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KIsi Discussion
1
Fall 2015 ASTM Meeting
C
O
Forc
e, P
E399 KIc• Toughness defined by 95% secant• Corresponds to 2% crack growth• As specimen width increases, the crack growth at KQ
increases, creating an R-curve effect for the KQ value
Proposed KIsi• Size insensitive fracture toughness• Alternate analysis method to KIc (not a replacement)• Toughness defined at fixed crack extension (a = 0.5mm)• Secant offset is specimen size and type dependent• Possible toughness increase for small specimens (W<50mm)• Possible toughness decrease for large specimens• Deformation limit is now variable with specimen size:
• bo MK (K/y)2, (bo = W-a)• where MK = 2.5 for KIc and MK ≈ W for KIsi
• Removes the Pmax/PQ requirement
Width OffsetW = 1 C = 10.6%W = 2 C = 5.3%W = 3 C = 4.1%W = 4 C = 2.7%W = 5 C = 2.2%
• Secant Offset for C(T)• SQ[%] = 100 - 135/(W-a)
Introduction
CMOD, V
PVC
Example of Validity Criterion
Approach from Doug Wells and Phillip Allen, Nov. 2012 meetingThey used FEA to investigate compliance change due to plasticity for a C(T) specimenShowed that: Results normalized very well using the compliance
change approach Results relatively insensitive to material Effect of plasticity on K was mostly less than 5%
for W/B = 2, but may be a larger factor for W/B = 4 and for the smallest specimens
Lead to current proposed deformation criterionKIc ligament requirement is: bo MK (K/y)2, where MK = 2.5 for KIc
MK is variable for KIsi
KIsi Ligament Requirement: (K/y)2 < 12.5mm, or MK bo / 12.5 (mm/mm), MK = bo / (K/y)2
3
Increasing load
0.0%
2.0%
4.0%
6.0%
8.0%
10.0%
12.0%
1.010.0C (%
)MK = bo (y/K)2
#28, W = 5.0, B = 2.2
#26, W = 5.0, B = 2.2
KIsi W = 1
KIsi W = 5
KIc Bounds
W&A Plasticity W/B=2
7475‐T7351C(T) SpecimenW = 5”W/B ≈ 2
• Analysis result is plasticity only• For data, compliance change has both plasticity and crack growth
Key differences between KIc and KIsi
Crack growth KIc – fixed 2% crack growth (fixed secant) KIsi – fixed a = 0.5mm crack growth (variable secant)
Pmax/PQ KIc – has Pmax/PQ requirement, which in essence restricts the amount of
stable tearing – basically requiring minimal tearing before fast fracture KIsi – no Pmax/PQ requirement; allows significant stable tearing
Deformation limits KIc – fixed deformation limit (MK = 2.5) KIsi – variable deformation limit (function of specimen size)
4
KIsi Subcommittee Ballot – Closing Statistics (Spring 2014)
5
Sent: 176Returned: 115% Returned: 65
Total Negatives: 5Total Comments: 12
Outstanding Items to Resolve to Go Forward
Documentation in the literature Scibetta - Referenced information for the C(T) and SE(B) secant offset
equations is different from what is in the appendix, and Secant Offset equations and for DC(T), A(T), A(B) are not documented in literature
Confusion about K’s and mandatory versus non-mandatory Lucon - KIsi is called “plane strain fracture toughness” in the terminology
and called “size-insensitive plane strain fracture toughness” in both the title and the body of the appendix
Hartman - Some confusion over what the K’s mean Ruggieri - Which K value should be used? …the toughness parameter
should have a clear and preferably unique definition to characterize the material's fracture resistance irrespective of the user's knowledge.
Link - For KIsi calculation, the validity requirement on mandatory specimen size is given in X1.6.1." Given that this Appendix is non-mandatory, I don't think you can have a mandatory size. I suggest you change the word from mandatory to minimum.
Kang – Keep KIc in the title if KIsi in appendix (e.g. non-mandatory). Change of the title implies an expansion of the concept of the linear-elastic plane strain fracture toughness (Negative).
6
Affirmative with Comment
Outstanding Items to Resolve to Go Forward (cont)
Tregoning – Concern about excluding KIsi from beryllium and high loading rate annexes. Is KIc required, but KIsi optional?
Allen – Deformation limit needs to be a function of specimen sizeShannon – Summary/History of KIc development (~ 4 pgs). Need to validate the method with significant data before standardizing. Concerned about fundamentally different direction.
James – Deformation limit needs published, compliance offset equations need published, validity criteria need validated.
7
Negatives
Way Forward
Agreement on various details of the standard Ballot only at the subcommittee level until documentation and initial data available to support wider
distributionDocument the equations as well as current understanding from analysis about partitioning plasticity and crack growth based deformation Need volunteer(s) to help with the effort Envision this as a natural extension to Kim Wallin’s 2004 paper
Complete initial testing to evaluate both SE(B) and C(T) for W/B and size dependencies, and side grooves (preferably for more than one material) Alcoa has donated material Would like to leverage Doug Wells test matrix Need volunteer(s) Is there existing data available from E1820 tests that can be used?
