Determination of crack-initiating defects in cast aluminium alloys by Non-destructive Testing
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Transcript of Determination of crack-initiating defects in cast aluminium alloys by Non-destructive Testing
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Determination of Crack-Initiating Defects in Cast Aluminium Alloys by Non-destructive Testing
AVIZO EUGM, 30 May - 1 June, 2012, Bordeaux, France
Yakub Tijani and André Heinrietz
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Outline
Pores in cast aluminium components Influence of defects on cast aluminium Development of a parametric model for fatigue life Non-destructive evaluation by computer tomography using AVIZO
FIRE Finite element models of cast pores Correlation between FE models, experiments and parametric model Summary
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Cast aluminium alloys in automobile industry: Motor engine
Porsche Cayenne
V8 Motor Volvo 5 cylinder engine block
Source: Müller-Weingarten
Good strength-weight ratio Castability of complex geometries Cheap to produce
Ref: www.vdg.de
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Cast Aluminium alloys: Process Chain in 3 Steps
Automotive
Aerospace
Transport
Mechanical Engineering
Energy, Environment, Health
Die Casting
Investment Casting
Sand Casting
[….]
- Mould Filling
- Cooling
- SolidificationEnd Products
Liquid Aluminium
+
Alloying Elements
+
Heating
Pores in cast aluminium alloy Components
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Pores and/or Oxides may be present
Unwanted notch effect in the material leads to crack initiation
Reduction in fatigue life
Processes to reduce pores lead to increase in cost
- Turbulence
- Temperature difference
- Change in Solubility
(Liquid Solid)
- Oxidation
[….]
- Mould Filling
- Cooling
- Solidification
Material matrix is no longer homogenous
IfG
Pores in cast aluminium alloy Components
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Defects in the components interior increase the notch effectin the loaded section
Influence of porosity on fatigue strength is scientifically proven, but not quantitatively predictable based on measured variables
Influence of defects on cast alloys: State of the art
Poor explicit correlation between fatigue strength and pore size/morphology Difficult to experimentally measure the effect of mechanical stress on pores The radiographic quality assurance is carried-out by comparison with reference
catalog Cast products will be unnecessarily scrapped in the event of pores The cast simulation cannot quantitatively predict porosity
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103 104 105 106 107 10840
50
60
70
80
90
100
110120130140150160170
Number of cycles to failure [ ]
Stre
ss a
mpl
itude
, MP
a
AlSi8Cu3 IngotPü = 50%AlSi8Cu3 with poresPü = 50%
40% reduction in fatigue strengthat N=107
Continouscasting-ingot
PV (mm³)
σ(N=1e7)
(MPa)Tσ k
< 0.5 - 4 54 1:1.34 9.7
Ingot 90 1:1.10 15.6
Influence of defects on cast alloys: Fatigue experiment
Ref: Tijani et al., TMS 2012, Orlando FL
Int. J. Fatigue (in Review)
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103 104 105 106 107 10840
50
60
70
80
90
100
110120130140150160170
Number of cycles to failures [ ]
Stre
ss a
mpl
itude
, MPa
AlSi8Cu3 IngotPü = 50%AlSi8Cu3 PV < 0.5 mm³Pü = 50%AlSi8Cu3 PV 0.5 mm³ - 2 mm³Pü = 50%AlSi8Cu3 PV 2 mm³ - 4 mm³Pü = 50%
PV (mm³)
σ(N=1e7)
(MPa)Tσ k
< 0.5 59 1:1.16 11.2
0.5 - 2 43 1:1.35 7.2
2 - 4 49 1:1.33 9
Ingot 90 1:1.10 15.6
VPore ~ σN=1E7
Ref: Tijani et al., TMS 2012, Orlando FL
Int. J. Fatigue (in Review)
Influence of defects on cast alloys: Fatigue experiment
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SEM fractographicimage of cast AlSi9Cu3specimen
Crack initiated by big pore close to the surface
Image can be analyzed to determine pore parameters
Relationship between pore parameters and fatigue life is only qualitative
The approach is a destructive testing method
Influence of defects on cast alloys: Fractography by SEM
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Metallography of the fracture surface
Influence of defects on cast alloys: Pore shape
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0
0,2
0,4
0,6
0,8
1
1,2
1 2 3 4 5 6 7 8 9 10 11 12 13
Defekt
convexty formfaktor
1 23
45
6 78 9
10 1112
13
Crack-initiating pore:- Biggest pore close to the surface- Smallest values of Convexity and Shape factor
Influence of defects on cast alloys: Pore shape
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Different pore sizes
Different pore distance to surface (DtS)
Similar stress concentration factor
A B C
Kt= 2.322 Kt= 2.366 Kt= 2.420
Development of a parametric model for fatigue life
Pore
DtS
(mm)
Diameter (mm)
Pore Volume (mm³)
A 0.3 1 0.524
B 0.45 1.5 1.767
C 0.6 2 4.189
Same DtS-Diameter ratioRef: Tijani et al., ECAA 2011, Bremen
Int. J. Fatigue (in Review)
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)shape(3 fKt
)size(2 fKt
)surface todistance(1 fKt
