stress ratio effects in fatigue of lost foam aluminum alloy 356
DESCRIPTION
Lost foam casting is a highly versatile metalcasting process that offers significant benefits in terms of design flexibility, energy consumption, and environmental impact. In the present work, the fatigue behavior of lost foam cast aluminum alloy 356, in conditions T6 and T7, was investigated, under both zero and non-zero mean stress conditions, with either as-cast or machined surface finish. Scanning electron microscopy was used to identify and measure the defect from which fatigue fracture initiated. Based on the results, the applicability of nine different fatigue mean stress equations was compared. The widely-used Goodman equation was found to be highly non-conservative, while the Stulen, Topper-Sandor, and Walker equations performed reasonably well. Each of these three equations includes a material-dependent term for stress ratio sensitivity. The stress ratio sensitivity was found to be affected by heat treatment, with the T6 condition having greater sensitivity than the T7 condition. The surface condition (as-cast vs. machined) did not significantly affect the stress ratio sensitivity. The fatigue life of as-cast specimens was found to be approximately 60 – 70% lower than that of machined specimens at the same equivalent stress. This reduction could not be attributed to defect size alone, and may be due to the greater frequency of oxide films near the as-cast surface. Directions for future work, including improved testing methods and some possible methods of improving the properties of lost foam castings, are discussed.TRANSCRIPT
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Stress Ratio Effects in Fatigue of Lost Foam Aluminum Alloy 356
David E. Palmer, P.E.BRP – Marine Propulsion Systems Division,
Sturtevant, WI
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Introduction• Lost foam casting (LFC) is used to
make outboard engine components (engine block, cylinder head, etc.)
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Introduction• These components are used in fatigue, generally
with non-zero mean stress
max
min
R
3
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Introduction• Fatigue failures typically initiate from porosity
or from the as-cast surface
Fracture surfaceAs-cast surface
Bead structure
Fissure between foam beads
Porosity
4
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Problems• Large number of mean stress equations
(Goodman, Soderberg, Walker, etc.) – which one to use?
• Lack of published data on effect of as-cast surface on fatigue of LFCs
• How to account for presence of porosity in LFCs?
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Motivations1. Provide as-cast mechanical property data for
design engineers
2. Understand factors that influence fatigue of aluminum LFCs in order to find ways to make better castings
3. Gain insight into stress ratio sensitivity of materials
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Objectives
For LF aluminum alloy 356-T6 and 356-T7 with as-cast and machined surfaces:
1. Evaluate monotonic tensile properties
2. Generate S-N curves (R = –1, R = 0, R > 0)
3. Determine appropriate mean stress correction
4. Evaluate effect of defect size on fatigue life
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Lost foam casting
• Patterns made from expanded polystyrene (EPS)• Raw bead size 0.25 – 0.50 mm• Impregnated with 5 – 7% hexane (blowing agent)
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Lost foam casting
Poor pattern
fusion can occur if
beads are above
Tg for insufficient
time during
molding process
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Lost foam casting
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• Assembled cluster is coated with refractory slurry
• Coating may penetrate into gaps in foam beads
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Lost foam casting
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• Molten metal is poured directly into the EPS mold
• As metal front advances, EPS degrades, melts, and vaporizes
• LF mold filling is a highly complex process
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Lost foam casting
Foam
Coating
Sand
Metal
Decomposition layer
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Lost foam casting
13
Collapse mode:• Occurs when patterns have density gradients
or poor fusion• Gaps between foam beads provide escape path
for gas, resulting in low local pressures• Metal front advances in “fingers”• This mode results in fold defects as liquid
pyrolysis products are trapped between metal fronts.
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Fatigue and mean stress• There are a large number of equations that
relate fatigue with mean stress (R ≠ –1) to an equivalent fully reversed stress (R = 1)
• These include the Goodman, Soderberg, Morrow, Gerber, ASME-Elliptic, Smith-Watson-Topper, Stulen, Topper-Sandor, and Walker equations
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Fatigue and mean stress
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Goodman equation
u
m
aeq
1
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Fatigue and mean stressSoderberg equation
o
m
aeq
1
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Fatigue and mean stressMorrow equation
f
m
aeq
1
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Fatigue and mean stressGerber equation
2
1
u
m
aeq
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Fatigue and mean stressASME-Elliptic equation
2
1
o
m
aeq
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Fatigue and mean stressSmith-Watson-Topper equation
aeq max
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Fatigue and mean stressStulen equation
maeq A
• If A = σe / σu , this is equivalent to the Goodman equation; if A = σe / σo , it is equivalent to the Soderberg equation, etc.