Document the test results as an experimental basis for the method ASTM report as a minimum, but JTE or similar would be best
Ballot KIsi at the Main committee assuming technical basis is strong
Long term possible goals: Larger round robin with detailed comparison of KIc and KIsi (assuming standardized) Revise to deprecate the graphical method and formalize the computer analysis method Add example data sets
8
9
Damage Tolerance Assessment BranchMSFC Engineering Directorate
1
ASTM Committee MeetingE08.07.03 Surface Cracks
E2899 Business
November 17, 2015
Doug Wells & Phillip AllenNASA MSFC
Damage Tolerance Assessment Branch
Damage Tolerance Assessment BranchMSFC Engineering Directorate
2
Agenda
A. Approval of the minutes from May 2015 meeting in Anaheim, CA
B. Old Business• Analytical round robin phase II update• E740 future plans - Work Item 50037
C. New Business• Review of E2899-15 updates
Damage Tolerance Assessment BranchMSFC Engineering Directorate
3
Analytical Round Robin Phase II
• Preliminary results from the round robin were presented in November 2014.
• Full analysis and reporting of the result set is in process (still……).
• Plan to publish the RR results in a NASA TM (public release)
• Round robin result overview included in back-up
Damage Tolerance Assessment BranchMSFC Engineering Directorate
4
Round Robin Objectives:
1) Determine the consistency in the interpretation of the test evaluation requirements in E2899.
2) Provide guidance/feedback for E2899 A6 - METHODOLOGY FOR PERFORMING ELASTIC-PLASTIC FINITE ELEMENT ANALYSIS AND COMPARISON TO TEST RECORD
3) Provide additional information on the analytical consistency of finite element (FE) methods as prescribed in the standard for future revision of the precision and bias statements.
4) Evaluate use of interpolated nonlinear FE solutions as an alternative to traditional FE analysis through use of TASC*.
Analytical Round Robin Phase II
* Tool for Analysis of Surface Cracks (TASC), https://sourceforge.net/projects/tascnasa/
Damage Tolerance Assessment BranchMSFC Engineering Directorate
5
RR Phase II based on 4142 steel SC(T) test
Analytical Round Robin Phase II
1.75(44.45)
18.00(457.2)
5.00 (127.0)
2.504(63.60)
R2.23(R56.6)
4.50 (114.3)
0.499(12.67)
5.00(127.0)
2.63 (66.8)
• Participants given specimen dimensions, fracture surface photo, material tensile test data, and SC(T) force-CMOD data.
• Asked to follow E 2899 and evaluate the test
Damage Tolerance Assessment BranchMSFC Engineering Directorate
6
RR Phase II participants in random order• Enrico Lucon – NIST• Greg Thorwald – Quest Integrity Group• Igor Varfolomeev - IWM• Jason Bely – Alcoa• Steven Altstadt – Stress Engineering Services• Michael Windisch – MT Aerospace• Ryan Sherman – Purdue University• Francisco Martin – Purdue University• Dawn Phillips – NASA MSFC• Phillip Allen (Lab 1) – NASA MSFC
Analytical Round Robin Phase II
• Participants evaluated the test results using elastic-plastic finite element analysis per E 2899 A6 and/or using TASC
Damage Tolerance Assessment BranchMSFC Engineering Directorate
7
ASTM E740-10 Status
E740 is a surface crack residual strength test method. No crack front parameters are evaluated as a part of this method, with exception of the stress intensity during precracking.
Standard renewed in 2010 now ready for customary 5 year review.
Forward plan:• Keep E740 active• Established work item for E2899 to accommodate residual strength
evaluations as an Annex.• Annex to be used directly or in support of field collapse test
evaluation• Once approved into E2899, Ballot E740 for withdrawal
E740 Items
Damage Tolerance Assessment BranchMSFC Engineering Directorate
8
Summary:ASTM E2899 provides an updated framework for the evaluation of initiation fracture toughness in surface cracks. The long-standing surface crack standard, ASTM E740, is in need of update. In contrast to the initiation toughness measure provided by E2899, E740 provides only a measure of the residual strength in the presence of a surface crack. The residual strength assessment in E740 is currently very limited. There is a desire to develop a more robust residual strength evaluation for the surface crack geometry in the E2899 standard, particularly to handle tests which fall into E2899s field collapse regime, meaning the deformation state in the specimen has exceeded the currently specified limits of validity for determination of the J-Integral fracture toughness parameter. The intent is to develop an annex for E2899 to handle the residual strength surface crack test. Once developed and integrated into E2899, the proposed plan is to ballot E740 for withdrawal. In the meantime, E740 will remain active.
E740 Items
Work Item 50037 has been established:
Damage Tolerance Assessment BranchMSFC Engineering Directorate
9
E2899 Ballot
E2899-15 Release• Three previous ballot items were incorporated in the -15
revision along with some editorial comments and corrections.
