SLIDE 1 PERFORMANCE OF P/M COMPONENTS DURING DYNAMIC LOADING
Worcester Polytechnic Institute October 22-23, 2003
Diana Lados & Diran Apelian
Morris Boorky Powder Metallurgy Research Center
SLIDE 2
OUTLINE
ß Background (and examples of fatigue studies from the literature) ß Objectives ß Our Approach … Experimental Plan ß Critical experimental details
SLIDE 3
BACKGROUND
General perspectives …
Two design concepts Defect intolerant Defect tolerant
SLIDE 4 BACKGROUND
Defect intolerant … s-N curve
e-N curve CSS curve
(Basquin eq.): (Coffin-Manson eq.): (cyclic stress-strain eq.):
( )
'
n p '
K e D ⋅ = s D
Ferrous Nonferrous Stress, s HCF (N > 105) LCF (N < 105) Strain range, Dep
( )
B a
N A⋅ = s
( )b
' f
N 2 2 ⋅ s = s D
( )c
' f p
N 2 2 ⋅ e = e D
( )
D p
N C⋅ = e D
Stress, s Strain, e Monotonic Cyclic
SLIDE 5 BACKGROUND
LCF – high plastic deformation/ low loading cycles HCF – quasielastic behavior/ very high loading cycles
LCF HCF
(r low) 10 < Nf
tr < 1000 (r high) PM steels (Ni-Mo)
Defect intolerant … contd.
SLIDE 6 BACKGROUND
Defect tolerant … Fatigue crack growth curve (LEFM)
(Paris eq.): (Forman eq.):
( )
m
K C dN da D =
( ) ( )
K K R 1 K C dN da
FT m
D
= DKFT DKth
I II III
logDK
log(da/dN)
SLIDE 7 P/M iron
BACKGROUND
High cycle fatigue (HCF) … P/M iron
Region A:
- nucleation of microcracks;
Region B:
- appearance of slip bands on the specimen
surface; Region C:
- characteristic S-N curves where final
failure is caused by macrocracking;
SLIDE 8 BACKGROUND
High cycle fatigue (HCF) … P/M iron … contd. P/M iron
Region I:
- mostly closed porosity;
- cracking in the specimen interior;
- transgranular path between isolated pores;
Region II:
- transition from closed to open porosity;
- cracks nucleate @ specimen surface at
isolated pores and pore clusters;
- some broken sintering necks;
Region III:
- pores connected to each other (open)
- biphasic material: matrix phase + pore phase;
- simultaneous cracks @ specimen surface
- broken surface is smooth in both fatigue and
ductile fast fracture regions (broken sintering necks).
SLIDE 9 BACKGROUND
High cycle fatigue (HCF) … P/M iron … contd.
Water atomized Reduced sponge Tension- compression Plane bending Life (samples from reduced sponge powder) > Life (samples from water atomized powder)
- Axial testing – volume properties
- Bending – surface properties
- Fatigue limit (bending) < Fatigue
limit (axial loading)
SLIDE 10 BACKGROUND
High cycle fatigue (HCF) … P/M steels Fe-1.75Ni-1.5Cu-0.5Mo-0.6C (TM&S) Fe-2Cu-0.8C (P&F)
Fatigue life increases with increasing density and pore shape factors BUT density alone can not describe fatigue behavior of such PM materials pore/matrix interactions
SLIDE 11 BACKGROUND
High cycle fatigue (HCF) … P/M steels … contd. Fe-1.75Ni-1.5Cu-0.5Mo-0.6C Fe-1.75Ni-1.5Cu-0.85Mo-0.6C
- no significant difference between binder-treated and diffusion alloyed
- If Mo Fatigue life
SLIDE 12
BACKGROUND
Low cycle fatigue (LCF) … P/M steels Fe-1.75Ni-0.5Mo With decreasing density the differences between the strain life curves become smaller Increasing porosity reduces microstructural influence on fatigue life
SLIDE 13 BACKGROUND
Cyclic stress-strain … P/M iron
- I. Pure elastic response
- II. Microcracks opening (plastic strain-
softening)
- III. Pronounced opening of microcracks
- verrides matrix hardening
- IV. Growth of macro-cracks / final failure
Changes in hysteresis loop indicate hardening/softening of the material
SLIDE 14 BACKGROUND
Cyclic stress-strain … P/M iron … contd. P/M iron: cyclic softening
K’
- r
- n’ unaffected by density
- high density materials K’~K’fully-dense
SLIDE 15 BACKGROUND
Cyclic stress-strain … P/M steels Fe-1.75Ni-0.5Mo: low strain - softening & high strain - hardening
Homogeneous P Inhomogeneous P+F+M
Fe-2Cu-2.5Ni: work hardening Fe-1.5Cu-0.6C: softening Fe-0.8P (F&P): cyclic hardening
SLIDE 16 BACKGROUND
Fatigue crack growth studies, da/dN vs. DK …
ß Near threshold PM/C&W
similar behavior;
ß Higher DK, PM inferior to C&W,
cracks grow one order of magnitude faster;
ß Pseudo fracture toughness DKc
much lower in PM, 20-50 MPa m1/2
(compared to 80-130 MPa m1/2 for quenched and tempered steels).
