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Procedia Structural Integrity 18 (2019) 205–213
25th International Conference on Fracture and Structural Integrity
25th International Conference on Fracture and Structural Integrity
Influence of temperature on fracture toughness values in different
Influence of temperature on fracture toughness values in different
regions of A-387 Gr. B welded joint
regions of A-387 Gr. B welded joint
Ivica Čamagićaa, Simon A. Sedmakb,b,*, Aleksandar Sedmakcc, Zijah Burzićdd
Ivica Čamagić , Simon A. Sedmak *, Aleksandar Sedmak , Zijah Burzić
a
Faculty of Technical Sciences, 7 Kneza Miloša Street, K. Mitrovica, Serbia
a
Faculty
Technical
Sciences, 7 Kneza
Miloša16
Street,
K. Mitrovica,
Serbia
Innovation Center
of theofFaculty
of Mechanical
Engineering,
Kraljice
Marije Street,
Belgrade, Serbia
b
c
Innovation Center
of of
theMechanical
Faculty of Mechanical
16 Kraljice
Marije
Street,
Belgrade, Serbia
Faculty
Engineering,Engineering,
16 Kraljice Marije
Street,
Belgrade,
Serbia
cd
Faculty
Mechanical
Engineering,
16 Kraljice
MarijeStreet,
Street,Belgrade,
Belgrade,Serbia
Serbia
MilitaryofInstitute
of Techniques,
1 Ratka
Resanovića
d
Military Institute of Techniques, 1 Ratka Resanovića Street, Belgrade, Serbia
b
Abstract
Abstract
The influence of temperature on fracture toughness values in different regions of a welded joint is analysed low-alloyed Cr-Mo steel
The influence
of temperature
ontemperature
fracture toughness
valuesHeterogeneity
in different regions
of a weldedand
jointproperties
is analysed
low-alloyed
steel
A-387
Gr. B, designed
for high
applications.
of microstructure
of welded
joint Cr-Mo
is evaluated
A-387
Gr. standard
B, designed
high temperature
applications.
of microstructure
and properties
of welded
joint isweld
evaluated
by testing
3BPfor
specimens
with crack
tip locatedHeterogeneity
at different regions
of a joint, including
the base
metal (BM),
metal
by testing
3BP specimens
with
crack tip located
at different
regions
a joint,
includingand
theatbase
metal
(BM),temperature,
weld metal
(WM)
and standard
heat-affected-zone
(HAZ).
Experiments
were performed
both
at the of
room
temperature
design
working
(WM)
and
heat-affected-zone
(HAZ).
Experiments
were
performed
both
at
the
room
temperature
and
at
design
working
temperature,
540�C. Based on these results, temperature effect on crack resistance is established for all different regions in a welded joint.
540�C. Based on these results, temperature effect on crack resistance is established for all different regions in a welded joint.
© 2019 The Authors. Published by Elsevier B.V.
©
2019
Published
by Elsevier
B.V. B.V.
©
2019The
TheAuthors.
Authors.
Published
by
Peer-review
under
responsibility
of Elsevier
the Gruppo
Italiano
Frattura
(IGF) ExCo.
Peer-review
under
responsibility
of the
Gruppo
Italiano
Frattura
(IGF) ExCo.
Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo.
Keywords: : low-alloyed steel; welded joint; crack; plane strain fracture toughness, critical crack length.
Keywords: : low-alloyed steel; welded joint; crack; plane strain fracture toughness, critical crack length.
1. Introduction
1. Introduction
By analysing the brittle behaviour of bodies with cracks, fracture mechanics provided new possibilities for ensuring
By analysing
the brittle
behaviour
bodies
withdetermining
cracks, fracture
mechanics
provided
new
possibilities
forcompletes
ensuring
welded
joint safety.
Standard
ASTM of
E399
[1] for
of fracture
toughness
under
plain
strain, KIc,
completes
welded
joint
safety.