• Review updated items by looking at the -15 version.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
10
E2899 Proposed Changes
Clarification of precrack evaluation section
Damage Tolerance Assessment BranchMSFC Engineering Directorate
11
E2899 Proposed Changes
Clarification of Fig 8 nomenclature
Damage Tolerance Assessment BranchMSFC Engineering Directorate
12
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
Crack front conditions and deformation regime assessment
Two parameter, elastic-plastic regime
-1 -0.5 0 0.50
0.01
0.02
0.03
0.04
0.05
0.06
0.07
T-Stress/ys
J/(r
*ys
) =
1/C
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
1/CK1/CJa1/CJbTearing Load
Damage Tolerance Assessment BranchMSFC Engineering Directorate
13
E2899 Proposed Changes
Modifications to A6.3 Force-CMOD Elastic Compliance Comparison
Damage Tolerance Assessment BranchMSFC Engineering Directorate
14
Force-CMOD Comparison, E 2899 A6.3 and A6.4
Analytical Round Robin Phase II
0 0.05 0.1 0.15 0.2 0.25 0.30
100
200
300
400
500
600
700
CMOD (mm)
Forc
e (k
N)
ExperimentLab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10
Note: Lab-9-T force at CMODi exceeds the test Pi by 5.25%, but the analysis results are still included in the following evaluations.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
15
Elastic Compliance Evaluation, E 2899 A6.3
Analytical Round Robin Phase II
Experiment Elastic Slope Determined Using Linear Fit to 20-50% of Max Data Range
Experiment Elastic Slope Determined Using SDAR
Graham-Adler Fitting Algorithm
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.080
100
200
300
400
500
600
Slope % diff. =0.06
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.080
100
200
300
400
500
600
Slope % diff. =2.23
Comparison for Lab-1
Experiment slope = 8111 Experiment slope = 8291
Damage Tolerance Assessment BranchMSFC Engineering Directorate
16
Elastic Compliance Evaluation, E 2899 A6.3
Analytical Round Robin Phase II
Lab Elastic Slope % Diff.Lab‐1 0.06Lab‐1‐T ‐2.88Lab‐2 ‐0.69Lab‐2‐T ‐5.55Lab‐3 2.16Lab‐4 9.27Lab‐5 2.33Lab‐6‐T ‐2.47Lab‐7 1.49Lab‐8 ‐0.63Lab‐9‐T 3.30Lab‐10 ‐1.07
Lab Elastic Slope % Diff.Lab‐1 2.23Lab‐1‐T ‐0.66Lab‐2 1.49Lab‐2‐T ‐3.27Lab‐3 4.28Lab‐4 11.23Lab‐5 4.44Lab‐6‐T ‐0.25Lab‐7 3.62Lab‐8 1.55Lab‐9‐T 5.39Lab‐10 1.11
Experiment Elastic Slope Determined Using Linear Fit to 20-50% of Max Data Range
Experiment Elastic Slope Determined Using SDAR
Graham-Adler Fitting Algorithm
Damage Tolerance Assessment BranchMSFC Engineering Directorate
17
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
0 0.05 0.1 0.15 0.2 0.25 0.30
20
40
60
80
100
120
140
160
CMOD (mm)
J-In
tegr
al (k
J/m2 )
Lab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10final CMOD
Damage Tolerance Assessment BranchMSFC Engineering Directorate
18
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.2580
85
90
95
100
105
110
115
120
CMOD (mm)
J-In
tegr
al (k
J/m2 )
Lab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10final CMOD
Range of J values at CMODi
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 102.97Lab‐2‐T 96.67 Avg. 98.26Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 3.17Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 98.52Lab‐9‐T 99.49Lab‐10 100.17
Damage Tolerance Assessment BranchMSFC Engineering Directorate
19
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
As reported values Corrected Lab 8 value to CMODi
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 102.97Lab‐2‐T 96.67 Avg. 98.26Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 3.17Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 98.52Lab‐9‐T 99.49Lab‐10 100.17
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 114.36Lab‐2‐T 96.67 Avg. 99.58Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 5.63Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 114.36Lab‐9‐T 99.49Lab‐10 100.17
Damage Tolerance Assessment BranchMSFC Engineering Directorate
20
Backup
Analytical Round Robin Phase II
Damage Tolerance Assessment BranchMSFC Engineering Directorate
21
Objectives:1) Determine the consistency in the interpretation of the test
evaluation requirements in E2899. 2) Provide additional information on the analytical
consistency of finite element (FE) methods as prescribed in the standard for future revision of the precision and bias statements. An evaluation of interpolated solutions as an alternative to FE will also be requested through use of the recently developed TASC.
Analytical Round Robin Phase II
To Participate or Ask Questions:Please email us:
[email protected]@nasa.gov
Damage Tolerance Assessment BranchMSFC Engineering Directorate
22
RR Phase II based on 4142 steel SC(T) test
Analytical Round Robin Phase II
1.75(44.45)
18.00(457.2)
5.00 (127.0)
2.504(63.60)
R2.23(R56.6)
4.50 (114.3)
0.499(12.67)
5.00(127.0)
2.63 (66.8)
• Participants given specimen dimensions, fracture surface photo, material tensile test data, and SC(T) force-CMOD data.
