Evaluation of the Puck Failure Theory for Fiber Reinforced Composites
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Evaluation of the Puck Failure Theory for Fiber Reinforced Composites Student Name 20 April 2009 ME7501
description
Evaluation of the Puck Failure Theory for Fiber Reinforced Composites. Student Name 20 April 2009 ME7501. Introduction. Failure Theories Compressive Transverse Stress Shear Stress. Objective. Evaluate the relative performance of Puck’s Failure theory with more traditional theories - PowerPoint PPT Presentation
Transcript of Evaluation of the Puck Failure Theory for Fiber Reinforced Composites
Evaluation of the Puck Failure Theory for Fiber Reinforced Composites
Student Name20 April 2009ME7501
Introduction
Failure Theories
Compressive Transverse Stress
Shear Stress
Objective
Evaluate the relative performance of Puck’s Failure theory with more traditional theories
Consider udfrc subjected to Transverse and Shear Loading
Failure Theories
Limit– Max Stress/Strain
Interaction– Tsai-Wu– Hill-Tsai
Separate Mode– Hashin-Rotem– Puck
Puck Failure Theory
Separate Mode
Based on Coulomb-Mohr theory for the failure of brittle materials– ‘The stresses on the fracture plane are decisive for fracture’
-Otto Mohr 2 modes of failure
– Fiber– Inter-Fiber
Location of fracture
Puck Failure Theory: Inter-Fiber Failure
Puck Failure Theory: Inter-Fiber Failure
D
T
T
D
DTT
T
S
SpS
S
SSSS
S
pp
pp
1
1
2
2
21
21
1
1
21
1
122
2121
21
1
1
11
2
12
2||2
2||221
1
||
2
||
2
c
AR
2121
20 and02
Ac
R 21
2
210 and02
)(2121
)(||
)(
)(||)(
||
21
22120)(
||
22120)(
||
21
1212
0for curve ) ,( of
0for curve ) ,( of
21
21
22
21
22
21
pS
pp
ppSR
p
p
c
SR
SSA
dd
dd
A
T
Failure Mode Failure Equation Conditional Requirement(s)
02 0 A, Mode fp
0 B, Mode fp
2
1cos
0 C, Mode
A
w Rffp
fp
Additional and Intermediate Results:
D
T
T
D
DTT
T
S
SpS
S
SSSS
S
pp
pp
1
1
2
2
21
21
1
1
21
1
122
2121
21
1
1
11
2
12
2||2
2||221
1
||
2
||
2
c
AR
2121
20 and02
Ac
R 21
2
210 and02
)(2121
)(||
)(
)(||)(
||
21
22120)(
||
22120)(
||
21
1212
0for curve ) ,( of
0for curve ) ,( of
21
21
22
21
22
21
pS
pp
ppSR
p
p
c
SR
SSA
dd
dd
A
T
Failure Mode Failure Equation Conditional Requirement(s)
02 0 A, Mode fp
0 B, Mode fp
2
1cos
0 C, Mode
A
w Rffp
fp
Additional and Intermediate Results:
Puck Failure Theory: Master Fracture Body
Puck Failure Theory: AS4/55A
Puck Failure Curves for AS4/55A Composite
0
10
20
30
40
50
60
70
80
-120 -100 -80 -60 -40 -20 0 20 40
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
AS4/55A Data Puck--0.6 Puck--0.5 Puck-0.4
Puck Failure Theory: AS4/55A
Puck Failure Curves for AS4/55A Composite
0
10
20
30
40
50
60
70
80
-120 -100 -80 -60 -40 -20 0 20 40
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
AS4/55A Data Puck--1.75 Puck--1.5 Puck-1.25
55.00for 2022
21
dd
Puck Failure Theory: AS4/55A
Proposed Puck Failure Curve and Fracture Angle for AS4/55A Composite
0
10
20
30
40
50
60
70
80
-120 -100 -80 -60 -40 -20 0 20 40
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
Frac
ture
Pla
ne A
ngle
[deg
]
AS4/55A Data Proposed Puck Failure Curve Fracture Plane Angle
55.00for 2022
21
dd [
022
21
dd for 2 ≥ 0] = 1.75
Mode AMode BMode C
Puck Failure Theory: AS4/55A
Failure Curve Comparison for AS4/55A Composite
0
10
20
30
40
50
60
70
80
-120 -100 -80 -60 -40 -20 0 20 40
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
AS4/55A Data Puck Max Stress Hill-Tsai Tsai-Wu
Maximum Shear Stress Point
Conclusions
Good performance leading up to and immediately after maximum shear stress point
Good transitional performance between tensile and compressive transverse stress
Poor performance near maximum compressive stress
Requires test data for optimal performance
References
Sun, C.T., Quinn, B.J., Tao, J., and Oplinger, D.W., “Comparative Evaluation of Failure Analysis Methods for Composite Laminates”, DOT/FAA/AR-95/109, May 1996.
Puck, A. and Schürmann, H., “Failure analysis of FRP laminates by means of physically based phenomenological models”, Comp. Sci. and Techn. 58 (1998) 1045-1067.
Lutz, G., “Fibrous Composite Failure Criteria - Fact and Fantasy.” CDCM 2006 - Conference on Damage in Composite Materials 2006, Stuttgart, Germany, September 18-19, 2006.
Back-up Slides
Failure Curve Comparison for T800/3900-2 Composite
0
20
40
60
80
100
120
140
-250 -200 -150 -100 -50 0 50 100
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
T800/3900-2 Data Puck Max Stress Hill-Tsai Tsai-Wu
Maximum Shear Stress Point
Back-up Slides
Failure Curve Comparison for Scotch-Ply (Type 1002) Composite
0
10
20
30
40
50
60
70
80
-160 -140 -120 -100 -80 -60 -40 -20 0 20 40
Ultimate 2 [MPa]
Ulti
mat
e 2
1 [M
Pa]
Scotch-Ply Data Puck Max Stress Hill-Tsai Tsai-Wu
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