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Materials Science &Technology
FATIGUE CRACK PROPAGATION FATIGUE CRACK PROPAGATION
BEHAVIOR OF BRAZED STEEL JOINTSBEHAVIOR OF BRAZED STEEL JOINTS
Dr. Dr. Tanya ATanya Aycan ycan BaşerBaşer
EMPAEMPA--Swiss Federal Laboratories for Materials Testing and ResearchSwiss Federal Laboratories for Materials Testing and Research
Laboratory for Joining Interface and Technology, Dübendorf, SwitzerlandLaboratory for Joining Interface and Technology, Dübendorf, Switzerland
CERNTR, 09/03/11
OutlineOutline
Introduction•Mechanical properties of materials
• What is fatigue?
• Why brazing?
• Problems occurred during brazing
• Application area of brazing
Materials and Methods• Base material and filler metals
• Brazing and heat treatment
• Experimental procedures
Results and discussion• Fatigue Crack Propagation (da/dN-ΔK) Curves
• Microstructural Investigations
• Fractographic Investigations
Brazing Quality• Effect of shield gas on mechanical properties
• Effect of sample geometry on mechanical properties
CERNTR, 09/03/11
IntroductionIntroduction
MALZEMELERİN MEKANİK ÖZELLİKLERİ
GEVREK-SUNEK DAVRANIS
()
()0 2 4 6 8 10 12 14 16 18 20
0
500
1000
1500
2000
Str
ess / M
Pa
Strain / %
Ela
sti
k b
olg
e
Plastik bolge
x Akma dayanimi
Cekme dayanimix kopma dayanimi
GERILIM-GERINIM DIYAGRAMI
Cekme testi
CERNTR, 09/03/11
IntroductionIntroduction
YORULMA NEDİR?
Malzemeyi zorlayan gerilmeler zaman icinde degisecek olursa malzeme cekme deneyinde elde
edilen kopma degerinin altinda bir gerilmede sunek de olsa plastik sekil degistirmeden kirilabilir. Bu olaya
yorulma denir.
Yukleme ve bosalmanin periyodik olarak cok sayida tekrari sonucunda malzemede yipranmalar
meydana gelir. Bunun nedeni yukun siddetinden cok onun periyodik olarak uzun bir sure uygulanmasidir.
İc mekanizmasi oldukca karisik olan bu olaya malzemenin yorulmasi denir.
Yorulma 3 asamada gerceklesir:
1-Catlak baslangici
2-Catlak ilerlemesi
3-Kirilma
CERNTR, 09/03/11
IntroductionIntroduction
Welding fusion takes place with melting of both the base metal and usually a filler metal. To
join metals by applying heat, sometimes with pressure and sometimes with an intermediate or
filler metal having a high melting point.
Brazing is a process for joining similar or dissimilar metals using a filler metal and heating
them the liquidus of the filler metals above 840°F (450°C), and below the solidus of the base
metals
Soldering has the same definition as brazing except for the fact that the filler metal used has
a liquidus below 840°F (450°C) and below the solidus of the base metals.
WHY BRAZING?
Brazing process is used because of the compressor
impeller geometry
Brazing
Defects such as incomplete gap filling, pores or
cracks may be formed during brazing and they
can act as stress concentration sites in the
brazing zone.
Under cyclic mechanical loading, fatigue cracks
can initiate and propagate from these defects,
leading to spontaneous failure.
CERNTR, 09/03/11
IntroductionIntroduction
/www.airbus.com/
/www.geae.com/
/www.nasa.org/
/www.manturbo.com/
Brazing is a quick and low-cost brazing method to produce strong joints and it is used in the aerospace and
other industries as well as for power generation, e.g. turbine parts or compressor impellers.
CERNTR, 09/03/11
Materials and MethodMaterials and Method
Base material and filler metals
The soft martensitic stainless steel X3CrNiMo13-4 was used as base material.
Chemical composition of X3CrNiMo13-4
As filler metal, foils of the binary alloy Au-18Ni with a thickness of 100 μm were applied (Melting
temperature is around 800 °C).
Brazing and heat treatment
Brazing was performed in an industrial shielding gas (93 vol.-% Ar, 7 vol.-% H2) furnace at a
temperature of 1020°C for 20 minutes.
After brazing, the specimens were tempered at 520 °C for 5.5 h in nitrogen atmosphere.