• Asked to follow E 2899 and evaluate the test
Damage Tolerance Assessment BranchMSFC Engineering Directorate
23
RR Phase II participants in random order• Enrico Lucon – NIST• Greg Thorwald – Quest Integrity Group• Igor Varfolomeev - IWM• Jason Bely – Alcoa• Steven Altstadt – Stress Engineering Services• Michael Windisch – MT Aerospace• Ryan Sherman – Purdue University• Francisco Martin – Purdue University• Dawn Phillips – NASA MSFC• Phillip Allen (Lab 1) – NASA MSFC
Analytical Round Robin Phase II
• Participants evaluated the test results using elastic-plastic finite element analysis per E 2899 A6 and/or using TASC*
* Tool for Analysis of Surface Cracks (TASC), https://sourceforge.net/projects/tascnasa/
Damage Tolerance Assessment BranchMSFC Engineering Directorate
24
Force-CMOD Comparison, E 2899 A6.3 and A6.4
Analytical Round Robin Phase II
0 0.05 0.1 0.15 0.2 0.25 0.30
100
200
300
400
500
600
700
CMOD (mm)
Forc
e (k
N)
ExperimentLab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10
Note: Lab-9-T force at CMODi exceeds the test Pi by 5.25%, but the analysis results are still included in the following evaluations.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
25
Elastic Compliance Evaluation, E 2899 A6.3
Analytical Round Robin Phase II
Experiment Elastic Slope Determined Using Linear Fit to 20-50% of Max Data Range
Experiment Elastic Slope Determined Using SDAR
Graham-Adler Fitting Algorithm
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.080
100
200
300
400
500
600
Slope % diff. =0.06
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.080
100
200
300
400
500
600
Slope % diff. =2.23
Comparison for Lab-1
Experiment slope = 8111 Experiment slope = 8291
Damage Tolerance Assessment BranchMSFC Engineering Directorate
26
Elastic Compliance Evaluation, E 2899 A6.3
Analytical Round Robin Phase II
Lab Elastic Slope % Diff.Lab‐1 0.06Lab‐1‐T ‐2.88Lab‐2 ‐0.69Lab‐2‐T ‐5.55Lab‐3 2.16Lab‐4 9.27Lab‐5 2.33Lab‐6‐T ‐2.47Lab‐7 1.49Lab‐8 ‐0.63Lab‐9‐T 3.30Lab‐10 ‐1.07
Lab Elastic Slope % Diff.Lab‐1 2.23Lab‐1‐T ‐0.66Lab‐2 1.49Lab‐2‐T ‐3.27Lab‐3 4.28Lab‐4 11.23Lab‐5 4.44Lab‐6‐T ‐0.25Lab‐7 3.62Lab‐8 1.55Lab‐9‐T 5.39Lab‐10 1.11
Experiment Elastic Slope Determined Using Linear Fit to 20-50% of Max Data Range
Experiment Elastic Slope Determined Using SDAR
Graham-Adler Fitting Algorithm
Damage Tolerance Assessment BranchMSFC Engineering Directorate
27
Critical Angle, i, Evaluation, E 2899 A5.2
Analytical Round Robin Phase II
0 10 20 30 40 50 60 70 80 900
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
J/J m
ax*(
T/S
ys+1
) or
J/J m
ax*(
0.25
*T/S
ys+1
)
(deg.)
tear location at =36.00Final Analysis StepFinal step predicted tear at =38.00Analysis Tear PointTear point predicted tear at =36.005% deviation from max.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
28
Critical Angle, i, Evaluation, E 2899 A5.2
Analytical Round Robin Phase II
-30 -20 -10 0 10 20 30
-20
-15
-10
-5
0
5
10
15
20
25
30
W (mm)
B (m
m)
-10 -5 0 5 10
-4
-2
0
2
4
6
8
10
12
14
W (mm)
B (m
m)
Lab i
Lab‐1 37.5Lab‐1‐T 36.0Lab‐2 35.0 Max. 42.80Lab‐2‐T 36.0 Avg. 35.43Lab‐3 40.4 Min. 25.00Lab‐4 37.1 Std. Dev. 4.68Lab‐5 32.5Lab‐6‐T 38.0Lab‐7 34.9Lab‐8 42.8Lab‐9‐T 30.0Lab‐10 25.0
Note: Lab-10 had a error in their T-stress calculation which resulted in a incorrect calculation of i. The Lab-10 corrected value is i = 35°.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
Damage Tolerance Assessment BranchMSFC Engineering Directorate
Damage Tolerance Assessment BranchMSFC Engineering Directorate
31
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
0 15 30 45 60 75 900
20
40
60
80
100
120
Parametric Angle, (deg)
J-In
tegr
al (k
J/m2 )
Lab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10
Note: Lab-8 reported J values were approx. ½ of the actual values likely due to a symmetry plane accounting error in the domain integral calculation. Therefore all Lab-8 values were multiplied by 2 for inclusion in the study.
Range of estimated i values
Damage Tolerance Assessment BranchMSFC Engineering Directorate
32
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
0 0.05 0.1 0.15 0.2 0.25 0.30
20
40
60
80
100
120
140
160
CMOD (mm)
J-In
tegr
al (k
J/m2 )
Lab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10final CMOD
Damage Tolerance Assessment BranchMSFC Engineering Directorate
33
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.2580
85
90
95
100
105
110
115
120
CMOD (mm)
J-In
tegr
al (k
J/m2 )
Lab-1Lab-1-TLab-2Lab-2-TLab-3Lab-4Lab-5Lab-6-TLab-7Lab-8Lab-9-TLab-10final CMOD
Range of J values at CMODi
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 102.97Lab‐2‐T 96.67 Avg. 98.26Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 3.17Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 98.52Lab‐9‐T 99.49Lab‐10 100.17
Damage Tolerance Assessment BranchMSFC Engineering Directorate
34
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
As reported values Corrected Lab 8 value to CMODi
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 102.97Lab‐2‐T 96.67 Avg. 98.26Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 3.17Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 98.52Lab‐9‐T 99.49Lab‐10 100.17
Lab J at i
Lab‐1 101.19Lab‐1‐T 96.80Lab‐2 100.17 Max. 114.36Lab‐2‐T 96.67 Avg. 99.58Lab‐3 99.50 Min. 91.24Lab‐4 94.31 Std. Dev. 5.63Lab‐5 91.24Lab‐6‐T 98.04Lab‐7 102.97Lab‐8 114.36Lab‐9‐T 99.49Lab‐10 100.17
Damage Tolerance Assessment BranchMSFC Engineering Directorate
35
Elastic-Plastic Regime Assessment, E 2899 9.22
Analytical Round Robin Phase II
Crack front conditions and deformation regime assessment
-1 -0.5 0 0.50
0.01
0.02
0.03
0.04
0.05
0.06
0.07
T-Stress/ys
J/(r
*ys
) = 1
/C
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
1/CK1/CJa1/CJbTearing Load
101 102 103 104 1050
10
20
30
40
50
60
70
80
%J pl
astic
r*Sys/J
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
LEFM Deform Limit, C KEPFM Deform Limit, C JaEPFM Deform Limit, C JbTearing Load Point
Two parameter, elastic-plastic regime
Damage Tolerance Assessment BranchMSFC Engineering Directorate
36
TASC Update
• TASC (Tool for Analysis of Surface Cracks) is a computer program created by NASA MSFC that enables easy computation of three-dimensional, nonlinear J-integral (fracture energy) solutions for surface cracked plates in tension.