Standard
ASTM
E399
[1]
for
determining
of
fracture
toughness
under
plain
strain,
K
Ic,
the process of linear elastic fracture mechanics application to real structures, made of high strength materials, wherein
the process
linearresults
elasticinfracture
mechanics
application
to real structures,
madeofofsuch
hightests
strength
materials,
wherein
presence
of of
cracks
plane strain
state. The
main condition
for the validity
is that
the plastic
strain
presence
of
cracks
results
in
plane
strain
state.
The
main
condition
for
the
validity
of
such
tests
is
that
the
plastic
is only present in a negligible area around the crack tip, prior to crack propagation and fracture. Since for strain
most
is only present in a negligible area around the crack tip, prior to crack propagation and fracture. Since for most
* Corresponding author.
* Corresponding
E-mail address:author.
simon.sedmak@yahoo.com
E-mail address: simon.sedmak@yahoo.com
2452-3216 © 2019 The Authors. Published by Elsevier B.V.
2452-3216
2019responsibility
The Authors. of
Published
by Elsevier
Peer-review©under
the Gruppo
Italiano B.V.
Frattura (IGF) ExCo.
Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo.
2452-3216 2019 The Authors. Published by Elsevier B.V.
Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo.
10.1016/j.prostr.2019.08.155
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Sergio Cicero et al./ Structural Integrity Procedia 00 (2019) 000–000
206
2
structural materials and welded joints, the plastic strain area around the crack tip is large, direct determining of the KIc
parameter is not possible, and its application to real conditions is limited.
Parent material (PM) testing, as well as testing of welded joint components (weld metal – WM and heat affected
zone - HAZ) of a low-alloyed steel involved the determining of fracture mechanics parameters of the PM and welded
joint components, at room temperature and at an elevated temperature of 540°C, [2].
2. Materials for testing
The parent material was steel A-387 Gr. B with thickness of 102 mm. Chemical composition and mechanical
properties of the PM are given in tables 1 and 2, [2, 3].
Table 1. Chemical composition of PM specimens
Specimen mark
N
% mas.
C
Si
Mn
P
S
Cr
Mo
Cu
0,13
0,23
0,46
0,009
0,006
0,85
0,51
0,035
Table 2. Mechanical properties of PM specimens
Specimen mark
N
Yield stress,
Tensile strength,
Elongation,
Rp0,2, MPa
Rm, MPa
A, %
325
495
35,0
Impact energy, J
165
Welding of steel sheets made of this parent material was performed in two stages, according to the requirements
given in the welding procedure provided by a welding specialist, and these stages include:
Root weld by E procedure, using a coated LINCOLN S1 19G electrode (AWS: E8018-B2), and
Filling by submerged arc welding (SAW), wherein wire denoted as LINCOLN LNS 150 and powder denoted as
LINCOLN P230 were used as additional materials.
Chemical composition of the coated electrode LINCOLN S1 19G, and the wire LINCOLN LNS 150 is given in
tab. 3, whereas their mechanical properties are given in tab. 4, [2, 3].
Table 3. Chemical composition of additional welding materials
% mas.
Filler material
C
Si
Mn
P
S
Cr
LINCOLN Sl 19G
0,07
0,31
0,62
0,009
0,010
1,17
Mo
0,54
LINCOLN LNS 150
0,10
0,14
0,71
0,010
0,010
1,12
0,48
Table 4. Mechanical properties of additional materials
Additional material
Yield stress,
Tensile strength,
Elongation,
Rp0,2, MPa
Rm, MPa
A, %
Impact energy, J at
20C
LINCOLN Sl 19G
515
610
20
> 60
LINCOLN LNS 150
495
605
21
> 80
Butt welded joint was made with a U-weld. The shape of the groove for welding preparation was chosen based on
thickness, in accordance with appropriate standards SRPS EN ISO 9692-1:2012, [4], and SRPS EN ISO 9692-2:2008,
[5].
3. Determination of plane strain fracture toughness, KIc
The influence of temperature on the parent material and welded joint components tendency towards brittle fracture
was assessed by determining fracture toughness in plain strain conditions, i.e. by determining the critical value of
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3
stress intensity factor, KIc. Tests were performed at room temperature of 20°C, as well as at the elevated temperature
of 540°C.
