© 2010, University of Delaware, all rights reserved BACKGROUND PROGRESSIVE DAMAGE MODEL FOR UD S-2 GLASS/SC15 RESEARCH GOAL AND SCOPE Advantages of 3D Fabric Composites: High Fracture Toughness (G IC , G IIC , G IIIC ) Damage Tolerance Easy Handling & Infusion Prediction of the Properties of 2D/3D Woven Composites Micro- or Meso-scale Levels through Theoretical and Finite Element (FE) Analysis Non-linear Responses and Softening Behaviors after Damages Have Been Hardly Studied SINGLE ELEMENT ANALYSIS OF UD S-2 GLASS/SC15 SUMMARY OF UD S-2 GLASS/SC15 MODEL SUMMARY OF SC15 INTERSTITIAL RESIN MODEL MODELING THE PROGRESSIVE DAMAGE IN 2D AND 3D WOVEN FABRIC COMPOSITES S.-G. Kang, B.A. Gama, and J.W. Gillespie, Jr. University of Delaware . Center for Composite Materials Research Goal: Modeling Damage of 3D S-2Glass/SC15 OWF (orthogonal weave fabric) Composite using UCM (unit cell model) Approach Research Scope: Single Element (SE) Analysis (SEA) of Uni- Directional (UD) S-2 Glass/SC15 Composites & Pure SC15 Resin Mechanical Response Simulation of 3D S-2 Glass/SC15 OWF Composite using the Meso- Mechanical UCM Homogenization of 3D S-2Glass/SC15 OWF Composite Properties 3D Orthogonal Weave Fabric (Bogdanovich, J Mater Sci (2006)) Progressive Composite Damage Model MAT162 in LS-Dyna Stress-Based Failure Criteria (Hashin , J Appl Mech, 1980), and Matzenmiller’s Damage Model (Compos Struc, 1995) Damage Modes for UD Composite Fiber Tension/Shear Fiber Compression Fiber Crush Transverse Compression Perpendicular Matrix Crack Parallel Matrix (Delamination) 0 200 400 600 800 1000 1200 1400 1600 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.01 0.20 0.50 1 2 4 10 100 (Table 3) AM1 Axial Tensile Strain, x , mm/mm. Axial Tensile Stress, x , MPa. -900 -800 -700 -600 -500 -400 -300 -200 -100 0 -0.10 -0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0.01 0.20 0.50 1 2 4 10 100 (Table 3) AM1 Axial Compressive Strain, x , mm/mm. Axial Compressive Stress, x , MPa. Tension Compression 0 10 20 30 40 50 60 70 80 90 100 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.01 0.10 (Table 3) 0.20 0.50 1 2 4 10 AM4 XY Shear Strain, xy , mm/mm. XY Shear Stress, xy , MPa. 0 5 10 15 20 25 30 35 40 45 50 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.01 0.10 (Table 3) 0.20 0.50 1 2 4 10 AM4 YZ Shear Strain, yz , mm/mm. YZ Shear Stress, yz , MPa. In-Plane Shear Inter-Laminar Shear -1000 -750 -500 -250 0 250 500 750 1000 1250 1500 -0.20 -0.15 -0.10 -0.05 0 0.05 0.10 0.15 0.20 X-Direction Y-Direction Z-Direction Shear (XY plane) Strain, mm/mm. Stress MPa. -60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60 -0.05 -0.04 -0.03 -0.02 -0.01 0 0.01 0.02 0.03 0.04 0.05 Tension Compression Shear Strain, mm/mm. Stress, MPa. Elastic-plastic Model Progressive Damage Model SINGLE ELEMENT ANALYSIS OF UD S-2 GLASS/SC15
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© 2010, University of Delaware, all rights reserved
BACKGROUND PROGRESSIVE DAMAGE MODEL FOR
UD S-2 GLASS/SC15 RESEARCH GOAL AND SCOPE
Advantages of 3D Fabric Composites:
High Fracture Toughness (GIC, GIIC, GIIIC)
Damage Tolerance
Easy Handling & Infusion
Prediction of the Properties of 2D/3D Woven
Composites
Micro- or Meso-scale Levels through Theoretical
and Finite Element (FE) Analysis
Non-linear Responses and Softening Behaviors
after Damages Have Been Hardly Studied
SINGLE ELEMENT ANALYSIS
OF UD S-2 GLASS/SC15
SUMMARY OF UD S-2
GLASS/SC15 MODEL
SUMMARY OF SC15
INTERSTITIAL RESIN MODEL
MODELING THE PROGRESSIVE DAMAGE IN
2D AND 3D WOVEN FABRIC COMPOSITESS.-G. Kang, B.A. Gama, and J.W. Gillespie, Jr.
