engin - heat treatment for stronger aerospace gears
TRANSCRIPT
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24 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com
It is well established that carburiza-
tion of low alloy steels promotes
compressive residual surface stress
upon quenching, and that compres-
sive surface stresses enhance fatigue
life. Building upon these principles, a
U.S. Army sponsored project is in prog-
ress to improve helicopter gear fatigue
life through innovative quenching and
the achievement of deeper compressive
surface stress. The Army has established
a goal to improve the power density andlife of helicopter transmissions. Using
Pyrowear 53 alloy steel, notched test
bars and full test gears have been heat
treated by carburizing, quenching, deep
freezing, and tempering. The quench
methods examined were conventional
oil quenching and intensive quenching.
Bending fatigue results for these pieces
will be discussed in conjunction with heat
treatment finite element simulation and
X-ray analysis of combined heat treatment
residual and gear loading stresses.
BackgroundThe steel alloy Pyrowear 53 is being
increasingly used in helicopter transmis-
sion gear applications for the U.S. Army,
based primarily on its resistance to tem-
pering at high temperatures and excellentfatigue strength. These attributes are criti-
cal in attack helicopter applications where
the transmission assembly is required to
function under severe conditions wherein
loss of gear lubrication can occur. The
assembly must be able to operate witho
breakdown for a 30-minute time period
in the absence of internal lubrication or
cooling, and thus the need for a highly
temper resistant alloy. Pyrowear 53 ha
a unique alloy content, as indicated in th
alloy chemistry data presented in Table
The alloy content for this material is
specifically designed to achieve resis-
tance to softening at high temperatures
and retain hot hardness in the carburizecase, while maintaining high core impact
strength and fracture toughness.
A variety of innovative processing
techniques continue to be advanced to
C
0.10
Mn
0.35 1.00 1.00 2.00 3.25 2.00 0.10
Si Cr Ni Mo Cu V
TABLE 1: PYROWEAR ALLOY 53 BASE COMPOSITION
By A.M. Freborg, B.L. Ferguson, Z. Li, D.X. Schwam, and B.J. Smith
24 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com
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enhance material performance through
manufacturing, processing, and finishing.
For applications where part life is limited by
fatigue, significant life enhancement can be
realized by introducing compressive stress-
es in the part surface, and by eliminating
stress concentration factors.
Of primary interest in this project was
the investigation and application of a novel
heat treatment process called Intensive
Quenching to facilitate enhanced residual
surface compressive stresses, with con-
sequent material fatigue life improvement
[1-3]. Developed by Nikolai Kobasko, the
Intensive Quenching (IQ) process is an
alternative way of quenching steel parts to
achieve deep residual compression in part
surfaces. The technology is based in part
on the achievement of a large thermal gradi-
ent in the part by rapid surface cooling. In
non-carburized parts the process has been
shown to provide an extremely rapid and
uniform transformation to martensite in the
part surface layers while the core remains
austenitic. This condition creates a very
hard shell on the part that is under a state
of compression. As the hot austenitic core
cools and thermally contracts, the level of
surface compression is deepened signifi-
cantly. When the core subsequently trans-
forms from austenite and expands there
is some reduction in the level of surface
compression, but the final level of surface
compression in the IQ treated component
remains much higher than that of a conve
tionally quenched component [4-7].
For this program the premise for adapt-
ing this technology to carburized Pyrowear
53 was explored, with the goal of achievin
comparable or improved surface compres-
sion enhancement as witnessed in non-
carburized material. While carburization is
designed to achieve surface compression
in quenched parts by delaying formation o
surface martensite, the potential for
intensive quenching to foster additional
enhancement was a key factor of this
investigation.
An ongoing project sponsored by the
U.S. Army and headed by Deformation
Control Technology, Inc., is
providing important insights into
an innovative quenching process.
The authors wish to acknowledge the support of B. Smith and E. Ames of the U.S. Army AATD for their support of this work though the SBIR projec
#W911W6-05-C-0017. Appreciation is also expressed to B. Hansen of Sikorsky Aircraft Corp.; S. Rao of the Gear Research Institute; T. Krantz of th
Army Research Laboratory at NASA-Glenn; and J. Powell, M. Aronov, and N. Kobasco of IQ Technologies in Akron, Ohio. Program results describin
work in progress were presented at the American Helicopter Society (AHS) International Conference in May 2006.
ACKNOWLEDGEMENTS:
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Heat Treating and Test Loading
Simulation
As with the notch bar, an analytical
approach was taken for the test gear heat
treatment assessment with respect to
both quench flow and fixturing design. A
proprietary fixture and channeled flow sys-
tem was developed for intensive quench
process, and a comparative heat treat-
ment simulation study conducted to com
pare the predicted residual stress profile
between the intensive and oil quenched
gears.