Effect of pores can be characterized by their stress concentration factors, Kt
t
fKK :factornotch Fatigue
)shape size, surface, todistance(fKt
impact of characteristic material behavior is excluded
= notch sensitivity factor
AreaVolume
DiameterRRR
RR
RRK f 621,231,0
1,171,06,074,21
0 diameter pore
surface todistanceR
Development of a parametric model for fatigue life
Ref: Tijani et al., MS & T 2011, Columbus OH
Int. J. Fatigue (in Review)
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Non-destructive Evaluation by Computer Tomography using AVIZO FIRE
Pore Volume(mm³)
Area (mm²)
DtS* (mm)
Shape factor[ ]
1 0.13 1.43 3.53 0.8
2 0.45 4.42 3.36 0.5
3 0.09 1.35 3.56 0.6
4 1.56 10.92 3.12 0.5
Microstructure discontinuitiescan be reconstructed by usingAVIZO Fire on microfocus CT
Pore parameters can bedetermined by 3D image
analysis
The crack-initiating pore canbe determined from the poreparameters
* DtS = Distance to Surface
Ref: Tijani et al., TMS 2012, Orlando FL
Int. J. Fatigue (in Review)
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Pore Volume(mm³)
Area (mm²)
DtS* (mm)
Shape factor[ ]
1 0.15 2.47 3.53 0.4
2 0.21 3.81 3.43 0.3
3 0.68 8.04 2.74 0.3
4 0.19 2.94 2.95 0.4
5 0.60 7.77 2.33 0.3
6 0.14 1.96 3.42 0.6
7 0.12 1.92 1.98 0.5
* DtS = Distance to Surface
A database of pore parameters can be prepared using AVIZO Fire on microfocus CT
Stress concentration factor due to each pore can be determined
Non-destructive Evaluation by Computer Tomography using AVIZO FIRE
Tijani et al., Int. J. Fatigue (in Review)
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EPOS/9125D/1
EPOS/9125D/2EPOS/9125D/4
EPOS/9125D/5EPOS/9125D/6
EPOS/9125D/7
Finite Element Models of Cast Pores
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EPOS/9125D/3
Linear elastic calculation Nominal stress, σn = 90 MPa Max. principal stress σ = 681.5 MPa Kt (FEM) = 7.6 Kt (Par. Model) = 8.0
FE-Model of Specimen with Pores (AlSi8Cu3)
Ref: Tijani et al., MS & T 2011, Columbus OH
Int. J. Fatigue (in Review)
Pore structure from Mikrofocus CT
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EPOS/8239A
Pore structure from Mikrofocus CT
Linear elastic calculation Nominal stress, σn = 90 MPa Max. principal stress, σ = 571.7 MPa Kt (FEM) = 6.4 Kt (Par. Model) = 6.9
FE-Model of Specimen with Pores(AlSi7Mg0.3)
Ref: Tijani et al., TMS 2012, Orlando FL
Int. J. Fatigue (in Review)
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Correlation between FE Models and Parametric Model
Good correlation between results of FE Model and computed stress concentration Kt obtained by using parameters from AVIZO Fire
R2 = 0,9805
2
3
4
5
6
7
8
2 3 4 5 6 7 8Kt (Par. Berechnungsmodell)
Kt (
FEM
Ber
echn
ung)
Kt , Parametric model [ ]
Kt, F
E m
odel
s[ ]
Tijani et al., Int. J. Fatigue (in Review)
Tijani et al., TMS 2012, Orlando FL.
Tijani et al., MS & T 2011, Columbus OH
Tijani et al., ECAA 2011, Bremen
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Validation with industrial SN Curves
Good correlation between experimental and computed fatigue life results obtained by using parameters from AVIZO Fire
SN Curve k
Fatiguestrength σk at
N = 107
Exp. 5,3 74 MPaModel 5,3 78 MPa
10
100
1000
1,00E+03 1,00E+04 1,00E+05 1,00E+06 1,00E+07 1,00E+08
Stre
ss A
mpl
itude
, MPa
No of Cycles to Failure [ ]
Experiment Pu=50%Parameter modelPu=50%
Tijani et al., Int. J. Fatigue (in Review)
Tijani et al., TMS 2012, Orlando FL.
Tijani et al., MS & T 2011, Columbus OH
Tijani et al., ECAA 2011, Bremen
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The presence of defects reduces fatigue strength
By using Avizo Fire, the crack-initiating pores can be determined in a microstructure
Fatigue life of cast aluminum alloy components based on non-destructive analysiscan be calculated
The obtained parameters provide reliable predictions over the range of conditions found in industrial castings, where pores are among the major driving forces for reduction of structural durability
This approach will reduce production costs and is expected to improve control mechanisms within the scope of quality assurance
Summary
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The presented work is a part of the research project IGF 295 ZN of the Research Association Casting Technology (FVG), Sohn-straße 70, 40237 Düsseldorf, Germany. It was sponsored by the German Federation of Industrial Research Associations (AiF) under the program for the promotion of jointindustrial research and development (IGF) of the Federal Ministry of Economics and Technology (BMWi) due to a decision of the German Parliament.
Acknowledgement
Dipl.-Ing. André HeinrietzFraunhofer Institute for Structural Durabilityand System Reliability, Darmstadt, Germany. [email protected]
Dr.-Ing. Yakub TijaniFraunhofer Institute for Structural Durabilityand System Reliability, Darmstadt, Germany. [email protected]@szm.tu-darmstadt.de
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Thank You For Your Attention
Source: Honsel via www.vdg.de