University of Delaware . Center for Composite Materials
Research Goal:
Modeling Damage of 3D S-2Glass/SC15 OWF
(orthogonal weave fabric) Composite using
UCM (unit cell model) Approach
Research Scope:
Single Element (SE) Analysis (SEA) of Uni-
Directional (UD) S-2 Glass/SC15 Composites &
Pure SC15 Resin
Mechanical Response Simulation of 3D S-2
Glass/SC15 OWF Composite using the Meso-
Mechanical UCM
Homogenization of 3D S-2Glass/SC15 OWF
Composite Properties3D Orthogonal Weave Fabric
(Bogdanovich, J Mater Sci (2006))
Progressive Composite Damage Model MAT162
in LS-Dyna
Stress-Based Failure Criteria (Hashin , J Appl
Mech, 1980), and Matzenmiller’s Damage Model
(Compos Struc, 1995)
Damage Modes for UD Composite
Fiber Tension/Shear
Fiber Compression
Fiber Crush
Transverse Compression
Perpendicular Matrix Crack
Parallel Matrix (Delamination)
0
200
400
600
800
1000
1200
1400
1600
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.010.200.5012410100 (Table 3)AM1
Axial Tensile Strain, x, mm/mm.
Axia
l T
en
sile
Str
ess,
x,
MP
a.
-900
-800
-700
-600
-500
-400
-300
-200
-100
0
-0.10 -0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0
0.010.200.5012410100 (Table 3)AM1
Axial Compressive Strain, x, mm/mm.
Axia
l C
om
pre
ssiv
e S
tre
ss,
x,
MP
a.
Tension
Compression
0
10
20
30
40
50
60
70
80
90
100
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.010.10 (Table 3)0.200.5012410AM4
XY Shear Strain, xy
, mm/mm.
XY
Sh
ea
r S
tre
ss, x
y,
MP
a.
0
5
10
15
20
25
30
35
40
45
50
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.010.10 (Table 3)0.200.5012410AM4
YZ Shear Strain, yz
, mm/mm.
YZ
Sh
ea
r S
tre
ss, y
z,
MP
a.
In-Plane
Shear
Inter-Laminar
Shear -1000
-750
-500
-250
0
250
500
750
1000
1250
1500
-0.20 -0.15 -0.10 -0.05 0 0.05 0.10 0.15 0.20
X-DirectionY-DirectionZ-DirectionShear (XY plane)
Strain, mm/mm.
Str
ess M
Pa
.
-60
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
-0.05 -0.04 -0.03 -0.02 -0.01 0 0.01 0.02 0.03 0.04 0.05
TensionCompressionShear
Strain, mm/mm.
Str
ess,
MP
a.
Elastic-plastic ModelProgressive Damage Model
SINGLE ELEMENT ANALYSIS
OF UD S-2 GLASS/SC15
© 2010, University of Delaware, all rights reserved
UNIT CELL MODEL (UCM) OF 3D OWF
COMPOSITE
X-COMPRESSIONX-TENSION
MODELING PROGRESSIVE DAMAGE IN
2D AND 3D WOVEN FABRIC COMPOSITES
(Continued)
XY-IN-PLANE SHEAR APPLICATIONXZ-INTER-LAMINAR SHEAR ACKNOWLEDGEMENTS
- Research was sponsored by the Army
Research Laboratory and was
accomplished under Cooperative
Agreement Number W911NF-07-2-0026.
- The authors gratefully acknowledge the
prior funding provided by U.S. Army
Research Office, STTR Phase II contract
DAAD 19-02-C-0044 “3-D Orthogonal
Woven Composites in Armor Systems.”
Partial funding was also provided by the
Composite Materials Technology (CMT,
DAAD19-01-2-0005).
Interstitial Resin Pockets
Z Fibers
Warp (X) and Fill (Y) Tows
: UD S-2 Glass/SC15
2×2 UCM
- Composite Density: 1720.30 kg/m3
- Aerial Density: 9.271 kg/m2 (1.9 psf)
0
50
100
150
200
250
300
350
0 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016
102030100AM1
UCM
Axial Compressive Strain, x, mm/mm.
Axia
l C
om
pre
ssiv
e S
tre
ss,
x,
MP
a.
0
10
20
30
40
50
60
0 0.01 0.02 0.03 0.04 0.05
0.5125AM4
UCM
In-plane Shear Strain, xy
, mm/mm.
In-p
lan
e S
he
ar
Str
ess, x
y,
MP
a.
0
5
10
15
20
25
30
35
0 0.005 0.010 0.015 0.020 0.025
UCM (ZX
)
-------------0.5125AM4UCM (
YZ)
Inter-laminar Shear Strain, mm/mm.
Inte
r-la
min
ar
Sh
ea
r S
tre
ss,
MP
a.
(a) Before Loading (b) Pmax/2 (c) Pmax (d) After Failure
0
100
200
300
400
500
600
0 0.005 0.010 0.015 0.020 0.025 0.030
102030100AM1
UCM
(d) After Failure
(c) Pmax
(b) Pmax
/2
(a) Before Loading
Axial Tensile Strain, x, mm/mm.
Axia
l T
en
sile
Str
ess,
x,
MP
a.
Damage Propagation
Homogenized Properties from Tension/Compression
299.8XCS MPa
0.15SFFC 2 30m
30.2XE GPa
517.5XTS MPa
12 0.0961
1 30m
Stress-Strain Curve and Deformed Shape Stress-Strain Curve and Deformed Shape
Homogenized PropertiesHomogenized Properties
2.67XYG GPa2.20YZG GPa 2.08ZXG GPa
45.6XYS MPa22.8ZXS MPa28.0YZS MPa
4 2m 4 2m
Prediction of Effective
Property For Different 3D OWF Composites
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