SLIDE 17 BACKGROUND
Fatigue crack growth studies, da/dN vs. DK … contd. Fe-1.75Ni-0.5Mo-0.5C
(homogeneous - Divorced P)
Higher density Enhanced resistance to fatigue crack growth Uniform shifts Density/porosity dominates FCGR over the microstructure of the matrix
SLIDE 18
ß Many investigations on various P/M materials, but little knowledge on fatigue mechanisms and fracture; ß Pore/matrix interactions and how the presence of pores influences/changes the behavior of the matrix are not understood; ß Characteristic microstructural features as well as inhomogeneities need to be individually understood and further correlated to the pore structure (deconstruct/reconstruct); ß Fatigue life data corroborated with a fundamental understanding of the alloys behavior predictive abilities; ß There are no systematic studies to provide “knowledge based recipes” to optimize material characteristics and processing parameters for enhanced fatigue and fatigue crack growth
SUMMARY OF THE LITERATURE REVIEW
SLIDE 19
ß Study the effects of density/porosity on the fatigue initiation and propagation in P/M components; ß Investigate the porosity/microstructure interactions; ß Understand the effects of different microstructural phases on dynamic properties – mechanisms; ß Create guidelines for fatigue design corroborated with the fundamental understanding of the alloys behavior; ß Optimize the material characteristics and processing parameters for enhanced fatigue response.
OBJECTIVES
SLIDE 20 EXPERIMENTAL APPROACH
Materials selection … Pre-alloyed (QMP ATOMET 4601 Ni-Mo pre-alloyed powder) Admixed (QMP ATOMET 4001 Mo pre-alloyed powder admixed with Ni)
Molding grades particles (50-75 mm)
0.6 ~0.1 0.15-0.20 0.50-0.55 1.8 ~0.003
[%] Graphite additions O Mn Mo Ni C Chemical composition
SLIDE 21 EXPERIMENTAL APPROACH
Phases … Phase I (a): Phase I (a): Mechanistic understanding of the effects of pore amount/type on fatigue behavior;
ß Find the relationship density-open/closed
porosity ratios for our composition-processes;
ß Pore/Microstructure (matrix) interactions;
Phase I (b): Phase I (b): Microstructure effects on fatigue response;
ß Microstructure 1 vs. Microstructure 2;
Phase II: Phase II: Is fatigue resistance a state function ???
ß Effects of pore size/shape on fatigue.