Element C Si Mn P S Cr Mo N Ni
Min. 12.00 0.30 0.02 3.50
Max. 0.05 0.70 1.50 0.04 0.01 14.00 0.70 4.50
CERNTR, 09/03/11
Materials and MethodMaterials and Method
Experimental procedures
Fatigue crack propagation tests were performed on a resonant testing machine.
Fractured specimens were investigated by SEM.
Geometry of the DCB specimen
(90 x 60 x 8 mm)Set-up of the fatigue crack propagation test
ASTM E647
CERNTR, 09/03/11
nKCdN
da
1 10 1001E-11
1E-10
1E-9
1E-8
1E-7
1E-6
1E-5
1E-4
K [MPa m1/2
]
da/d
N [m
/cyc
le]
R = 0.1 R = 0.3 R = 0.5 R = 0.7
R C n
0.1 1.309E-22 11.17
0.3 4.071E-23 12.17
0.5 7.234E-22 12.64
0.7 8.489E-21 12.81
Calculated C and n parameters at different R values
The Paris equation:
ResultsResults
• Fatigue Crack Propagation (da/dN-ΔK) Curves
5.02
5.01225.138
h
a
h
a
Bh
FK I
da: difference of crack length
dN: difference of number of cycles
C,n: experimentally measured material constants
CERNTR, 09/03/11
ResultsResults
R. H. Dauskardt, Acta Metall Mater. Vol 41 9 (1993) 2765.
1 101E-11
1E-10
1E-9
1E-8
1E-7
1E-6
1E-5
K [MPa m1/2
]
da/d
N [m
/cycle
]
R = 0.1 R = 0.3 R = 0.5 R = 0.7
Material n
Metals 3-4
Ceramics -50
The Paris Exponent
Brazed components 11-13
?
CERNTR, 09/03/11
SEMSEM
Taramali elektron mikroskobu
Çalışma Prensibi
Taramalı Elektron Mikroskobu üç temel kısımdan oluşmaktadır:
Optik Kolonda elektron demetinin kaynağı olan elektron tabancası, elektronları
numuneye doğru hızlandırmak için yüksek gerilimin uygulandığı anot plakası, ince
elektron demeti elde etmek için yoğunlaştırıcı mercekler, demeti numune üzerinde
odaklamak için objektif merceği, bu merceğe bağlı çeşitli çapta apatürler ve
elektron demetinin numune yüzeyini taraması için tarama bobinleri yer almaktadır.
Numune hucresine numune yerlestirilir.
Görüntü sisteminde elektron demeti ile numune girişimi sonucunda oluşan
çeşitli elektron ve ışımaları toplayan dedektörler, bunların sinyal çoğaltıcıları ve
numune yüzeyinde elektron demetini görüntü ekranıyla senkronize tarayan
manyetik bobinler bulunmaktadır.
Nasil goruntu elde edilir?
Taramalı Elektron Mikroskobunda (SEM) görüntü, yüksek gerilim ile
hızlandırılmış elektronların numune üzerine odaklanması, bu elektron
demetinin numune yüzeyinde taratılması sırasında elektron ve numune
atomları arasında oluşan çeşitli girişimler sonucunda meydana gelen
etkilerin uygun algılayıclarda toplanması ve sinyal güçlendiricilerinden
geçirildikten sonra bir katot ışınları tüpünün ekranına aktarılmasıyla elde
edilir.
CERNTR, 09/03/11
ResultsResults
•Microstructural Investigations
SEM-cross section
20 µm
Au-rich
Solid solution
Ni-rich
Solid solution
100 µm
X3CrNiMo13-4
steel
Au-18Ni
braze Diffusion zone
CERNTR, 09/03/11
ResultsResults
• Microstructural Investigations
SEM-cross section
20 µm20 µm
5 µm
Crack tip
20 µm
CERNTR, 09/03/11
ResultsResults
•Microstructural Investigations
SEM-cross section
200 µm
100 µm 20 µm
200 µm
CERNTR, 09/03/11
ResultsResults
• Microstructural Investigations
SEM-cross section
20 µm
Crack tipCrack tip
32 32 µmµm
95 95 µmµm20 µm
Pre-damaged zones well
ahead of the crack tip
CERNTR, 09/03/11
20 µm 50 µm
20 µm
ResultsResults
200 µm
• Fractographic Investigations
SEM-cross section
CERNTR, 09/03/11
ResultsResults
• Fractographic Investigations
200 µm
The stepped nature of the fracture pattern is clearly evident
200 µm
porespores
3 mm
stereo SEM
CERNTR, 09/03/11
Fractographic InvestigationsBrittle fracture ductile fracture
1018 steel
transcrystalline steel
BMG
Steel wire
Al alloy
Cu alloy
CERNTR, 09/03/11
ResultsResults
• Fractographic Investigations
Brittle or ductile?