The resulting magnitude and distributi
of predicted residual stresses for both
quenching processes are shown in the
contour plot illustrated in Figure 15. The
figure illustrates the residual stress con
tours though the mid-plane cross section
of the gear.
While both quench methods are pre-
dicted to produce nearly identical stress
in the tooth itself, both magnitude and
distribution of the compressive stress in
the root are markedly increased by inten
sive quenching. The quantitative differen
es are clearly seen in direct comparison
of stress profiles at three locations in th
tooth/root cross section (Figure 16).
Here again, as in the notch bar speci-
mens, heat treatment simulation provide
useful predictive data concerning magni-
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for Directing Intensive
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PHYSICAL CONFIGURATION OF INTENSIVE
QUENCHING SYSTEM FOR QUENCHING THE
PYROWEAR 53 TEST GEAR
FIGURE 20:
FIGURE 21:
LOCATIONS FOR X-RAY RESIDUAL STRESS
PROFILES IN OIL AND INTENSIVE
QUENCHED TEST GEARS
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Process No. Gears Tests/Gear Total
Standard OilQuench
12 6 72
IntensiveQuench
12 6 72
TABLE 5: TEST MATRIX FOR PHASE IA
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tude and distribution of the gear residual
stresses. Figures 17-19 show the predict-
ed residual stress profiles between the
oil and intensive quenched simulations
at the three locations shown in Figure16. While the tooth section (A) shows
consistent residual compression between
the two quenches (Figure 17), surface
and subsurface compression at the tooth
base (B) (Figure 18) and root center (C)
(Figure 19) show significant increases in
residual compression to a depth of 1.5
mm (0.059). This depth is slightly below
the carburizied case depth of ~0.050.
For the tooth base the predicted increase
is from 71 ksi to 102 ksi, and for the cen-ter root from 46 ksi to 90 ksi.
Based on the modeling results, physical
test gear specimens were subsequently
processed through both oil and intensive
quenching. Based on the heat transfer,
quench flow characteristics, and process
sensitivity determined from the DANTE
simulation work, an intensive quench fix
turing system was designed for the test
gear by IQ Technologies of Akron, Ohio.
The system was designed to be readilyintegrated within pre-existing IQ process-
ing equipment, demonstrating ready
adaptation of the technology within a
typical heat treatment manufacturing cel
An illustration of the system is shown in
Figure 20.
FIGURE 22:
COMPARISON OF PREDICTED VS. MEASURED RESIDUAL
STRESS PROFILES AT TWO LOCATIONS IN TWO HEAT
TREATED PYROWEAR 53 TEST GEARS.
FIGURE 23:
COMPARISON OF RESIDUAL STRESS PROFILES AT TOOTH BASE
IN UNLOADED (HEAT TREAT RESIDUAL STRESS ONLY) AND
LOADED (COMPOSITE STRESS) CONDITIONS.
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Material Characterization for Heat Treatment AnalysisProper mechanical and kinetics material property data are critical to
the accurate application of any simulation technology to process mod-
eling. For heat treat simulation, the required mechanical characteriza-
tion includes material stress-strain behavior by phase over the range
of stain rates and temperatures encountered during a given heat treat
process. Linkage with corresponding phase transformation models
then provides the general capability for the overall material model. The
heat treatment simulation software DANTE links both the mechanical
behavior model and the phase transformation kinetics models to accu-
rately predict the material response to heat treatment, specifically with
respect to metallurgical phase volume fraction, residual stress, and
distortion [8-10].
In defining material behavior, DANTEs material model incorporates
both rate dependent and independent yielding, kinematic and isotropic
hardening, and recoveryall as functions of temperature and metal-
lurgical phase. Isothermal, strain rate controlled tension, and com-
pression tests were run to characterize the stress-strain behavior of
Pyrowear 53 as a function of temperature and carbon level. From these
stress-strain data the mechanical parameters for DANTEs mechanical
model were determined and entered into the steel database.
The function of the kinetics model is to define the phase transforma-tion behavior of the given steel within the heating and cooling tempera-
tures and rates of the process. For the DANTE software, a complex set
of differential equations is used to describe the phase transformation
behavior for both diffusive (i.e. austenite formation or austenite decom-
position to ferrite, pearlite, or bainite) and non-diffusive (i.e. austenite
decomposing to martensite) transformation processes. This set of
equations is then coupled with the equations governing the mechanical
and thermal behavior of the material being subjected to the process
scenario under consideration. Mechanical property data for the carbu-
rized Pyrowear 53 material were obtained by tensile and compression
tests conducted at a variety of strain rates and temperatures, for vary-
ing carbon levels [11].
