(H2O)
C(H2O)
Finite element model withcohesive elements & H2O transport
Adherent
Adhesive
CZ ElementsDiffusion Elements
40Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Experimental Set-up
Crack Growth Resistance Environmental Degradation
Displacements andStrain fields
Force –Displacement
Record
Finite Element Method with
Cohesive Zone
Force –Displacement
Record
SpeckleImages
Displacements andStrain fields
Force –Displacement
Record
Finite Element Method with
Cohesive Zone
Force –Displacement
Record
SpeckleImages
41Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Transferability of CZ Model
0
10
20
30
40
50
60
70
80
90
100
0 0.02 0.04 0.06
0.508mm1.524mm3.048mmcz law
Δn [mm]
T n [M
Pa]
0
10
20
30
40
50
60
70
80
90
100
0 0.02 0.04 0.06
0.508mm1.524mm3.048mmcz law
Δn [mm]
T n [M
Pa]
F
F
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
0.0 5.0 10.0 15.0 20.0 25.0
Δa [mm]
CTO
A [d
egre
e]
Experiment (3.048mm)
Experiment (1.524mm)
Simulation_2D
Simulation_2D
Simulation_3D_on surface
From large specimens
model for smallspecimens
model for large specimens
L=50 mmb=10 mmt=3.175 mma0=25 mm
Experiment in Lab Siegmund Experiment in Lab Sun
L=125 mmb=17 mmt=3.175 mma0=38 mm
G( )( )nTCTOD∗
∂Δ =
∂
42Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Moisture Degradation: Experiments0 hours 24 hours: Stable crack extension
a0 a0+Δa
1 mm
Unstable crack extension1 mm
43Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Moisture Degradation: Experiments
25 μm/day=18 cm/20 years
44Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Moisture Degradation: Simulation
As aggressive environment (moisture) enters the crack, it enhances the crack growth.
Diffusion of water:• In the crack the water concentration is 100%.• In the Crack Process Zone (CPZ) the water concentration reduces.• In the virgin material the water concentration is 0%.
The diffusion depends on the opening of the crack in the CPZ. At sites where the crack is wide open, water diffuses fast. And vice versa.
45Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Moisture Degradation: Simulation
As moisture enters the crackprocess zone, the polymer ligaments loose their strength.In the current model they retain36% of their strength at fullsaturation with moisture.
Implementation: Coupled mechanical – transport solution using ABAQUS
46Purdue University – Joint Advanced Materials and Structures Center of Excellence
Influence of Bondline Thickness and Moisture on Joint Fracture
Moisture Degradation: Simulation
deflection of DCB
hold deflection constant
add moisture
47Purdue University – Joint Advanced Materials and Structures Center of Excellence
0
0.25
0.5
0.75
1
1E+0 1E+1 1E+2 1E+3 1E+4 1E+5
N (Cycles)0.
5 Δσ
/ σm
ax,0
σmean= 0
Influence of Bondline Thickness and Moisture on Joint Fracture
• A Cohesive Zone Model for Fatigue Failure
predicted S-N curve
B-737 composite stabilizer after 18 years of service (CECAM Bulletin)
σmax=σmax,0(1-D)Damage law
Goal Year #3
Previou
s Res
ults
48Purdue University – Joint Advanced Materials and Structures Center of Excellence
A Look Forward
• Benefit to Aviation – in response to increasing use of adhesive bonding– supports use of more sophisticated computation-based design and
analysis tools• failure process prediction, including adhesive plasticity• CTOA criterion simple to implement• VCCT and cohesive zone (cracked & un-cracked) now available in
commercial codes• simulation tools can reduce time to conduct extensive environmental
degradation tests– addressing important issues of bondline thickness
• quantify phenomena governing why “properties” seemingly depend on bondline thickness
• definition and use of local failure criteria that are not bondline thickness dependent
– simpler test methods to obtain fracture and constitutive data• seeking to define simpler tests and remove necessity to collect data as
function of bond thickness
49Purdue University – Joint Advanced Materials and Structures Center of Excellence
A Look Forward
• Future Needs– account for strain rate dependency and localized failure evolution in
constitutive modeling of adhesive – demonstrate transferability to joints of generic configuration
– quantify mixed mode fracture tests via local criterion – e.g., CTOA or CZ– experimentally characterize the interfacial strength between the
adhesive and adherends– fatigue crack growth characterization– investigate other adherend (namely composite) and adhesive types
and failure modes: interfacial (a.k.a. adhesion) and mixed interfacial/cohesive failure + composite failure
– use the developed CTOA and CZ approaches to further investigate the competing nature of interfacial strength and fracture toughness of the adhesive in determining performance of bonded joints
– theoretically study the adhesive properties and bondline thickness for optimal performance of bonded joints