I. M. DMYTRAKH and V. V. PANASYUK Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine
5 Naukova Street, Lviv, 79601, UKRAINE
2nd Hungarian - Ukrainian Joint Conference“Safety, Reliability and Risk of Engineering Plants and Components”
Institute for Problems of Strength of NASUKyiv, Ukraine, 19- 21 September 2007
RELIABILITY AND FRACTURE RISK ASSESSMENTRELIABILITY AND FRACTURE RISK ASSESSMENT OF HEAT-AND-POWER-ENGINEERING PIPELINES OF HEAT-AND-POWER-ENGINEERING PIPELINES
WITH CRACK-LIKE DEFECTSWITH CRACK-LIKE DEFECTS
Problem of corrosion and corrosion fatigue damaging of feeding pipelines of heat-and-power generating units under long-term operating conditions is considered. The two main factors were taken into account: degradation of metals properties and purity of operating aqueous environment that causes by ecological pollution of natural water scoop. Corrosion fracture mechanics approach for assessment of workability and fracture risk of pipelines with crack-like defects is proposed, which based on conception of threshold and critical cracks depth and also corrosion fatigue crack growth parameters.
ABSTRACT
LECTURE OUTLINE
1. Introduction
2. Problem of Damaging of Feeding Pipelines of Heat-and-Power Generating Units under Operating Conditions
3. Fracture Mechanics Approach for Assessment of Workability and Fracture Risk of Pipelines with Crack-Like Defects
4. Determination of Corrosion Fatigue Crack Growth Resistance of Feeding Pipelines Metal
5. Forecasting of Workability and Fracture Risk of Feeding Pipelines with Crack-Like Defects from Different Power Plants
6. Conclusions
1. Introduction
Nowadays the pipelines, used for supplying water and oil or other liquids and gases, may be considered as important objects within the social and industrial infrastructure. It has become increasingly paramount to ensure their safe utilisation in order to prevent economical, social and ecological losses.
From an engineering point of view, pipelines are complicated three-dimensional structures that include straight pipes, pipe-bends, dissimilar welded joints, etc. In addition, their operating conditions can be quite severe, that is, internal pressure and cyclic loading (pulsation) combined with the influence of internal and external corrosive environments. The potential synergy of such parameters can lead to an increase in the risk of damage and unexpected fracture of these structures during their long-term exploitation.
Therefore the key challenge for this and similar engineering problems is the development of a reliability and fracture risk assessment tool based upon a scientific understanding of the failure mechanisms occurring in structures subject to corrosion and corrosion fatigue damaging.
This lecture contains the data of corrosion and corrosion fatigue damaging of the feeding pipelines of heat-and-power generating units and also proposes some approaches to expert assessment of their workability and reliability in cases of crack-like defects presence.
2. Problem of Damaging of Feeding Pipelines of Heat-and-Power Generating Units under Operating Conditions
Fig. 1. Corrosion damaging of feeding pipelines of heat-and-power-generating units under operating conditions: general corrosion of surface (a); initiating of localised corrosion (b); corrosion furrows and corrosion pits nucleation (c).
Fig. 2. Typical corrosion fatigue defects in the wall of feeding pipelines: sharp crack (a); blunted cracks (b, c); cracks branching (d).
TABLE 1. Statistic data on the exploitation regimes of power plant units
3. Fracture Mechanics Approach for Assessment of Workability and Fracture Risk of Pipelines with Crack-Like Defects
3.1. CRACK-LIKE DEFECTS MODELLING
C o rro s io n fu r ro w