Phase transformation data for the kinetics models are obtained prin-
cipally by dilatometry. For the Pyrowear material samples were through-
carburized to four carbon levels (0.1, 0.3, 0.5, and 0.8 percent by
weight), and then provided to Oak Ridge National Laboratory for testing
using their high speed quenching dilatometer.
Steel phase transformation kinetics are most commonly presented
in the form of isothermal Time-Temperature-Transformation (TTT) or
Continuous Cooling Transformation (CCT) diagrams. For the subject
Pyrowear steel, Carpenter Technology Corporation was able to provide
a simple TTT diagram and critical temperatures. From this figure,
several important heat treating characteristics of Pyrowear 53 were
evident. The supplied data indicated that the steel is highly resistant
to diffusive phase transformation, with the ferrite/pearlite nose occur-
ring at 704 C (1300 F) after quickly cooling from the austenite rang
and holding for 15 minutes. This helps to explain the high hardenabil
of this steel. The specified core martensite start temperature is 510
C (950 F), and the associated carburized case martensite start tem
perature is 130 C (265F) [1,2]. Consequently, phase transformatio
kinetics characterization for simulation focused primarily on the auste
ite-to-martensite transformation. The material kinetics parameters we
implemented into the DANTE steel database after mathematical fittin
of dilatometric data obtained through testing a series of carburized
samples on ORNLs quenching dilatometer [11].
Sound material data, linking mechanics with phase transformation
predictive capability, is essential for accurate implementation of simu
tion technology to process modeling. The robust design of the DANTE
material constitutive model, coupled with the detailed Pyrowear 53
material characterization data, provided a solid foundation for the pro
cess simulation work required in this project.
Objectives and Program OutlineThe primary objective of this program was to demonstrate the
potential for improving the bending fatigue strength of Pyrowear
53 steel used for helicopter transmission gears by heat treat-
ment. The Armys Rotorcraft Force Modernization Fleet requires asubstantial increase in main gearbox power density, with minima
impact on the gearbox interface.
In lieu of redesigning gears and increasing gearbox size and
transmission weight, the program focused on achieving the highe
power density requirement through application of an innovative
heat treating process. To achieve this objectiveand demonstra
technical, engineering, and commercial feasibility for the innova-
tionan evaluation program consisting of a combination of pro-
cess simulation and physical experiments was defined. The prin-
cipal goal was to establish two independent material populations
based solely on differences in heat treatment, with simulation,
physical testing, and bending fatigue test results used to charac
terize improvement, based principally on the effect of enhanced
residual surface compressive stresses. The program is outlined
as follows:
Define heat treatments to be examined (isolation of heat treati
effects with respect to residual stress)
Establish testing program for feasibility assessment
Predictive materials engineeringsimulate heat treatments
Processing and testing of sample coupons
Evaluate results
Assess process sensitivity and enhance process control
Evaluation and testing of refined process
Implement analysis and physical testing in full gear component
FIGURE 1: FIGURE 2:
Carburized Surface
MODIFIED V-NOTCH SAMPLE CONFIGURATION SCHEMATIC OF TEST SAMPLE SHOWING CARBURIZED SURFACE
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Analysis and Testing ProgramProgram Phase IFeasibility Assessment
To demonstrate the potential for improving the bending fatigue
strength of Pyrowear 53 steel for helicopter transmission gears
by heat treatment, 25 kg (55 lbs.) of 60.3 mm (2 3/8) diameter
Pyrowear 53 bar stock was donated from DCTs inventory. A general
processing and testing program for the material was then estab-
lished, as summarized in Table 2.
Sample Processing and Preparation
Rectangular test bar blanks were machined from the bar stock
with the length of the test bar being coincident with the bar stock
rolling direction. In discussion with gear engineering experts at the
Army Gear Research Laboratory at NASA-Glenn and Bell Helicopter, amodified V notch geometry for the three-point bending fatigue sam-
ple was defined; the notch geometry was consistent with notched
flexure fatigue specimens used by Bell Helicopter. The modified V
notch has a 60 included angle with a 1.16 mm radius (0.0455) to
simulate a typical gear tooth root geometry. The test specimen con-
figuration is shown in Figure 1.
To most accurately capture the combined carburizing and geometry
effects of a Pyrowear gear, the notched test bars were carburized
only on the top surface (including the notch), as shown schemati-
cally in Figure 2. To accomplish the localized carburization, the sides
and bottom surfaces of the bending fatigue samples were masked
with copper plating. This is standard practice for blocking carburiza-
tion of selected surfaces on aerospace parts.
Process Simulation
Prior to physical heat treating, a series of heat treat models were
run to characterize the respective processes to be applied to the
test pieces. The use of a simulation tool provided a rapid, non-
destructive, and cost-effective means of assessing both the internal
metallurgical behavior during and after processing as well as the
mechanical response, in terms of residual stress, hardness, and
dimensional change. For this task, the heat treatment simulation
software DANTE was used to characterize the carburization and two
quench hardening processes selected for the program.