CERNTR, 09/03/11
ResultsResults
• Fractographic Investigations
20 µm
Plastic deformation features
containing ductile dimples
50 µm
CERNTR, 09/03/11
DiscussionDiscussion
Damage and Fracture Behaviour of Brazed
Joints Under Cyclic Loading
• After crack initiation, high stresses can lead
to the formation of cavities well ahead of the
crack tip.
• New cavities develop and grow every loading
cycle.
• The fatigue crack then propagates along
these predamaged zones and coalescence
and final failure occurs.
X3CrNiMo13-4
X3CrNiMo13-4
notchAu-18Ni
High Paris exponent, n, was explained by the triaxial stress state in the filler metal, which is a
result of the different elastic-plastic material properties of the filler metal and the base material.
CERNTR, 09/03/11
Brazing qualityBrazing quality
Defects such as incomplete gap filling, pores or cracks may be formed
during brazing and they can act as stress concentration sites in the brazing
zone.
Under cyclic mechanical loading, fatigue cracks can initiate and propagate
from these defects, leading to spontaneous failure. Therefore, defect
assesment of brazed components should be considered.
200 µm
CERNTR, 09/03/11
Brazed steel plates of different batches
brazed steel
platesshielding gas
Batch A 93 vol.-% Ar, 7 vol.-% H2
Batch B, C 93 vol.-% Ar, 7 vol.-% H2
Batch D, E 100 vol.-% H2
Batch F, G 100 vol.-% H2
Brazing qualityBrazing quality
The addition of hydrogen to the argon allows removing the oxide film on the
stainless steel surface, which is essential for filler metal wetting. BUT....
CERNTR, 09/03/11
100 100 µmµm
(93 vol.-% Ar, 7 vol.-% H2)
100 100 µmµm
(100 vol.-% H2)
Brazing qualityBrazing quality
CERNTR, 09/03/11
Materials and MethodMaterials and Method
Base material and filler metals
The soft martensitic stainless steel X3CrNiMo13-4 was used as base material. As filler metal, foils of the
binary alloy Au-18Ni with a thickness of 100 μm were applied.
Brazing and heat treatment
Brazing was performed in an industrial shielding gas (93 vol.-% Ar, 7 vol.-% H2 and 100 vol.-% H2 ) furnace at
a temperature of 1020°C for 20 minutes. After brazing, the specimens were tempered at 520 °C for 5.5 h in
nitrogen atmosphere.
Experimental procedures
Fatigue tests were performed on a standard electro-mechanical and servohydrolic testing machine.
Fractured specimens were investigated by SEM.
Geometry of the t-joint specimen
(t=16mm, W=8 mm) standart electro-mechanical
testing machine
Servohydrolic
testing machine
CERNTR, 09/03/11
Brazing qualityBrazing quality
! In general, fracture occured on the base material instead
of the brazing zone
The addition of hydrogen to the argon
allows removing the oxide film on the
stainless steel surface
Joint strength was improved under 100% H2
atmosphere
crack
Brazing zone
σnom = 700 MPa
N = 8304
σnom = 650 MPa
N = 11787
σnom = 700 MPa
N = 8642
(100 vol.-% H2)
Specimen
geometryshielding gas Rm [MPa]
Base material - 975±25
T-joint93 vol.-% Ar, 7 vol.-% H2 882±15.7
100 vol.-% H2 1120±4.8
Standart round 100 vol.-% H2 1084±3.6
brazing
standart round specimen
(Ø1=5 mm, Ø2=4 mm)
CERNTR, 09/03/11
S-N curves
102
103
104
105
200
300
400
500
600
700
800
900
1000
1100
1200 T-joint-defect free-93 vol.-% Ar, 7 vol.-% H
2
T-joint-defect free-100 vol.-% H2
round shape 100 vol.-% H2
Nf
n
om
, m
ax (
MP
a)
• The only difference in between these specimens is different shielding gases.