For the purpose of determining KIc, three point bending specimens (SEB) were used for room temperature testing,
and their geometry was defined in accordance with standards ASTM E399 [1] and ASTM E1820, [6]. For determining
KIc at the temperature of 540°C, modified CT specimens, whose geometry was defined in accordance with standard
BS 7448 Part 1 [7], were used.
Fracture toughness, KIc, determined directly using critical J-integral, JIc, by using elastic-plastic fracture mechanics
(EPFM), as defined by standards ASTM E813 [8], ASTM E 1737 [9], ASTM E1820 [6] and BS 7448 Parts 1 and 2,
[7,10], i.e. by monitoring crack propagation under plastic conditions.
American Society for Testing and Materials (ASTM) defined a standard procedure for obtaining of resistance
curves for metallic materials according to crack propagation [8]. The European Structural Integrity Society (ESIS)
then worked on improving of this standard [11]. Some of the solutions suggested by this standard were accepted, and
in this paper they are related to determining of a fitted regression line. Standards [1,6,8,9,12-14] are updated regularly
and thus it is important to use only the most recent versions.
Experiments were performed by testing a single specimen via successive partial unloading, i.e. by single specimen
yield method, as defined by standard E813 [8]. The goal of the yield method is to register the magnitude of crack
propagation, Δa, which occurred during the test, after unloading. The testing itself was performed with specimens
which had fatigue cracks in PM, WM and HAZ, at room temperature of 20°C and the elevated temperature of 540°C,
using an electric mechanical tensile test machine.
In the case of room temperature testing, the specimens was equipped with a COD extensometer for the purpose of
measuring crack tip opening. This was not the case when testing was performed at elevated temperatures. Namely,
due to the lack of extensometer that can work at these temperatures, crack tip opening was registered using an inductive
sensor, with previously registered calibration curve, showing the ratio between values obtained using the extensometer
and those obtained from the sensor.
Bending or tensile load (depending on the type of specimen being tested) was applied at a slow rate, 1 mm/min.
The load was applied with periodic unloading, up to a point where considerable plastic strain started occuring or the
specimen fractured, i.e. once the extensometer /inductive sensor range was exceeded. During this time, an A/D
converter was used
Based on the yield, which represents the ratio between force increment and crack tip opening increment on the
unloading line, it is possible to determine crack length using the following expression:
b C Ci 1
ai ai 1 i 1 i
i 1 Ci 1
(1)
J (i ) J el J pl
(2)
where:
ai-1 – previous crack length;
Ci = tgi – slope of the observed unload line;
Ci-1 = tgi-1 – slope of the previous unload line;
i-1 = 2 –SEB specimen coefficient; i-1 = 2 + 0,522 bi/W – CG specimen coefficient;
W – specimen width and
bi-1 – previous ligament length.
J-integral is equal to the sum of its elastic and plastic components [15]:
For SEB and CT specimens, the elastic J-integral component, i.e. the elastic energy component, is calculated based
on the expression [15]:
J el (i )
K i2 1 2
E
where:
Ki – stress intensity factor, defined according to standard ASTM E 399;
(3)
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ν - Poisson’s ratio and
E – Elasticity module.
Stress intensity factor Ki for SEB specimens is calculated using the following expression:
Ki
Fi S
B BN 1 2 W 3 2
f a0 W
(4)
whereas for CT specimens:
Ki
Fi
B BN W 1 / 2
(5)
f ai W
The geometry term f(a0/W), in the case of SEB specimens, is determined as:
1,99 a 0 W 1 a 0 W
12
3a 0 W
2
2
,
15
3
,
93
a
W
2
,
7
a
W
0
0
f a 0 W
32
21 2 a 0 W 1 a 0 W
(6)
and for CT specimens:
f a i W
2 a i
0,866 4,64a i W 13,32a i W 2
W
3
4
14,72a i / W 5,6a i / W
1 a i / W 3 / 2
(7)
Plastic component of the J-integral is calculated based on the following expression [15]:
Apl (i ) A pl ( i 1)
ai ai 1
(8)
J pl (i ) J pl (i 1) i
1 i
b
B
b
i
N
i
where:
B – specimen thickness;
a0 – initial fatigue crack length;
Apl – plastic energy component;
S – span between the supports;
BN – specimen net width;
i = 2 – SEB specimen coefficient; i = 2 + 0,522 bi/W – CT specimen coefficient;
i = 1- for SEB specimens and
i = 1+ 0,76 bi/W – for CT specimens.