SLIDE 22 Open pores
EXPERIMENTAL APPROACH
Phase I … Density –closed/open porosity relationship ß Produce samples of our composition in both pre-alloyed and admixed conditions; ß Adjust compaction (conventional press, warm compaction, powder forging, etc.) to get the full range of densities:
Set 1 Set 2 Set 3
100% Closed 100% Open
Porosity 7.75
highest possible 7.0 <6.5 Density [g/cm3]
Closed pores
SLIDE 23 EXPERIMENTAL APPROACH
Phase I … Density levels selection Micro- structure
Low level of closed porosity 30% open porosity & 70% closed porosity 70% open porosity & 30% closed porosity
Pore amount/ type Set 3 7.75+ Set 2 7.2-7.25 Set 1 6.8-6.9 Density [g/cm3]
SLIDE 24
EXPERIMENTAL APPROACH
ß Compaction:
‘ low densities (Set 1): normal compaction; ´ intermediate densities (Set 2): controlled temperature compaction (warm compaction 145° F );
” high densities (Set 3): powder forging. ß Sintering: · temperature:T=2050° F ;
6 time: t=30 min;
ÿ T and t invariant for phase I. Phase I … Compaction +Sintering
SLIDE 25
EXPERIMENTAL APPROACH
ß Post sintering heat treatment: ÿ austenitize @ 1600-1700° F for 30 min (similar austenitic grains) ÿ quench to 2 microstructures (for both pre-alloyed and admixed): ÿ temper @ 350-450° F for 30 min-1 hr (similar matrix micro-hardness) Phase I … Heat treatment Martensite + ~10% R.A. Martensite + Bainite Martensite + Pearlite + ~10%R.A. Martensite + Bainite + Pearlite
SLIDE 26 EXPERIMENTAL APPROACH
ß Two microstructural considerations are relevant: Phase I(a): pores vs. matrix
- How porosity interacts with the matrix and when microstructure
becomes cause of failure
- Two microstructures (M / M+X) will be analyzed at three porosity
levels and the pore-to-matrix transition will be investigated for all the 12 cases (6 for pre-alloyed and 6 for admixed)
Phase I(b): matrix 1 vs. matrix 2
- How different microstructures influence fatigue behavior
- Two microstructures will be studied and their effects on fatigue
initiation and propagation will be assessed for both pre-alloyed
Phase I … Effects of pores and microstructures
SLIDE 27
EXPERIMENTAL APPROACH
Phase I … Two microstructural considerations Low High density density Pore Pore/Matrix Matrix control control control
A. ? ? B.
Cooling Fatigue rate 2 behavior 2 Cooling Fatigue rate 1 behavior 1 Microstructure 1 Microstructure 2
SLIDE 28 EXPERIMENTAL APPROACH
Fatigue testing … Specimens and equipment Dog-bone specimens for pull-pull/push-pull CT specimens for FCGR
[Courtesy of Westmoreland]
smin smax smean sa
SLIDE 29 EXPERIMENTAL APPROACH
Fatigue testing …
conducted by the WPI team in collaboration with FTA;
- 1 sample for each of the 12
conditions (prealloyed+admixed, 3 density levels, 2 microstructures)
- The tests will be done at an
- utside testing facility in parallel
with the fatigue crack growth work;
- 3 failed samples at 4 life levels
for each of the 12 conditions): * 103-104
* 104-105 * 105-106 * 106-107
tests (E647)
- 1. Pull-pull / Pull-push tests
(E466)
SLIDE 30 One density level is selected (~7.2 g/cm3, same as Set 2 in Phase I) and 4 ways
- f achieving are investigated in parallel (we choose the most attractive alloy
from fatigue point of view [of the 12 combinations] and concentrate our attention on how pore size/shape will influence its behavior):
1. Compaction - coarser powder, 100-105 mm; 2. Normal compaction to 7.0 g/cm3, followed by a different temperature/time sinter; 3. Double press/Double sinter 4. Surface densification (7.0 g/cm3 - core and 7.2 g/cm3 -
EXPERIMENTAL APPROACH
Phase II … Is Fatigue Limit a State Function ? Pore size/shape effects on the fatigue behavior
SLIDE 31 EXPERIMENTAL APPROACH
Phase II … Various pore sizes/shapes
Pore morphology (size/shape)
4.
Surface densified (core 7.0 g/cm3 and
7.2 g/cm3)
3.
DP/DS
2.
Press to 7.0 g/cm3 and different sinter to 7.2 g/cm3
1.