36
What is TASC?
Test specimen fracture surface
Damage Tolerance Assessment BranchMSFC Engineering Directorate
TASC Accessibility
• A TASC project page is hosted on Sourceforge.net at: https://sourceforge.net/projects/tascnasa/
• TASC can be freely downloaded in Windows® 64-bit standalone executable, Mac OS X® 64-bit standalone application, and MATLAB source file formats.
• No MATLAB license is required for the standalone executable versions license due to the royalty-free MATLAB Complier Runtime distribution provided with the program installation package, and no MATLAB experience is needed due to the simple GUI.
• TASC is released under the NASA Open Source Agreement Version 1.3.
• TASC was posted on Sourceforge on Jan. 28, 2014 and to date has had over 900 downloads
• TASC’s background documentation: Allen, P.A. and Wells, D.N., Interpolation Methodology for Elastic-Plastic J-Integral Solutions for
Surface Cracked Plates in Tension, Engineering Fracture Mechanics 119, 2014, pp 173-201. Allen, P.A. and Wells, D.N., Applications of Automation Methods for Nonlinear Fracture Test
Analysis, ASTM STP1571 on Sixth Symposium on Application of Automation Technology in Fatigue and Fracture Testing and Analysis, Accepted for publication Nov. 2013.
Allen PA, Wells DN. Elastic-Plastic J-Integral Solutions for Surface Cracks in Tension Using an Interpolation Methodology. NASA MSFC; 2013. NASA/TM-2013-217480.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
38
TASC Solution – US Units
Analytical Round Robin Phase II
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
50
100
150
Strain
Stre
ss (
ksi)
LPPL EquationData Table
0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010
50
100
150
Forc
e (k
ip)
CMOD (in)
Jphi
=552.72
Interpolated ResultTest RecordTest Tearing Point5.0% Error Limits
0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010
100
200
300
400
500
600
700
800
J (in
-lb/in
2 )
CMOD (in)
Jel =36.00
Jtotal =36.00
Jel = 90.0
Jtotal = 90.0
Tearing CMOD
0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010
20
40
60
80
100
120
Stre
ss (
ksi)
CMOD (in)
Jphi
=552.72
Section YieldNet Section Yield
Interpolated ResultTest RecordTest Tearing Point5.0% Error Limits
Damage Tolerance Assessment BranchMSFC Engineering Directorate
39
TASC Solution – US Units
Analytical Round Robin Phase II
0 10 20 30 40 50 60 70 80 90-1.05
-1
-0.95
-0.9
-0.85
-0.8
-0.75
-0.7
-0.65
-0.6
-0.55
T-S
tres
s/ys
(deg.)
Final StepTear Pointtear location at =36.00
0 10 20 30 40 50 60 70 80 900
50
100
150
K (
ksi-i
n0.5 )
(deg.)
KJel Final Step
KJtotal Final Step
KJel @ Tear Point
KJtotal @ Tear Point
tear location at =36.00Newman-Raju Eq.
0 10 20 30 40 50 60 70 80 900
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
J/J m
ax*(
T/Sy
s+1)
or
J/J m
ax*(
0.25
*T/S
ys+1
)
(deg.)
tear location at =36.00Final Analysis StepFinal step predicted tear at =38.00Analysis Tear PointTear point predicted tear at =36.005% deviation from max.
0 10 20 30 40 50 60 70 80 900
100
200
300
400
500
600
700
J (in
-lb/in
2 )
(deg.)
Jel Final Step
Jtotal Final Step
Jel @ Tear Point
Jtotal @ Tear Point
tear location at =36.00
Damage Tolerance Assessment BranchMSFC Engineering Directorate
40
TASC Solution – US Units
Analytical Round Robin Phase II
-1 -0.5 0 0.50
0.01
0.02
0.03
0.04
0.05
0.06
0.07
T-Stress/ys
J/(r
*ys
) = 1
/C
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
1/CK1/CJa1/CJbTearing Load
-1 -0.5 0 0.5 1-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
length (in)
leng
th (
in)
101 102 103 104 1050
10
20
30
40
50
60
70
80
%J pl
astic
r*Sys/J
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
LEFM Deform Limit, C KEPFM Deform Limit, C JaEPFM Deform Limit, C JbTearing Load Point
Damage Tolerance Assessment BranchMSFC Engineering Directorate
41
TASC Solution – SI Units
Analytical Round Robin Phase II
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
200
400
600
800
1000
1200
Strain
Stre
ss (
MPa
)
LPPL Equation
0 0.05 0.1 0.15 0.2 0.250
100
200
300
400
500
600
700
800
Str
ess
(MP
a)
CMOD (mm)
Jphi
=96.65
Section YieldNet Section Yield
Interpolated ResultTest RecordTest Tearing Point5.0% Error Limits
0 0.05 0.1 0.15 0.2 0.250
100
200
300
400
500
600
700
Forc
e (k
N)
CMOD (mm)
Jphi
=96.65
Interpolated ResultTest RecordTest Tearing Point5.0% Error Limits
0 0.05 0.1 0.15 0.2 0.250
20
40
60
80
100
120
140
J (k
J/m
2 )
CMOD (mm)
Jel =36.00
Jtotal =36.00
Jel = 90.0
Jtotal = 90.0
Tearing CMOD
Damage Tolerance Assessment BranchMSFC Engineering Directorate
42
TASC Solution – SI Units
Analytical Round Robin Phase II
0 10 20 30 40 50 60 70 80 90-1.05
-1
-0.95
-0.9
-0.85
-0.8
-0.75
-0.7
-0.65
-0.6
-0.55
T-S
tres
s/ys
(deg.)