• Brazing quality was improved under 100 vol.-% H2
• Fracture occurred on the base material in specimens which were brazed under 100 vol.-% H2
Nu=20 000 cycles
Brazing qualityBrazing quality
CERNTR, 09/03/11
stereo
ResultsResults
Fractographic Investigations- Comparison
SEM
(100 vol.-% H2)
3 mm
σnom = 650 MPa
N = 11787
200 µm
The step fractured pattern
could not be observed
200 µm
(93 vol.-% Ar, 7 vol.-% H2)
3 mm
σnom = 400 MPa
N = 5630
The step fractured pattern
Stronger bonding was
obtained and better
interface reaction
occured under 100% H2
atmosphere
CERNTR, 09/03/11
TEŞEKKÜRLER
CERNTR, 09/03/11
AdditionalAdditional--II
Rp0.2
[MPa]
Rm
[MPa]
A5
[%]
τe
[MPa]
τmax
[MPa]
KIc
[MPa
m0.5]
X3CrNiMo-13-4 920 ± 5 975 ± 25 17.5 ± 2.5 620 ± 5 660 ± 10 ~270
X3CrNiMo13-4 -AuNi18 923 ± 7 976 ± 15 6 ± 0.5 245 ± 10 539 ± 7 49 ± 1.5
Element C Si Mn P S Cr Mo N Ni
Min. 12.00 0.30 0.02 3.50
Max. 0.05 0.70 1.50 0.04 0.01 14.00 0.70 4.50
Table 1. Chemical composition of X3CrNiMo13-4.
Table 2. Mechanical properties of X3CrNiMo 13-4 and X3CrNiMo13-4 – Au-18Ni
braze joints.
CERNTR, 09/03/11
5.02
5.01225.138
h
a
h
a
Bh
FK I
The stress intensity for mode I loading, KI, as a function of the specimen geometry and the applied
load can be calculated according to;
where F is the applied force, B and h the specimen geometry and a the total crack length measured
from the load initiation point.
AdditionalAdditional--IIII
CERNTR, 09/03/11
0 75 150 225 3000
10
20
30
40
batch 1 batch 2 batch 3
N (103)
a [m
m]
0
10
20
30
40
batch 1 batch 2 batch 3
0
10
20
30
40
batch 1 batch 2 batch 3
ΔF1, ΔF2, ΔF3=constantΔF1 = 6.8 kN
ΔK1 = 23 MPa m1/2
ΔF2= 5.7 kN
ΔK2= 19 MPa m1/2
ΔF3= 4.6 kN
ΔK3= 16 MPa m1/2
ResultsResults
• Fatigue Crack Growth Curves
CERNTR, 09/03/11
0 50 100 150 200 250 3000
5
10
15
20
25
30
35
F1=6.8 kN
F2=5.7 kN
F3=4.6 kN
a (
mm
)
N [103]
ResultsResults
The fatigue crack growth rate of brazed components is extremely sensitive to
the load range.
• Average of Fatigue Crack Growth Curves (batch 1, 2 and 3)
CERNTR, 09/03/11
M. C. Tolle, M. E. Kassner, Acta Metall. Mater. Vol 43 (1995) 287.
Nucleation based theory for ductile fracture
under high triaxial stress
(a) A few nanometer-sized cavities nucleate with
small plastic strain.
(b) Additional nucleation occurs with a small
additional macroscopic strain.
(c) At a critical stage, cavities get sufficiently
close, and there is a coalescence between the
small nanometer-sized cavities, and larger
cavities form.
(d) Additional nucleation occurs in regions near
the cavities and further interlinkage occurs.
(e) The interlinkage of larger cavities through
continued nearby nucleation leads to final
failure.
Nucleation based theory for ductile fracture under high triaxial stress
Mechanism of ductile fracture in pure silver under high-triaxial stress states under static loading
AdditionalAdditional--IIIIII
CERNTR, 09/03/11
AdditionalAdditional--IVIV
Damage and Fracture Behaviour of Brazed
Joints Under Cyclic Loading
ΔK1
ΔK2
Δa
BULK MATERIALS
BRAZED JOINTSAu-18Ni
ΔK1
ΔK2
ΔK1 < ΔK2
Δa`
Δa` >> Δa
a1
ΔK1 < ΔK2
X3CrNiMo13-4
X3CrNiMo13-4
a1
CERNTR, 09/03/11