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Handbook of the Crack Propagation sensitivity Index. László TÓTH, Nóra SZŰCS Szabolcs SZÁVAI. Level of. SAFETY. The Basic Terms of Technical-Economic Life. Safety Reliability Risk Costs. At a given technical level !!. Paul GAUGUIN , 1897 (Boston, Museum of Fine Arts). - PowerPoint PPT Presentation
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2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
László TÓTH, László TÓTH,
Nóra SZŰCSNóra SZŰCS
Szabolcs SZÁVAISzabolcs SZÁVAI
Handbook of the Crack Propagation Handbook of the Crack Propagation sensitivity Indexsensitivity Index
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
The Basic Terms of The Basic Terms of Technical-Economic Life Technical-Economic Life
Safety Safety
ReliabilityReliability
RiskRisk
CostsCosts
Level of
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
At a given technical level !!
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Where We come from? What We Are? Where we are going?
Paul GAUGUIN, 1897 (Boston, Museum of Fine Arts)
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
The Driving Forces of The Driving Forces of DevelopmentDevelopment
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
0
500
1000
1500
2000
2500
3000
3500
Mill
ion
oper
atio
n/se
cond
s
1978 1982 1985 1989 1993 1995 1997 1998 1999 2000 2001 2002 2006
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
NDE BNDE Backgroundackground
19501950 20020066
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Crack Propagation Sensitivity IndexConcept
K,J,G
Crack Size
Crack Growth Resistance
CPSI
Safety Factor
UNIT
K-a
dK/da
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Crack size
Component 1 Component 2
KIc
Str
ess
Inte
nsi
ty F
acto
rRequired NDE reliability
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
• loading conditions,
• flaw location,
• flaw geometry
CPSI= f
K=.f(a,geometry)
CPSI=dK/da= .{[f(a,geometry)]/da} CPSI
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
EExamplexample 1 1
pRK F a
t
2
3 4 5
1 0.072449 0.64856
0.2327 0.038154 0.0023478
F
a
Rt
CYLINDER UNDER INTERNAL PRESSURE WITH AXIAL CRACK
Through-Thickness Crack
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Derivate Derivate FFunctionsunctions
,
1
2
dK dF pR pRa F
da da t t a
dF d
da da
2 3 40.072449 1.29712 0.6981 0.152616 0.011739
1d
da Rt
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
EExamplexample 2 2
4
11 4
c a
aat
K Ka cc
2 2
a 2 20.97 0.5i a i
a i i
R R R a tK F a
R R R t R
SPHERICAL SHELL UNDER INTERNAL PRESSURE WITH CRACK
Embedded Elliptical Crack (Centred)
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
2
pR
t
2 4
1 2 3
a aM M M
t tF
Q
1.65
1 1.464a
Qc
1 1M 2 3
2
0.05
0.11
Mac
3 3
2
0.29
0.23
Mac
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Derivate Derivate FFunctionsunctions
2 2a
2 2
2 2
2 2
0.97 0.5
1 10.97 0.5 0.97
2 4
i a i
a i i
i a i i
a i i i
dK R R RdF a ta
da da R R R t R
R R R Ra t tF F aR a R R t R R Rat
3 4 4
244 44
4 42 1
4 1 4 14 1
121 4
c aa
a a aa
a aaa t tctc ccdK dK at
Kada da c acc
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
2 4 2 4331 2
2 3 1 2 32 4
12 4
2
dMdM dM a a a a a a dQM M Q M M M
da da t t da t t t t dadF
da Q Q
0.65
1.652.4156
dQ a
da c
1 0dM
da
223
32
2
0.075
0.11
dM a
daa
cc
323
32
2
0.435
0.23
dM a
daa
cc
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
More illustrationMore illustration
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
The derivate functions are ready yet:The derivate functions are ready yet:• For 74 cases including:
• Plates• Pipes and Cylinders• Spherical sells and Spheres• Round bars and bolts• Component with hole
• The software for calculating the CPSI=dK/da for 12 cases including:
• Plates• Pipes and Cylinders
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
CONCLUSIONSCONCLUSIONSThe integrity of the structures can be evaluated at a given technical level
The CPSI concept is the only tool to link the safety requirement of a structure and the NDE requirements
Introducing the CPSI concept a COST EFFECTIVE NDE can be achieved
Collection of the K-solutions, i.e the K vs. crack geometry (size) in a handbook
Preparation of their derivative functions
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Further Further TTasksasksPreparation of more derivative function
Preparation of a guideline for the given type of component (tubes, vessels, turbine blades, etc)
Optimization of NDE (method, personnel, equipment, etc.)
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Zoltán Bay (1900 - 1992)
• He measured the distance between the Earth and the Moon using micro-wave technology (1946), Radar Astronomy
• Re-definition of the unit of the distance, meter (1965-1983)
2nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS September 19-21, 2007. Kyiv
Thank you for your kind attention