Final StepTear Pointtear location at =36.00
0 10 20 30 40 50 60 70 80 900
20
40
60
80
100
120
J (k
J/m
2 )
(deg.)
Jel Final Step
Jtotal Final Step
Jel @ Tear Point
Jtotal @ Tear Point
tear location at =36.00
0 10 20 30 40 50 60 70 80 900
20
40
60
80
100
120
140
160K
(M
Pa-
m0.
5 )
(deg.)
KJel Final Step
KJtotal Final Step
KJel @ Tear Point
KJtotal @ Tear Point
tear location at =36.00Newman-Raju Eq.
0 10 20 30 40 50 60 70 80 900
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
J/J m
ax*(
T/Sy
s+1)
or
J/J m
ax*(
0.25
*T/S
ys+1
)
(deg.)
tear location at =36.00Final Analysis StepFinal step predicted tear at =38.00Analysis Tear PointTear point predicted tear at =36.005% deviation from max.
Damage Tolerance Assessment BranchMSFC Engineering Directorate
43
TASC Solution – SI Units
Analytical Round Robin Phase II
101 102 103 104 1050
10
20
30
40
50
60
70
80
%J pl
astic
r*Sys/J
ra =36.00
rb =36.00
ra = 90.0
rb = 90.0
LEFM Deform Limit, C KEPFM Deform Limit, C JaEPFM Deform Limit, C JbTearing Load Point
-30 -20 -10 0 10 20 30-20
-15
-10
-5
0
5
10
15
20
25
30
length (mm)
leng
th (
mm
)
E1921 Ballot Items & Results
Mikhail SokolovORNL
Rob TregoningNRC
ASTM Committee WeekNovember 17, 2015
November 17, 2015 ASTM E08 Committee Week Meetings Page 2 of 5
E08 (15-03), Item 13: Guidance for E(T)
Objective Provide guidance on value of E(T) for use in pretest compliance
check, post-test crack length verification, and Jc conversion
Overview of changes Provide equation for E(T) in 8.6.2 Linear equation is accurate within 0.5% of ferritic steel values in
ASME, Section II, Part D between -200C to 300C
Initial Ballot E08 (14-03), Item 4 Several persuasive negatives and comments received
E08 (15-03) ballot revision Rectifies error in applicable temperature range for equation for E Clarifies temperature units in equation are oC Specifically defines the ASME Code data used to derive equation
November 17, 2015 ASTM E08 Committee Week Meetings Page 3 of 5
E08 (15-03), Item 13: Balloted Revision
Proposed changes to 8.6.2 – unanimous concurrence from task group members during November 2014 meeting “…The nominal value of E shall come from either handbook values or
dedicated modulus testing per ASTM E111 or equivalent. Separate tensile test results do not provide accurate elastic modulus values. Alternatively, the following equation can be used to determine the nominal value of E:E = 204 – T/16 GPa, where T is the test temperature in oC.This equation was derived by a fitting the tabular values for ferritic steels contained in ASME Section II, Park D. The fit is valid for -200oC ≤ T ≤ 300oC.
November 17, 2015 ASTM E08 Committee Week Meetings Page 4 of 5
E08 (15-03), Item 13 Results
Ballot closed on 9/29/15 Ballot statistics:
E08: 252 sent 191 returned (76%) E08.07: 167 sent 104 returned (62%)
Comments Juan Donoso Jude Foulds Markus Heinimann Enrico Lucon Marc Scibetta
Item Affirm. Neg. Comm. Abst. Per.
4: E(T) Guidance E08 98 0 5 93 100 E08.07 63 0 3 41 100
November 17, 2015 ASTM E08 Committee Week Meetings Page 5 of 5
E08 (15-03), Item 13: Comments
Lucon, Scibetta, Heinimann caught additional “a” in “…equation was derived by a fitting the tabular values for ferritic…” This will be deleted in final version.
Donoso, Foulds correctly indicated that ASME reference should be “Part D” and not “Park D”. This will be corrected in the final version.
Foulds suggested more complete reference to ASME Boiler and Pressure Vessel Code. This will be adopted in the final version.
Enrico Lucon: Other comments Suggested editorial corrections on spacing, use of italics, and adding an
equation number will be handled by ASTM editor using conventional ASTM practice.
Not clear what term “separate” tensile test means (in sentence above ballot). Maybe use “non-dedicated”
Discuss this concern
Central Research Institute of Electric Power Industry
Proposal of mitigation in dimensional tolerance requirements in ASTM E1921
Proposal of change in mechanical notch requirement in ASTM E1921
1
ASTM E08 meeting, Nov. 2015
November 17, 2015
Masato Yamamoto, CRIEPIKim Wallin, VTT
Naoki Miura, CRIEPI
Background
Master Curve approach using Mini‐C(T)specimens (4 mm‐thickness) is promising method
Can be taken from broken halves of Charpy specimens used for surveillance program
Some of current dimensional requirements are severer for smaller specimens
2
Outline of proposal
Mitigation in dimensional tolerance requirements for C(T) specimens
Change in specification of mechanical notchshape and dimension requirement C(T)specimensIt was agreed to proceed to ballot for the mitigation of notch height N for 0.16T (4mm‐T) C(T) specimens (May 2015)
3November 17, 2015
MITIGATION OF TOLERANCE
4November 17, 2015
Requirements of dimensional tolerances ASTM E1921 gives dimensional tolerances of C(T) specimens as relative valuesThose requirements were set assuming larger (1inch‐T) specimens,considering available machining and measurement preciseness.