C o rro s io n p it
iac
jac
C o rro s io n fu r ro w
C o rro s io n p it
iac
jac
Fig. 3. Model presentation of corrosion and corrosion fatigue defects in pipelines wall
3.2. STRESS INTENSITY FACTOR FOR TUBE WITH SEMI ELLIPTICAL CRACK UNDER INTERNAL PRESSURE
αψβ1λ62.0α4.11ββ6.04.0απ
θ2β
k
13.1
β75.01α1
α2β3βπ
θ213.0β48.012.1
π
1cπσΔKΔ
2
f
2
I
201α0;α6015.1
201α,1λ
2 332/1 α1α1ααψ
t2dpΔσΔ
(1)
a/cβ t/cα
3.3. CORROSION FATIGUE CRACK GROWTH RESISTANCE
Θ
0a2
ia2
icΔ
0c ict
0AiA
0BiB '0B '
iB
Θ
0a2
ia2
icΔ
0c ict
0AiA
0BiB '0B '
iB
Θ
0a2 0a2
ia2 ia2
icΔ icΔ
0c0c ic ict
0A0AiAiA
0B0BiBiB '0B'0B '
iB'iB
Θ
0a2
ia2
icΔ
0c ict
0AiA
0BiB '0B '
iB
Θ
0a2 0a2
ia2 ia2
icΔ icΔ
0c0c ic ict
0A0AiAiA
0B0BiBiB '0B'0B '
iB'iB
Θ
0a2 0a2
ia2 ia2
icΔ icΔ
0c0c ic ict
0A0AiAiA
0B0BiBiB '0B'0B '
iB'iB
Θ
0a2 0a2
ia2 ia2
icΔ icΔ
0c0c ic ict
0A0AiAiA
0B0BiBiB '0B'0B '
iB'iB'
0B'0B '
iB'iB'iB'iB
dNdcdNda
thK fcK
IKΔ
nKΔCdNdc
nKΔCdNda
dNdcdNda
thK fcK
IKΔ
nKΔCdNdc
nKΔCdNda
N,Cfac m
(3)
(2)
n
n
KΔCdNda
KΔCdNdc
Fig. 4. Crack growth rate diagram
3.4. THRESHOLD DEFECTS DEPTH CRITERION
3.5. CRITERION OF LIMITATION OF CORROSION FATIGUE CRACK GROWTH RATE
3.6. CRITICAL DEFECTS DEPTH CRITERION
(4)
dNdcdNdc (5)
.constdNdcunderacΦc
.constacunderKΔcc thth
(6)
(7)
(8) .constacunderKΔcc fcfc fcI KΔKΔ
3.7. DIAGRAM FOR ASSESSMENT OF WORKABILITY AND FRACTURE RISK OF PIPELINE WITH CRACK-LIKE DEFECTS
Fig. 5. Schematic view of diagram for assessment of workability and fracture risk of pipeline with crack-like defects
Z o n e o f B r i t t l e F r a c t u r e
Z o n e o f S a f e E x p l o i t a t i o n
acshapeDefects
thcc
fcc
E x p l o i t a t i o n w i t h P r e d i c t e d C r a c k G r o w t h
caFc 1th
caFc 3fc
.constdNdcundercaFc 2
Z o n e o f B r i t t l e F r a c t u r e
Z o n e o f S a f e E x p l o i t a t i o n
acshapeDefects
thcc
fcc
E x p l o i t a t i o n w i t h P r e d i c t e d C r a c k G r o w t h
caFc 1th
caFc 3fc
.constdNdcundercaFc 2
4. Determination of Corrosion Fatigue Crack Growth Resistance of Feeding Pipelines Metal
4.1. EXPERIMENTAL PROCEDURE
C Mn Si Cr Ni Cu S P As Fe 0,12 1,2 0,7 0,3 0,3 0,3 <0,04 <0,03 <0,08 Bal.
Ultimate stress MPa480σU Yield stress MPa250σY
TABLE 2. Chemical composition of steel 16HS (in weight %).
D =219
S=42
50
50
50
a)
b)
c)
Fig. 6. Element of pipe (a) and schematic cutting plan (b).
a) b)
Fig. 7. General view (a) and principal scheme of testing system (b)
b)
F
pH
E
PC
14
13
11
15
1612
105
7
1
2
3
4
6
9
8
F
pH
E
PC
14
13
11
15
1612
105
7
1
2
3
4
6
9
8
12 16
9
4
3
P
1
13 1514
8
76
5
2
11
10
17
12 16
9
4
3
P
1
13 1514
8
76
5
2
11
10
17a)
4.2. CORROSION FATIGUE CRACK GROWTH RESISTANCE DIAGRAMS OF FEEDING PIPELINES METAL
TABLE 3. Corrosion fatigue crack growth resistance data for metal of feeding pipelines
N o S y s t e m “ m a t e r i a l – e n v i r o n m e n t ”
n
C mMPa,K th
mMPa,K fc
1 N e w m e t a l – n o m i n a l
e n v i r o n m e n t 1 1 . 2 1 161071.8 6 . 3 2 2 2 . 0 5
2 N e w m e t a l – w i t h o r g a n i c a d m i x t u r e s
1 0 . 5 5 151002.3 6 . 3 6 2 3 . 7 9
3 E x p l o i t e d m e t a l f r o m P o w e r p l a n t L -
n o m i n a l e n v i r o n m e n t
3 2 . 8 7 331066.1 6 . 8 3 9 . 9 4
4 E x p l o i t e d m e t a l f r o m P o w e r p l a n t L - w i t h o r g a n i c a d m i x t u r e s
1 8 . 3 6 221036.4 6 . 8 6 1 4 . 5 7
5 E x p l o i t e d m e t a l f r o m P o w e r p l a n t V -
n o m i n a l e n v i r o n m e n t
1 4 . 0 7 181066.1 6 . 8 9 1 8 . 3 5
6 E x p l o i t e d m e t a l f r o m P o w e r p l a n t V - w i t h o r g a n i c a d m i x t u r e s
1 0 . 6 6 151024.3 6 . 1 1 2 2 . 8 7
Fig. 8. Corrosion fatigue crack growth diagrams for metal of feeding pipelines. Number of curve corresponds of the number of “material-environment” system given in TABLE 3.