Coarser particles
100-105 mm
Molding grades particles
50-75 mm
Case study
7.0 / 7.2
ß Fatigue crack growth work will be conducted for one
selected microstructure and one density level
SLIDE 32 EXPERIMENTAL APPROACH
Other experimental considerations … ß Inclusion level is low shed light on pore and microstructure effects; ß Sintering atmosphere: synthetic dissociated ammonia; ß Lubricating additives: Acrawax C, AncorMaxD; ß Low residual stress levels are critical to understand the true behavior of the materials and have a fair comparison basis:
- stress relief is done during tempering
- additional stress relieving may be needed after machining.
SLIDE 33
IT IS ALL IN THE DETAILS …
ß
Prepare samples of both pre-alloyed and admixed alloys for the 2 microstructures with the whole range of densities from 6.5 to 7.86 g/cm3; ß Determine closed and open porosity levels for each alloy and microstructure; ß Develop relationships between density and closed to open porosity ratios for all the 2 microstructures in both pre-alloyed and admixed conditions; ß Select three densities corresponding to: closed porosity only, two controlled mixtures of closed and open porosity (70%C+30%O and 30%C+70%O) for each case; ß Perform static tensile tests to get YS, Young’s modulus, UTS for all the 12 cases in Phase I and 4 cases in Phase II (10 samples per case);
SLIDE 34 IT IS ALL IN THE DETAILS … contd.
ß Analyze microstructural results and microhardness for different heat treatments on both the homogeneous and non- homogeneous materials for each of the microstructures:
- Different quenching conditions
ß Do a study on the austenitic grain size and assess the possibility of constant austenitic grain size for all the cases; ß Check the residual stress level and decide if an additional stress relieving is needed after the post-sintering heat treatment; Adjust the stress relieving procedure to eliminate residual stress; ß Prepare samples for the life study (200 dog-bone samples) and the fatigue crack growth work (16 compact tension specimens); ß Machine all the samples; ß Start fatigue work.
SLIDE 35
AFGROW
ß AFGROW was developed by the Analytical Structural Mechanics branch, Air Vehicle Directorate, U.S. Wright-Peterson Air Force Research Laboratory ß Input data required: material properties, DKth, Paris coefficients, C, m, geometry and dimensions of the component, initial flaw characteristics, maximum applied load, stress ratio, choice of constant/variable amplitude; retardation/closure corrections, residual stress adjustments for known residual stresses, etc ß Output data: life predictions (cycles to failure) and failure modes for various applications
http://afgrow.wpafb.af.mil/downloads/afgrow/pdownload.php
SLIDE 36 AFGROW … CONTD.
D UA MA UE ME UA-T4 MA-T4 0.02 0.04 0.06 0.08 0.1 0.01 0.03 0.05 0.07 0.09
Maximum flaw size (in) s=20 ksi N=1 000 000 cycles
Case study I:
s = 20 ksi N = 1 000 000 cycles a = ?
W=0.5” T=4”
SLIDE 37 AFGROW … CONTD.
Case study III:
s = 20 ksi N = 10 000 cycles a = ?
D UA MA UE ME UA-T4 MA-T4 0.1 0.2 0.3 0.4 0.05 0.15 0.25 0.35
Maximum flaw size (in) s=20 ksi N=10 000 cycles
SLIDE 38 AFGROW … CONTD.
1 10
DK (ksi÷in)
10
DK (MPa÷m)
10-9 10-8 10-7 10-6 10-5 10-4 10-3 10-2 10-1
da/dN (in/cyc)
10-7 10-6 10-5 10-4 10-3 10-2 10-1 100
da/dN (mm/cyc)
R=0.1 Alloy
13%Si-M 13%Si-UM
SLIDE 39 AFGROW … CONTD.
D UA MA UE ME UA-T4 MA-T4 4000000 8000000 12000000 16000000 2000000 6000000 10000000 14000000
Number of cycles
s=17.4 ksi s=18 ksi s=21 ksi
Initial flaw size a=c=0.05 in
D UA MA UE ME UA-T4 MA-T4 4000000 8000000 12000000 16000000 2000000 6000000 10000000 14000000
Number of cycles
s=17.4 ksi s=18 ksi s=21 ksi
Initial flaw size a=c=0.07 in