5November 17, 2015
PVP 2015‐45505
6
Miura et. al addressed themitigation of tolerance requirement for 4mm‐T Mini‐ C(T) specimensChange in KJ in various tolerance values was determined by 3‐D finite element analyses
Mitigation of tolerances of B, W, L, 2H and GL to ±0.1mm (0.0125W) gives negligibly small change in KJ
November 17, 2015
2H
Wam af
90N
D
GLL D
LB
D2
D2
D1
D1
Analysis Model
Mini‐ C(T) specimens Variable dimensions: B, am, W, L, 2H, N, and GL Fixed dimensions: af, LD, and D
7
Analysis Matrix
8
Effect ofnotch height
Effect of thickness
Effect of crack length
Effect of width
Effect of length
Effect of height
Effect of GL
Base case
0.1mm = 0.0125W
Effect of Dimensional Tolerances
Comparison of two KJs
K0 : derived from J by finite element analysis index in which all dimensional factors are taken into account
Kc : derived from J by ASTM E1921 for load vs. load‐line displacement relation obtained from finite element analysis can be considered as the index to judge whether dominant
dimensional factors are properly considered in ASTM E1921
9
Effect of Dimensional Tolerances
Both K0 and Kc normalized by values for standard dimension case Values of K0 and Kc where they approximately reach maximum
fracture toughness capacity, KJc(limit)
10
0.90
0.95
1.00
1.05
1.10
3.4 3.6 3.8 4.0 4.2 4.4 4.6
Normalized
KJ
Crack length, mm
Dimensional tolerancein ASTM E1921
K0Kc
Change of 10% (0.4 mm) in a causes approximate variation of 5% in KJTrend is similar both for K0 and Kca is one of dominant factors to impact on KJ, nevertheless, contribution of amust be properly considered in ASTM E1921
Effect of crack length on normalized KJ
Effect of Dimensional Tolerances
11
Situation is similar for contributions of B and WChanges of 0.1 mm in B or W induce variation of KJ less than 1%
0.98
0.99
1.00
1.01
1.02
3.85 3.90 3.95 4.00 4.05 4.10 4.15
Normalized
KJ
Specimen thickness, mm
Dimensional tolerancein ASTM E1921 K0
Kc
0.98
0.99
1.00
1.01
1.02
7.85 7.90 7.95 8.00 8.05 8.10 8.15
Normalized
KJ
Specimen width, mm
Dimensional tolerancein ASTM E1921 K0
Kc
Effect of thickness on normalized KJ Effect of width on normalized KJ
Effect of Dimensional Tolerances
12
Effects of L, 2H, GL, and N implicitly considered in K0, while they cannot be taken into account in KcThese effects are still limited within assumed range of dimensions
0.98
0.99
1.00
1.01
1.02
9.85 9.90 9.95 10.00 10.05 10.10 10.15
Normalized
KJ
Specimen length, mm
Dimensional tolerancein ASTM E1921
K0Kc
0.98
0.99
1.00
1.01
1.02
9.45 9.50 9.55 9.60 9.65 9.70 9.75
Normalized
KJ
Specimen height, mm
Dimensional tolerancein ASTM E1921
K0Kc
0.98
0.99
1.00
1.01
1.02
2.55 2.70 2.85 3.00 3.15 3.30 3.45
Normalized
KJ
Gauge length, mm
K0Kc
0.90
0.95
1.00
1.05
1.10
0.0 0.1 0.2 0.3 0.4 0.5 0.6
Normalized
KJ
Notch width, mm
K0Kc
Effect of length on normalized KJ Effect of height on normalized KJ
Effect of GL on normalized KJ Effect of notch height on normalized KJ
0.01
W
0.06
3W
Notch height, mm
Proposal on tolerances
Mitigation of the red‐marked tolerances to 0.0125W (or 0.013W)(0.1mm in Mini‐C(T))
13
2.2
0.04
2.2
0.04
( )
3
a0 (4±0.4)W (8±0.04)
L (10±0.08)
D (2±0.04)
2H (9
.6±0
.08)
B (4±0.08)
0.8 at side surface
N
E1921‐14e1 ProposalW, am, D 0.005W 0.0125WL, B, 2H 0.010W 0.0125WNovember 17, 2015
CHANGE IN MECHANICAL NOTCH SHAPE AND DIMENSION REQUIREMENT
14November 17, 2015
Requirement of mechanical notch shape anddimension
Maximum height of narrow groove, N, is 0.01W, which gives too narrow (0.08mm) for Mini‐ C(T) specimens.
Minimum crack requirement Minimum crack length for streight notch is 1.3mm, which is too large for the Mini‐C(T) speicmen
15
ASTM E1921 specify the acceptable envelope for mechanical notch and pre‐crack.