The Pyrowear 53 material was carburized to a carbon level of 0.80
Process
Route
Heat
TreatSurface
BendingFatigueSamples
Metallurgical
Testing
1
2
OilQuench
18
18IntensiveQuench
Microstructure,Microhardness,
X-ray
Microstructure,Microhardness,
X-ray
Milled &Superfinish
Polished
Milled &Superfinish
Polished
FIGURE 3:
3
2
1
FINITE ELEMENT MESH OF TEST SAMPLE
TABLE 2: TEST MATRIX FOR PHASE I FEASIBILITY ASSESSMENT
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The intensive quench is applied axially to the gear using spe-
cially controlled, high-velocity water flow. A fixture with the aus-
tenized gear is sealed against a vertical coaxial pipe (shown in
Figure 20), which contains specially designed baffles to direct the
quench across the various gear surfaces and through the teeth.
Precise timing of quench application and shut-off is essential.
discussed in Table 5, for the planned single tooth bend testing
a total of 12 test gears were oil quenched, and 12 gears were
intensively quenched using the fixturing system described in
Figure 20.
CROSS SECTION CONTOUR MAP OF RESIDUAL STRESS IN OIL
QUENCHED GEAR FOR UNLOADED AND LOADED CONDITIONS
CROSS SECTION CONTOUR MAP OF RESIDUAL STRESS IN INTENSIVE
QUENCHED GEAR FOR UNLOADED AND LOADED CONDITIONS
FIGURE 24: FIGURE 25:
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COMPOSITE STRESSES IN SINGLE TOOTH BENDING (OIL QUENCH) COMPOSITE STRESSES IN SINGLE TOOTH BENDING (INTENSIVE QUENCH)
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After processing, one of each gear type (oil and IQ) was
tested in X-ray dif fraction to assess both residual stress mag-
nitudes and variability relative to the simulation predictions.
Residual stress profiles were taken at two locations for each
gear, with the profile made at the center root location (Position
C in Figure 16). The X-ray testing orientations taken on the
gears are shown schematically in Figure 21.
The measured X-ray residual stress profiles from each gear
are compared with their corresponding simulation predictions in
Figure 22. The predicted residual stress profiles for both oil and
intensively quenched gears displayed excellent agreement with
the stresses calculated from X-ray measurements. Also, the
intensively quenched gear exhibited ~40% increase in residual
compression over the baseline oil quench to a depth of 0.050.
Based on the modeling and X-ray test resultsas well as the
results of residual stress/three-point bending fatigue evaluation
conducted in the early par t of this investigationresults of the
single tooth bending fatigue testing currently underway are
predicted to show strong promise for intensive quenching
providing substantial enhancement in bending fatigue perfor-
mance over the baseline oil quenching process.
An additional engineering utility of the DANTE heat treatment
simulations is the ability to analyze composite stresses in thegear. Stresses generated in gear loading are of course affected
by the residual stresses generated in the heat treatment.
Quantitive assessment of the composite stress is not straight-
forward, and has typically been done under the assumption that
the stress states are additive.
Simulation results illustrating this interaction for both the
oil intensively quenched gears are shown in Figures 23-25.
The nonlinear response of residual stress at the tooth base
is clearly evident in the comparitive stress plots presented
in Figure 23. The graph compares the pre-loaded tooth base
residual stress profile with that under a 900 lb. tooth load. The
simulation provides important data concerning the non-lineral
response, as well as information concerning depth relation-
ships. From a design standpoint, this type of analysis provides
an impor tant tool in engineering residual stresses to meet
complex loading requirements.
Additional insight into behavior of the composite stresses can
be gained through examination of cross-sectional contour maps
such as those shown in Figures 24 and 25. For example, in
the oil quenched gear (Figure 24) one can see localized tensile
regions below the tooth. This region increases in both volume
and magnitude when the tooth is subjected to loading. In con-
trast, the intensively quenchedz gear (Figure 25) shows a much
smaller sub-tooth tensile region, which does not increase
significantly during loading. Such characterization is valuable
in understanding potential fracture path and failure mode.
Therefore extending heat treatment simulation to include sub-
sequent loading represents an impor tant engineering design
milestone.
ConclusionsThis study proved the feasibility of improving bending fatigue
strength by altering the hardening process. The intensive quench-
ing process produced a deeper compressive stress state after
CONTINUED ON PAGE 50
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the worst performance with near 50 percent residual stress drop-off at
both outer edges. Also, the stacked configuration displayed a wide regio
in the bar interior with tensile stress on the order of 330 MPa, extendin
through the bar thickness. The magnitude and spread of these tensile
stresses are not as pronounced in configurations A and B. Thus from a
residual stress standpoint, expectations were for configuration A to sho
superior bending fatigue performance as compared with the oil quenche
samples (see oil stresses in Figure 5). Configuration B would be expect
ed to show inferior, or at best similar performance to the oil quench.