• Value of A must be determined from tests at different R ratios
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Fatigue and mean stressTopper-Sandor equation
maeq
• Power law relationship between σm and σeq
• Value of α must be determined from tests at different R ratios
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Fatigue and mean stressWalker equation
aeq 1
max
• If γ = 0.5 , this is equivalent to the Smith-Watson-Topper equation
• According to Dowling, γ ≈ 0.45 for aluminum and 0.65 for steels
• Value of γ must be determined from tests at different R ratios
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Aluminum alloy 356-T6
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Aluminum alloy 356-T6
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Experimental design
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356-T6As-cast
356-T7As-cast
356-T6Machined
356-T7Machined
Tension testing: 5 specimens eachFatigue testing: 15 specimens R = -1 15 specimens R = 0 15 specimens R > 0
SEMporosity
measurements
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Sample preparation: machined
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Sample preparation: as-cast
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Pattern fusion testing• Pattern permeability apparatus developed at
University of Alabama-Birmingham (UAB)
• Measures air flow rate when 21 kPa vacuum is applied to surface of foam pattern
• Used to evaluate pattern fusion for as-cast specimens
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Pattern permeability
30
Average: 4.3 cm/s
Standard deviation:2.1 cm/s
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Tensile testing
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• Performed per ASTM E8• Constant displacement rate (5
mm/min.)• Specimen deflection
measured with extensometer
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Stress-strain curves
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356-T6 machined 356-T6 as-cast
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Stress-strain curves
33
356-T7 machined 356-T7 as-cast
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Tensile fracture surfaces
34
356-T6 machined 356-T6 as-cast
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Tensile fracture surfaces
35
356-T7 machined 356-T7 as-cast
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Fatigue testing
36
• Performed per ASTM E466• Tested in force control• Three different R-ratios (R = -1, R = 0, R > 0)• Six different load levels at each R-ratio• For R > 0 testing, σmax was held at 0.5σy while σmin
was varied to produce R = 0.09, R = 0.26, R = 0.31, R = 0.40, R = 0.44, and R = 0.62 conditions
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S-N curves
37
356-T6Machined
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S-N curves
38
356-T6As-cast
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S-N curves
39
356-T7Machined
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S-N curves
40
356-T7As-cast
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Fatigue fracture surfaces
41
356-T6 machined 356-T6 as-cast
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Fatigue fracture surfaces
42
356-T7 machined 356-T7 as-cast
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Weibull analysis
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Weibull analysis
44
356-T7As-cast
B50 = 54.8 MPa
B10 = 44.2 MPa
α = 57.1ß = 8.72
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Weibull analysis
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Critical pore size
46
Average size of critical
pore103 µm
for both as-cast and
machined
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Effect of pore size on fatigue
47
Difference in fatigue
life between as-cast and machined cannot be attributed to porosity
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Folds in as-cast specimens
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Comparison of mean stress equations
49
1. Goodman2. Soderberg3. Morrow4. Gerber5. ASME-Elliptic6. Smith-Watson-Topper7. Stulen8. Walker9. Topper-Sandor
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Comparison of mean stress equations
50
Error = Predicted life – actual life
Actual life
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Comparison of mean stress equations
51
Condition Surface Goodman Soderberg Morrow
T6Machined 254% 134% 1238%
As-cast 343% 339% 1347%
T7Machined 323% 246% 1040%
As-cast 202% 189% 748%
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Comparison of mean stress equations
52
Condition Surface GerberASME-Elliptic
SWT
T6Machined 1517% 1840% 18%
As-cast 1947% 2592% 44%
T7Machined 1866% 2362% -23%
As-cast 1091% 1370% -10%
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Comparison of mean stress equations
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= Predicted life – actual life
Actual life
Absoluteerror
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Comparison of mean stress equations
Condition Surface StulenTopper-Sandor
Walker
T6Machined 47% 36% 33%
As-cast 44% 38% 40%
T7Machined 40% 30% 34%
As-cast 48% 42% 45%
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Comparison of mean stress equations
356-T7Machined
No mean stress
correction
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Comparison of mean stress equations
356-T7Machined
Goodman correction
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Comparison of mean stress equations
356-T7Machined
ASME-Elliptic
correction
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Comparison of mean stress equations
356-T7Machined
Walker correction
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Mean stress sensitivity parameters
Condition Surface StulenTopper-Sandor
Walker
T6Machined 0.417 0.793 0.530
As-cast 0.454 0.803 0.563
T7Machined 0.341 0.734 0.459
As-cast 0.372 0.749 0.480
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Mean stress sensitivity
60
Kirby and Beevers (1971):
In air: da/dN = f(ΔK, R) In vacuum: da/dN = f(ΔK) ONLY!