November 17, 2015
Sensitivity of notch envelope angle on K
16November 17, 2015
KN : K for ideal crack (H=0)KC(T) : K for machining notch and precrack
H, h+Δaf , and angle of β are important to be included as the notch requirement
0.90
0.95
1.00
1.05
1.10
0.0 0.1 0.2 0.3 0.4 0.5 0.6
Normalized
KJ
Notch width, mm
K0Kc
Notch height, mm
Notch Shape effect in PVP2015‐45505
Mitigation of maximum notch height does not significantly affect the evaluation of KJ
17
2H
Wam af
90N
D
GLL D
L
D2
D2
D1
D1
N : 0 – 0.5mmΔaPC : 0.6 mm
ΔaPC= 1.2N
ΔaPC= 1.36
6N
N=0.001
W
Minimum Δapc to keep the current requirementfor notch and crack envelope
Notch angle,α (deg)
minimumΔapc
Remark
180 1.866N Rectangular notch with no sharpened zone
90 1.366N Similar to narrow notch with circular profile
60 N Maximum angle for wide notch
< 20.1 0.5N Angle where 0.5N is sufficient to keep the envelope
18November 17, 2015
Relationship between required minimum Δapc and W
Documented specification in Fig. 5 for both of Narrow and Wide notches not always suffice the envelope requirement
19November 17, 2015
0
0.5
1
1.5
2
2.5
3
0 50 100 150 200 250
Minim
um Δa_pc, m
m
Sepcimen width, W, mm
Δa_pc current (Narrow, N=0.01W)
Grater of 0.5N or 0.6mm, Narrow, N=0.01W
Narrow notch with maximum notch height
0
1
2
3
4
5
6
7
0 50 100 150 200 250
Minim
umΔa
_pc, m
m
Sepcimen width, W, mm
Δa_pc current (α<40.2, N=0.063W or 6.25)
Δa_pc current (α=60, N=0.063W or 6.25)
Grater of 0.5N or 1.3mm, Wide, N=0.063W
Wide notch with maximum notch height
Proposal for notch height requirement (1)
20
Eliminating the specific requirement for “Narrow” and “Wide” notch
Any of notch shapes are acceptable if the requirement for maximum N (relative to W) Sum of precrack length and
sharpened notch length (relative to N)are satisfied.
Proposal for requirement
Maximum Notch Height 0.063W
Sum of precrack length and sharpened notch length 2.0N
Minimum Precrack Length 0.5N
Comparison of Δapcbetween current and proposed requirements
21November 17, 2015
0
5
10
15
20
25
30
0 50 100 150 200 250
Minim
um Δa_pc, m
m
Sepcimen width, W, mm
Δa_pc proposal (α<40.2, N=0.063W) Δa_pc proposal (α= 60, N=0.063W) Δa_pc proposal (α=90, N=0.063W) Δa_pc proposal (α=180, N=0.063W) Δa_pc current (α<40.2, N=0.063W or 6.25) Δa_pc current (α=60, N=0.063W or 6.25)
Development of a Precision & Bias Statement for E1921 High Rate Annex
and proposed modifications to Section 12
E. Lucon & J. Splett - NIST, Boulder CO (USA)
ASTM E08.07.06 Task Group on Ductile-to-Brittle TransitionTampa FL, 17th November 2015
Background
A new Annex A1 to E1921 has been successfully balloted on “Special Requirements for Determining the Reference Temperature, To,X, at Elevated Loading Rates” [E1921-15].
It collects provisions previously scattered inside the main body of the Standard, plus references to Annex A17 of E1820-13 (Fracture Toughness Tests at Impact Loading Rates using Precracked Charpy-Type Specimens).
A new P & B statement for Annex A1 is proposed. It was developed from the statistical analysis of an interlaboratory study on the measurement of To from impact-tested PCC specimens (IAEA CRP-8, conducted between 2006-2009).
Some of the lessons learned will be used to propose modifications of the current Section 12 (P & B) of ASTM E1921-15.
Interlaboratory Study considered
IAEA CRP-8, “Master Curve Approach to Monitor Fracture Toughness of Reactor Pressure Vessels in Nuclear Power Plants,” Topic Area 2: Loading Rate Effects and Qualification of Impact Fracture Toughness
Round-Robin Exercise on Impact Fracture Toughness (Dynamic Master Curve analysis) using Charpy-type precracked (PCC) specimens• 10 participants
• 10 PCC specimens tested by each participant between -30 °C and 10 °C
• JRQ steel (A533B cl. 1)
• Loading rate/impact speed: 1.2 m/s.
Presentation given on May 17th, 2015 at ASTM Workshop on Fracture Toughness Testing and Evaluation at Elevated Loading Rates
Justification and Theoretical Background
Data do not conform to the requirements of E691 (Standard Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method) because T0 and its σ do not represent typical means and σ is based on repeated measurements.
However, the definition of repeatability and reproducibility from E691 can be used.
Each T0 is considered to be based on a sample size of 1 for analysis purposes.
Calculated standard deviations are similar, so estimates were “pooled” to obtain the repeatability standard deviation.
Precision Statement
Statistics were calculated using the standard deviation of participants’ individual T0 (calculated using Eq. 30 or E1921).
One participant was excluded after being statistically identified as an outlier.
Since calculated sR < sr, it is set sR = sr in accordance with E691.
Parameter Number of determinations Average
Repeatability Standard
Deviation, sr
Reproducibility Standard
Deviation, sR
Repeatability Limit, r
Reproducibility Limit, R
T0, °C 9 -0.1 7.40A 7.40B 20.7 20.7
Proposed modification of current E1921 Section 12 (Precision and Bias)
• Proposal: simplify, improve, and correct the estimates of repeatability and reproducibility for both single-T and multi-T methods of estimating T0.
• Rationalea) New analysis is simpler than current analysis.
b) It corresponds to E691 for the special case where each lab supplies a single T0 and its associated uncertainty (eq. 30).
c) Paule-Mandel method is no longer needed.
d) Will be consistent with the P & B analysis of elevated loading rate data (Annex A1 in E1921-15).
Modified Section 12
Single T
Multi T
CURRENT
CURRENT
REVISED
REVISED