Configuration C samples were not physically evaluated.
Physical Testing of Simulated Quench Configurations
In continuing the notch bar fatigue characterization, 84 additional
notch bar samples were prepared using a carefully planned design-of-
experiments approach to physically quantify the findings revealed in th
DANTE simulations. Table 4 details this second notch bar testing plan
To facilitate the normal and parallel directional flow, a new fixture w
developed for the notch bars for use in the quench processing equip-
ment. The fixture was a stainless steel cylinder in which the notch bar
was positioned diametrically. During austenitization, the entire fixture
assembly (with sample) was heated. Transfer of the fixture into the
quenching unit was rapid and highly consistent, with the entire assem
bly easily placed within the IQ water flow tube. Comparative X-ray andsimulation residual stress calculations are presented in Figure 11.
As in the review of the surface stress simulation predictions, exami
nation of the residual stress profiles would also indicate superior
bending fatigue performance of the IQ-face samples (config. A) over
the oil quenched and parallel quenched specimens (config. B). Bendin
fatigue test data for this evaluation is shown in Figure 12. The new da
showed a marked reduction in scatter, as both overall notch surface
quality was improved and process stability was enhanced. Most impor
tantly, the bending fatigue test data parallels exactly the expected per
Notch Bar Bending Fatigue PerformanceGround Notch with Tighter Process Control
1250
1500
1750
2000
2250
2500
10,000 100,000 1,000,000 10,000,000
Oil
IQ-Face
IQ-Parallel
(2)
(6)
MaxLoad(lbs)
Cycles to Failure
Gear Specifications
No. Teeth 40
Dia. Pitch 10
PressureAngle 20
Pitch Dia. 4.0
Base Cir.Dia. 3.76
Outside Dia. 4.18
Root Dia. 3.75
Tooth Thick 0.11
RESIDUAL STRESS PROFILE COMPARISON AFTER HEAT TREAT
THROUGH TOOTH/ROOT CROSS SECTION
B
A
B
C
A
B
C
REFERENCE DIRECTIONS POINTS IN TOOTH/ROOT CROSS SECTION
TABLE 4: TEST MATRIX FOR PHASE IA
3-POINT BENDING FATIGUE DATA FOR PHASE IA NOTCH BAR EVALUATION
Oil Quench
Intensive Quench
FIGURE 12:
FIGURE 13:
TEST GEAR FOR SINGLE TOOTH BENDING FATIGUE EVALUATION
FIGURE 16:
SCHEMATIC OF SINGLE TOOTH BENDING FATIGUE TEST SET-UP
FIGURE 14:
FIGURE 15:
Process Configuration No. Samples
Oil Immersion Quench 20IQ Quench Normal to
Notch Face (A)
20
IQ Quench Parallel to
Notch Face (B)
20
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formance as predicted in the simulations.
The IQ-faced quenched samples showed
a clear maximum cyclic load limit of 1,825
lbs., whereas the samples quenched in the
standard oil quench practice showed a clear
limit at 1,650 lbs. Also consistent with the
simulation stress predictions and X-ray calcu-
lations were the IQ-parallel quench samples,
which performed slightly worse than the oil
quenched material.
PROGRAM PHASE IIIMPLEMENTATION
INTO FULL GEAR COMPONENT
With the strong feasibility demonstrated
in Phase I and Phase IA for achieving the
bending fatigue life increase goal, the next
phase was initiated to extend the evalu-
ation to full gear components. Through
consultation with both the U.S. Army AATD
and military helicopter OEMs, a simple
spur gear design was selected as the test
component for the second phase of this
project. Configuration and summary gear
specifications are shown in Figure 13.
Prior to quench hardening, the gears
were vacuum carburized selectively on the
teeth surfaces, with copper plating mask-
ing the balance of the gear as shown in
the related figure.
Process and Testing Plan
The effect of intensive quenching on th
bending fatigue strength of the Pyrowear
53 gear is currently being evaluated by
single tooth bend testing. The configurati
of the test apparatus is shown schemati-
cally in Figure 14. In the test, a cyclic loa
is applied to two teeth via a movable upp
anvil and a stationary lower anvil, with th
gear remaining fixed by a shaft support.
For this tooth bending test, the evaluation
plan shown in Table 5 was developed to
quantitatively assess single tooth bending
fatigue improvement.