Chalwa et al (2011):
R-ratio effects increase with P(H2O)
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Hypothesis:
Greater mean stress sensitivity of 356-T6 compared to 356-T7 is due to greater
oxidation rate on crack surface.
61
Mean stress sensitivity
This hypothesis will be tested in future work.
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Conclusions
62
1. Lost foam 356-T6 and 356-T7 specimens with as-cast surface have significantly lower monotonic and fatigue properties compared to specimens with a machined surface.
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Conclusions
63
2. Ranking of mean stress equations:Topper-SandorWalkerStulenSmith-Watson-TopperSoderbergGoodmanMorrowGerberASME-Elliptic
Best
Worst
DO NOT USE
(Tie)
Best if no data for fit
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Conclusions
64
3. Ranking of effects on fatigue of lost foam aluminum 356:
As-cast surface
Porosity Heat treatment> >
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Conclusions
4. Lost foam 356-T6 has greater stress ratio sensitivity than lost foam 356-T7.
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Future work
• Investigate effect of pattern fusion:
> 10 cm/s (“beady”)
1 – 10 cm/s (present work)
< 0.5 cm/s (smooth)
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Future work
67
• Measure crack growth rates (da/dN) for as-cast and machined specimens
Hypothesis: Crack propagation is faster in as-cast specimens due to presence of folds
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Future work
68
• Measure polarization resistance of lost foam 356-T6 and 356-T7
Hypothesis: Greater mean stress sensitivity of 356-T6 compared to 356-T7 is due to greater oxidation rate on crack surface
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Future work
69
• Investigate effect of chills on as-cast properties of lost foam castings
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Future work
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• Investigate other possible means of improving properties of LF castings:
Vibration during solidification
Vacuum-assisted filling
Solidification under pressure
![Page 71: Stress Ratio Effects in Fatigue of Lost Foam Aluminum Alloy 356](https://reader034.vdocuments.us/reader034/viewer/2022042510/554a3ac5b4c90582328b4b53/html5/thumbnails/71.jpg)
Future work
71
• Fully-reversed four-point bending fatigue fixture
![Page 72: Stress Ratio Effects in Fatigue of Lost Foam Aluminum Alloy 356](https://reader034.vdocuments.us/reader034/viewer/2022042510/554a3ac5b4c90582328b4b53/html5/thumbnails/72.jpg)
Future work
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• Investigate environmental effects on fatigue of LF castings:
Saltwater
Water velocity
Water temperature
Galvanic potential
![Page 73: Stress Ratio Effects in Fatigue of Lost Foam Aluminum Alloy 356](https://reader034.vdocuments.us/reader034/viewer/2022042510/554a3ac5b4c90582328b4b53/html5/thumbnails/73.jpg)
AcknowledgementsUWM - Dr. Rohatgi, Dr. Venugopalan, Dr. El-Hajjar, Dr.
Church, Betty Warras
BRP - Glover Kerlin, Bill Barth, Jim Bonifield, Ken Chung, Matt Coyne, Todd Craft, Ben Jones, Mark
Noble, Rich Smock, Karl Glinsner, Pete Lucier
IIT - Dr. Sheldon Mostovoy
Virginia Tech - Dr. Norman Dowling
ASU - Dr. Nik Chawla
UAB - Harry Littleton
My family - Thanks for everything!73