Based on the obtained data, a J-Δa curve is drawn, and the regression line is then constructed on it, according to
standard ASTM E1152 [13]. Critical value of J-integral, JIc, is then obtained from this regression line. By knowing
the values of JIc, it is possible to calculate the critical stress intensity factor (fracture toughness), KIc, for plane strain,
using the following relation:
K Ic
J Ic E
1 2
(9)
Calculated values of critical stress intensity factor are given in table 5, for specimens with the notch in the PM,
tested at room temperature and at the elevated temperature of 540°C, [15]. It is important to note that the calculation
of fracture toughness for plane strain used different elasticity module values for room temperature (210 GPa) and for
elevated temperature (cca 160 GPa for 540°C).
Typical F-δ and J-Δa diagrams for specimens taken out of the parent material, tested at room temperature and the
elevated temperature of 540°C are not shown here, due to the scope of this paper [15]. The influence of test temperature
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on critical stress intensity factor values, for PM specimens is graphically represented in fig. 1, whereas its influence
on critical crack length, ac, is shown in fig. 2, [15].
Table 5. Values of KIc notched specimens in PM
Critical J-integral,
Critical crack length,
ac, mm
JIc, kJ/m2
Critical stress intensity factor, KIc,
MPa m1/2
60,1
117,8
38,5
63,9
121,4
40,8
PM-1-3n
58,6
116,3
37,5
PM-2-1n
43,2
87,2
40,0
44,7
88,7
41,4
45,3
89,2
41,9
Specimen
mark
Testing temperature,
C
PM-1-1n
PM-1-2n
PM-2-2n
20
540
PM-2-3n
Figure 1. Change in value of KIc, depending on the testing
temperature for PM specimens
Figure 2. Change in value of ac, depending on the testing temperature
for PM specimens
Calculated value of critical stress intensity factor, KIc, and critical crack length, ac, are given in table 6, for
specimens with the notch in the WM, tested at both room and elevated temperatures [15].
Table 6. Values of, KIc notched specimens at WM
Critical J-integral,
JIc, kJ/m2
Critical stress intensity factor, KIc,
MPa m1/2
Critical crack length,
ac, mm
72,8
129,6
20,2
74,3
130,9
20,7
WM-1-3
71,1
128,1
19,8
WM-2-1
50,2
93,9
17,4
52,6
96,2
18,2
48,4
92,2
16,8
Specimen
mark
Testing temperature,
C
WM-1-1
WM-1-2
WM-2-2
WM-2-3
20
540
F-δ and J-Δa diagrams for the specimen with a notch in the WM are shown in fig. 3, for specimen denoted as WM1-1, tested at room temperature, and in fig. 4, for specimen denoted as WM-2-1, tested at 540°C.
The effect of test temperature on critical stress intensity factor values for specimens with the notch in the WM is
shown graphically in fig. 5, whereas the effect of test temperature on critical crack length values, ac, is shown in fig.
6, [15]. Calculated value of critical stress intensity factor, KIc, and critical crack length, ac, are given in table 7, for
specimens with the notch in the HAZ, tested at both room and elevated temperatures [15].
210
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Figure 3. F-δ (left) and J-Δa (right) diagrams for specimen WM-1-1
Figure 4. F-δ (left) and J-Δa (right) diagrams for specimen WM-2-1
Figure 5. Change in value of KIc, depending on the testing
temperature for WM specimens
Figure 6. Change in value of ac, depending on the testing temperature
for WM specimens
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7
Typical F- and J-a diagrams for specimens taken from the HAZ, tested at room and elevated temperatures, are not
shown here, due to the scope of this paper [15]. The effect of test temperature on critical stress intensity factor values
for specimens with the notch in the HAZ is shown graphically in fig. 7, whereas the effect of test temperature on
critical crack length values, ac, is shown in fig. 8, [15].