Radial Stress Profile-Gear Tooth from Simulation
-50
-40
-30
-20
-10
0
10
20
30
0 0.01 0.02 0.03 0.04 0.05
Intensive Quench
Oil Quench
S
tress,
ksi
Depth, in
Hoop Stress Profile-Tooth Root from Simulation
-120
-100
-80
-60
-40
-20
0
20
40
0 0.02 0.04 0.06 0.08 0.1
St
ress,
ksi
Depth, in
Intensive Quench
Oil Quench
Hoop Stress Profile-Center Root from Simulation
0 0.02 0.04 0.06 0.08 0.1 0.12
Intensive Quench
Oil QuenchStress,
ksi
Depth, in
-120
-100
-80
-60
-40
-20
0
20
40
RESIDUAL STRESS PROFILE COMPARISON
(RADIAL STRESS) AT POSITION (A) IN TEST
GEAR; FROM SIMULATION
RESIDUAL STRESS PROFILE COMPARISON
(HOOP STRESS) AT POSITION (B) IN TEST
GEAR; FROM SIMULATION
FIGURE 17: FIGURE 18: FIGURE 19:
RESIDUAL STRESS PROFILE COMPARISON
(HOOP STRESS) AT POSITION (C) IN TEST
GEAR; FROM SIMULATION
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30 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com
seemingly insignificant, produced a distinct
variation in the surface residual stress pro-
file across the notch surface.
Simulations showed that the surface
residual stress below the notch could vary
from 600 MPa (87 ksi) at the outer edge
to 45 MPa (6.52 ksi) at the center. This
critical finding illustrates both the utility
and importance of a simulation design tool
in understanding and optimizing a manu-
facturing process such as heat treatment.
With this information, modifications to the
IQ valve system were made accordingly.
Future plans also include computer control
with data recording of operation and water
application.
Coupling improved flow control with
enhanced notch surface quality achieved
by grinding, the next variable examined
was the orientation of the par t relative
to the quench flow. Here again, process
simulation with the DANTE design soft-
ware demonstrated critical value. With thegoal being optimal application of intensive
quenching, three new configurations were
examined (each configuration is illustrated
schematically in Figure 8).
DANTE simulations were conducted for
each of these configurations to determine
sensitivity of stress magnitude and distri-
bution as a function of intensive quench
flow orientation. As in the flow timing
diagnostic work previously discussed,
profiles of the resulting residual stresses
across the surface notch were compared
for each case. The plot in Figure 9 dis-
plays the results, while Figure 10 shows
contour maps of the final residual stress
through the notch cross section for each
case. What appears immediately evident
from the simulations is that, as seen with
flow timing application, the orientation of
the part relative to flow also has a signifi-
cant effect on residual stressspecifi-
cally the stress distribution.
Configuration A (normal flow) displayed
the most consistent and uniform residual
stress, with minimal variation in stress
magnitude across the length of the notch.
With flow parallel to the notch in process-
ing a single sample (configuration B),
stress magnitude remains relativelyuniform from the leading edge through
the center, but drops off rapidly at the
trailing edge by nearly 50 percent (225
MPa vs. max. compression of ~450 MPa).
The stacked configuration (C), with both
outer edges essentially insulated, showed
(A)
(B)
(C)
SAMPLE QUENCH CONFIGURATIONS
EXAMINED IN PHASE IA
FIGURE 8:
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gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS
COMPARISON OF PREDICTED SURFACE RESIDUAL STRESS ACROSS
THE ROOT OF THE SAMPLE NOTCH.
-700
-600
-500
-400
-300
-200
-100
0
100
200
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
Oil X-Ray Calc
IQ-side X-Ray Calc
IQ-Face X-Ray Calc
Oil DANTE
IQ-Side DANTE
IQ-Face DANTE
Res
idualStress,
MPa
Depth, mm
PREDICTED CROSS SECTION RESIDUAL STRESS CONTOURS FOR 3 QUENCH CONFIGURATIONS
COMPARATIVE X-RAY AND SIMULATION PREDICTED RESIDUAL
STRESS PROFILES IN NOTCH BARS
FIGURE 9: FIGURE 11:
FIGURE 10:
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28 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com
percent and an effective case depth of 0.5 mm. The DANTE simula-
tion employed a carburization cycle with applied carbon potential as
prescribed directly from the gear OEMs. The 3-D mesh for the simu-
lation is shown in Figure 3.
Simulations were also performed to assess the probable effectson residual stress and hardness between oil and intensive quench-
ing processes. Table 3 summarizes the process steps for each of
the evaluated quenching operations after carburization. Simulation
of the quenching was performed through application of heat transfer
coefficients for the oil or intensive quenching, and the subsequent
cryogenic treatment. The DANTE tempering model was employed for
the temper operation. The simulations indicated a marked enhance-
ment in both surface and subsurface residual compression for
intensive quenching. Therefore, physical processing and testing was
initiated on the Pyrowear bend test coupons. Predictions of hard-
ness and residual stress are compared against measured values in
the next section.