1,00E-07
1,00E-06
1,00E-05
1,00E-04
1,00E-03
1,00E-02
1 10 100
K I , MPa(m) 1/2
dc/d
N, m
m/c
ycle
123456
5. Forecasting of Workability and Fracture Risk of Feeding Pipelines with Crack-Like Defects from Different Power Plants
5.1. TUBES SIZE AND OPERATING CONDITIONS
TABLE 4. Tubes size for feeding pipelines
The four dimension-types of tubes are used for feeding pipelines of heat-and-power generating units (see TABLE 3). High purity water at maximal pressure pmax= 35MPa
serves as operating environment. The possible operating pulsation of pressure is p= 10.5MPa.
Nominal external diameter D, mm, Nominal thickness of wall t, mm Material
526 50
467 45
405 40
165 16
Steel
16HS
5.2. INFLUENCE OF EXPLOITATION TERM
Fig. 9. Diagrams of workability and fracture risk assessment for new (a) and exploited on Power plant L (b) pipes with crack-like defects for nominal environment: 1 - cth; 2 –
c* (dc/dN=10-5 mm/cycle); 3 - c* (dc/dN=10-4 mm/cycle); 4 - c* (dc/dN=10-3 mm/cycle); 5 -
cfc (pipes size: D=526 mm; t=50 mm).
0
10
20
30
0 0,2 0,4 0,6 0,8
Defects shape (c/a)
Cha
ract
eris
tic d
efec
ts d
epth
c th,
c*,
cfc,
mm
1
2
3
4
5
a)
0
2
4
6
8
10
0 0,2 0,4 0,6 0,8C
hara
cter
istic
def
ects
dep
th c
th, c
*, c
fc,
mm
1
2
3
4
5
Defects shape (c/a)
b)
5.3. INFLUENCE OF LOCATION OF DEFECTS AND THEIR SHAPE
Fig. 10. Influence of cross section form of pipe (kf) on threshold cth (a) and critical
cfc (b) defects depth of different shape (new pipes: D=165 mm; t=16 mm; nominal
environment).
0,5
1
1,5
2
2,5
3
3,5
4
0,8 0,85 0,9 0,95 1k f
Thr
esho
ld d
efec
ts d
epth
cth, m
m
0,01 0,05 0,1 0,2
0,4 0,6 0,8
Defects shape ratio c/a
a)
4
6
8
10
12
14
16
0,8 0,85 0,9 0,95 1k fC
ritic
al d
efec
ts d
epth
cfc, m
m
0,01 0,05 0,1 0,2
0,4 0,6 0,8
Defects shape ratio c/a
b)
5.4. INFLUENCE OF ENVIRONMENTAL COMPOSITION AND PIPES SIZE
Fig. 11. Threshold defects depth cth versus defects shape for different size of
pipes from Power plant V: a - operating environment of nominal composition, b - with organic admixtures.
0
0,5
1
1,5
2
2,5
3
3,5
4
0 0,2 0,4 0,6 0,8
Defects shape (c/a)
Thr
esho
ld d
efec
ts d
epth
cth
, mm 526x50
467х45
405х40
165х16
a)0
0,5
1
1,5
2
2,5
3
3,5
4
0 0,2 0,4 0,6 0,8
Defects shape (c/a)T
hres
hold
def
ects
dep
th c
th, m
m 526x50
467х45
405х40
165х16
b)
Fig. 12. Critical defects depth cfc versus defects shape for different size of pipes
from Power plant V: a - operating environment of nominal composition, b - with organic admixtures.
0
5
10
15
20
25
30
35
0 0,2 0,4 0,6 0,8
Defects shape (c/a)
Cri
tical
def
ects
dep
th c
fc, m
m
526x50
467х45
405х40
165х16
a)
0
5
10
15
20
25
30
35
0 0,2 0,4 0,6 0,8
Defects shape (c/a)
Cri
tical
def
ects
dep
th c
fc, m
m
526x50
467х45
405х40
165х16
b)
CONCLUSIONS
1. Problem of corrosion and corrosion fatigue damaging of feeding pipelines of heat-and-power generating units under long-term operating conditions was considered with taken into account of metal degradation and real composition purity of operating aqueous environment.
2. Corrosion fracture mechanics approach for assessment of workability and fracture risk of pipelines with crack-like defects is proposed, which based on conception of threshold and critical cracks depth and also corrosion fatigue crack growth parameters.
3. For assessment of the detected defects in pipelines, the special diagrams are developed, which contain three zones: safe exploitation, brittle fracture risk and zone of exploitation with predicted growth of existed defects. Here, the importance of factors of exploitation term, location and shape of defects and composition of operating environment has been shown.
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