Table 7. Values of, KIc notched specimens at HAZ
Specimen mark
Testing temperature,
C
HAZ-1-1n
HAZ-1-2n
20
HAZ-1-3n
HAZ-2-1n
HAZ-2-2n
HAZ-2-3n
540
Critical J-integral,
JIc, kJ/m2
Critical stress intensity factor,
KIc, MPa m1/2
Critical crack length,
ac, mm
53,6
111,2
34,3
51,7
109,2
33,0
49,8
107,2
31,8
33,6
76,9
31,1
34,2
77,5
31,6
36,1
79,7
33,4
Figure 7. Change in value of KIc, depending on the testing
temperature for HAZ specimens
Figure 8. Change in value of ac, depending on the testing temperature
for HAZ specimens
4. Discussion
Based on the results obtained by testing of specimens taken out of the PM, it can be seen that the increase in test
temperature leads to decreased critical J-integral values, hence fracture toughness, KIc also decreases.
Fracture toughness values for PM specimens, shown in tab. 5, range from 118 MPa m1/2 at room temperature to 88
MPa m1/2 at 540°C [15].
Obtained critical crack length, ac, values in the case of the PM did not show noticeable changes with temperature.
This was expected since critical crack length was calculated using real yield stress values, obtained from tensile tests
[16].
Based on the results obtained by testing of specimens with the notch in the WM, it can be seen that the increase in
test temperature leads to decreased critical J-integral values, hence fracture toughness, KIc also decreases. Fracture
toughness values for these specimens, given in tab. 6, range from 130 MPa m1/2 at room temperature, to 94 MPa m1/2
at 540°C [15].
Obtained critical crack length, ac, values, are significantly lower relative to yield stress level, ranging from 20.2
mm at room temperature to 17.5 mm at 540°C. However, if critical crack length values are calculated based on the
PM yield stress, they are considerably higher, suggesting high brittle fracture resistance of the WM [16].
Based on the results obtained by testing of specimens taken out of the HAZ, it can be seen that the increase in test
temperature leads to decreased critical J-integral values, hence fracture toughness, KIc also decreases. The same can
be concluded for critical crack length, ac.
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Ivica Čamagić et al. / Procedia Structural Integrity 18 (2019) 205–213
Sergio Cicero et al./ Structural Integrity Procedia 00 (2019) 000–000
Fracture toughness values for HAZ specimens, shown in tab. 7, range from 109 MPa m1/2 at room temperature, to
78 MPa m1/2 at 540°C, [15]. Obtained critical crack length values do not change significantly with the temperature,
for HAZ specimens [15].
5. Conclusion
Weakest resistance towards crack growth under static force, i.e. lowest KIc values were measured for specimens
with the notch in the HAZ, whereas highest resistance was measured in the case of specimens with the notch in the
WM. The change in the slope of the curves is caused by changes in test temperature, notch location and exploitation
duration. By analysing the obtained curves, it can be seen that the individual curves in each groups exhibit almost
identical dependence from the above mentioned factors, with differences in maximum force values, Fmax, which is
directly related to fatigue crack length [15].
Results obtained from fracture mechanics parameters (KIc, JIc, and ac) indicated that the tendency toward brittle
fracture under static loading is lowest in the case of specimens with cracks in the WM and the PM, whereas it was highest
for specimens with a crack in the HAZ, i.e. HAZ specimens had lowest resistance toward brittle fracture in this case.
6. Acknowledgements
Parts of this research were supported by the Ministry of Sciences and Technology of Republic of Serbia through
Mathematical Institute SANU Belgrade Grant OI 174001 Dynamics of hybrid systems with complex structures.
Mechanics of materials and Faculty of Technical Sciences University of Pristina, residing in Kosovska Mitrovica.
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