Physical Characterization
Upon completion of the heat treatments on the Pyrowear notch
bar specimens, microhardness profiles were measured at the sam-
ple notch, beginning at a depth of 0.005 (0.13 mm). A plot com-
paring the resulting hardness profiles for the two heat treatments
is presented in Figure 4; also included are the hardness profiles
predicted by the heat treat simulations. Here one sees the most
pronounced improvement in hardness at the surface and subsur-
face to a depth of about 0.02 (0.5mm).
Both a conventional oil quenched and an intensively quenched
notched bar sample were sent to Lambda Research for surface
and internal residual stress characterization. A combination X-ray
diffraction/chemical etching technique was used to measure lattic
strains and then calculate the longitudinal residual stress as a fun
tion of depth from the notch root. Measurements were taken at 0
mm (0.008) increments, to a depth of 1.2 mm (0.047). The sim
lation and the measured test results display excellent agreement,as shown in the plot presented in Figure 5. The project methodolo
proved the value of process simulation as a predictive design tool
To assess the bending fatigue resistance of the carburized and
heat treated Pyrowear 53 notch bar samples, three-point bend-
ing fatigue tests were conducted using a servo-hydraulic testing
machine at Case Western Reserve University. The machine was
operated using load control, with the minimum to maximum load
ratio being 0.1 so that the notch was under constant cyclic ten-
sion. This condition assured that no slippage or sample move-
ment occurred during testing, at least up to the point of large ram
displacement due to cracking. To stop the test quickly after crack
development, strain gages were applied to the samples at the
notch root.
Eighteen oil quenched and 17 intensively quenched fatigue
samples were tested in bending fatigue to compare the effect of
the two heat treat processes on the resulting fatigue resistance.
Figure 6 shows the fatigue test data for the two quenched condi-
tions. A test was stopped after the number of cycles exceeded 10
and declared a runout. Rupture of the strain gage occurred when
crack began to extend, and the test machine would automatically
stop and the sample was declared a failure. Failed samples were
bent, not broken. While there is scatter evident in the data, Figure
shows that the resistance to bending fatigue is higher for the inte
sively quenched test bars than for the conventionally quenched oil
test bars.
Statistical analysis of the data was performed to verify that
the apparent improvement in bending fatigue resistance due to
intensive quenching was real [13]. Following a relationship used to
compare the bending fatigue strength of carburized gear teeth, raw
data were transformed to allow comparison of projected lives at a
normalized load. In this case, the normalized load was selected a
1,500 pounds, and a Weibull distribution was fit to the transforme
data. A comparison of these data at both the 10- and 50-percent
lives showed a statistical difference between the intensively and
quenched and oil quenched test bars (see Table 3) [13]. The anal
sis demonstrates the benefit of deeper residual compressive stres
COMPARISON OF PREDICTED AND MEASURED
HARDNESS AT THE TEST SAMPLE ROOT
PREDICTED VS. MEASURED RESIDUAL STRESS PROFILES AT
THE V-NOTCH AS A FUNCTION OF DEPTH.
FIGURE 4: FIGURE 5:
Intensive Quench
Test Bar
Oil Quench
Test BarWeibull Shape Parameter 0.458 0.665
10% Life(103Cycles)
50% Life(106Cycles)
25 21
1.5 0.36
Ratio of 10% Lives (IQ/OQ) 1.2
Statistical Significance 98%
TABLE 3: STATISTICAL ANALYSIS OF TRANSFORMED FATIGUE DATA
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gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS
produced by intensive quenching on bending fatigue resistance. At
the 50-percent life level, the ratio of improvement was 4.2, with
a 98-percent confidence level. However, at the lower 10-percent
life level, the ratio dropped to 1.2, with just a 60-percent statisti-
cal confidence. The relatively low Weibull shape parameter for bothquenched conditions is indicative of scatter in the test data. The dif-
ference in the significance of the life data comparison is also indica-
tive of the test data scatter. One probable source of scatter was the
surface finish of the notch and the fact that grinding was not per-
formed after the milling operation to shape the notch.
PHASE IAPROCESS SENSITIVITY AND REFINEMENT
Simulation in Process Sensitivity Assessment
The data scatter seen in the
initial notch bar testing neces-
sitated additional investigation
into IQ process variables and
sensitivity. The DANTE predic-
tive heat treatment software
tool provided significant insight
into the process sensitivity,
particularly with respect to the
effect of variation in water flow
and application time.
The initial quench configura-
tion used for the notch bar
samples was a fixture system
in which the water flow was
directed parallel to the longitu-
dinal direction of the sample,
as shown schematically in
Figure 7.
Using the DANTE software, DCT executed a series of heat treat-
ment simulations to characterize the sensitivity of resulting residual
compressive stress in the sample with respect to water flow applica-
tion and timing. It was found that full flow must be achieved within
1.0 seconds from initial quench application to develop the tem-
perature gradient required to achieve the deep compressive residual
stresses. This information is crucial because it demonstrates quan-
titative sensitivity data for quenching this type of root geometry. The
shift in thermal gradient caused by an initial reduced flow, although
3-POINT BENDING FATIGUE DATA FOR CARBURIZED AND
HARDENED PYROWEAR 53 NOTCHED TEST BARS.
PHASE I QUENCH CONFIGURATION
FIGURE 7:
IGURE 6:
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heat treatment than conventional oil quenching, and this resulte
in improved bending fatigue strength.
In addition to actual test data this study showed the benefit o
using accurate numerical simulation of the carburization and ha
ening processes to assess the nature of the differences betwee
the processes, and to predetermine the quenching conditions
required to achieve the goal of deeper residual compression, th
improved resistance to fatigue. Finally, the utility and importanc
of considering composite (heat treatment residual and loading)
stresses in assessing gear loading was also shown. Further wor
in this area by DCT includes expansion of the simulation capabi
ties to include both mechanical shot and laser shock peening
effects in further enhancing composite residual stresses in a
carburized gear. Preliminary work in this area is also underway
within a related U.S. Army sponsored project.
ABOUT THE AUTHORS:
REFERENCES1) N.I. Kobasko and V.S. Morganyuk, Numerical Study of Phase Changes,
Current and Residual Stresses in Quenching Parts of Complex Configuration,
Proceedings of the 4th International Congress on Heat Treatment of Materials,
Berlin, Germany, 1 (1985), 465-486.
2) N.I. Kobasko, Intensive Steel Quenching Methods. Theory and Technology of
Quenching, Springer-Verlag, New York, N.Y., 1992, 367-389.
3) N.I. Kobasko, Method of Overcoming Self-Deformation and Cracking During
Quenching of Metal Parts, Metallovedenie and Termicheskay Obrabotka Metallo
(in Russian), 4 (1975), 12-16.
4) M. Hernandez et al., Residual Stress Measurements in Forced Convective
Quenched Steel Bars by Means of Neutron Diffraction, Proceedings of the
2nd International Conference on Quenching and the Control of Distortion, ASM,
(1996), 203-214.
5) M.A. Aronov, N.I. Kobasko, J.A. Powell, J.F. Wallace, and D. Schwam, Practical
Application of the Intensive Quenching Technology for Steel Parts, Industrial
Heating Magazine, April 1999, 59-63.
6) A.M. Freborg, B.L. Ferguson, M.A. Aronov, N.I. Kobasko, and J.A. Powell,
Intensive Quenching Theory and Application for Imparting High Residual Surfac
Compressive Stresses in Pressure Vessel Components, Journal of Pressure
Vessel Technology, 125 (2003), 188-194.
7) B.L. Ferguson, A.M. Freborg, and G.J. Petrus, Comparison of Quenching
Processes for Hardening a Coil Spring, Advances in Surface Engineering,
Metallurgy, Finishing and Wear, SAE (01) 1373, (2002).
8) D. Bammann et. al., A Material Model for Carburizing Steels undergoing Phase
Transformations, Proceedings of the 2nd International Congress on Quenching
and Control of Distortion, (Cleveland, OH: ASMI, 1996), 367-375.
9) B.L. Ferguson, A.M. Freborg, G.J. Petrus, and M.L. Callabresi, Predicting the
Heat Treat Response of a Carburized Helical Gear, Gear Technology (2002),
20-25.
10) B.L. Ferguson and A.M. Freborg, A Design Tool for Tuning and Optimizing
Carburizing and Heat Treat Processes, Technical Paper 2002-01-1475, SAE
(2002).
11) B.L. Ferguson and A.M. Freborg, Software to Predict Distortion of Heat Treate
Components, U.S. Army SBIR - Phase II Final Report, USAAMCOM TR 02-D-46
(2002).
12) Product Technical Data, Carpenter Technology Corporation, 2001.
13) T. Krantz, Army Research Laboratory, Private Communication, June 2004.
CONTINUED FROM PAGE 37
A.M. Freborg, B.L. Ferguson, and Z. Li are with Deformation
Control Technology, Inc., which is based in Cleveland, Ohio. Go
online to [www.deformationcontrol.com]. D.X. Schwam is with
Case Western Reserve University, and B.J. Smith is with the U.S
Army AATD, which is located in Fort Eustis, Virginia.
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