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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 345
EFFECT OF COLD ROLLING ON LOW CYCLE FATIGUE BEHAVIOR
OF A NEAR -ALPHA TITANIUM ALLOY
M. K. Tripathi1
, N.C.Santhi Srinivas2
, V. Singh3
2, 3
Centre of Advanced Study, Department of Metallurgical Engineering, Indian Institute of Technology (Banaras Hindu
University), Varanasi-221 005, India
1
Department of Metallurgical and Materials Engineering, National Institute of Technology, Raipur-492010,India
2
Corresponding author : ncssrinivas.met@itbhu.ac.in
Abstract
Four cold reductions, viz. 2.5, 5, 7.5 and 10 percent are given to a near- α Titanium alloy Timetal 834, following solution treatment in
α+β range and stabilization. LCF tests were conducted at room temperature in total strain control mode at Δεt/2 from ± 0.45% to ±
1.05%. Prior to LCF testing, gage section of the specimens was elecrtopolished to reveal the surface modifications, resulting from
fatigue testing. It was observed that cold rolling considerably enhanced fatigue life of the alloy.
Key words: Titanium alloys; cold rolling; low-cycle fatigue; strain rate; Coffin-Manson relation
--------------------------------------------------------------------***------------------------------------------------------------------------
1. INRODUCTION
Timetal 834 is one of the latest near-α commercial titanium
alloy designed for high temperature application, up to service
temperature of 873 K, as compressor disc and blade of gas
turbines of jet engines [1]. It has been established that the best
combination of strength, creep resistance and low cycle fatigue
life is exhibited in α+β treated condition, with ~12 volume
percent primary α in the matrix of transformed β with fine
lamellar structure [2,3]. Dual slope in Coffin-Manson (C-M)
relationship was observed by Singh et al [4] and was
established to be associated with planarity of slip and its role in
promoting crack initiation, at low strain amplitudes. Recently, it
has been shown by Srinadh and Singh [5,6] that bilinearity in
C-M relationship in this alloy, disappeared due to 15% cold
rolling. The present work was undertaken to investigate the
effect of different degrees of cold rolling on the low cycle
fatigue behaviour of the alloy Timetal 834. The material of the
present investigation, Titanium alloy Timetal 834, was
imported from M/s Timetal U.K and supplied by the project
office (Materials), Kaveri Engine Programme, DRDO,
Hyderabad, India. The alloy contained 5.8Al, 3.7Zr, 0.5Mo,
0.34Si, 4Sn, 0.7Nb, 0.06C, 0.105O, 0.0025N, 0.004H and
balance Ti (wt %). The material was received in the form of
rods of 18mm in diameter and in hot rolled, solution treated and
stabilized condition. The solution treatment was given in the
(α+β) phase field at 1283K for 1 hour and the blanks were
cooled in air. The solution treated blanks were aged at 973K for
2 hours and cooled in air to stabilize the microstructure. This
heat treatment is designated as AR in the present work. These
blanks were subjected to different reductions such as 2.5%
(AR-2.5CR), 5% (AR-5CR), 7.5%(AR-7.5CR) and 10%(AR-
10CR) by rolling.
LCF tested specimens were electro polished using a solution of
59% Methanol, 35% n-butanol and 6% perchloric acid (volume
percent), at 22.5 volts, using Timetal 834 cathode, at 255K.
Tensile tests were carried out using a 50kN screw-driven
Instron universal testing machine. LCF tests were carried out
on a completely computer controlled servo hydraulic MTS
testing machine (Model:810) of ±50kN capacity, with Test Star
IIs control. Fully reversed (R= -1) LCF tests were performed in
air under total axial strain control till failure.
The low cycle fatigue behavior has been analyzed in terms of
cyclic stress response and cyclic strain life relation and the
results are compared with similar studies reported in the
literature. Extensive optical microscopy of surface features
before and after fatigue tests has been employed to understand
the deformation mechanisms operating at different stages of the
low cycle fatigue behavior of the material. The cyclic stress
response of the material in the as heat treated condition and in
the different cold rolled conditions was recorded. Since the
total strain amplitude was kept constant in a test, the stress
amplitude varied during the test with number of cycles. The
stress variation with number of cycles at different strain
amplitudes for the as heat treated, 5% cold rolled, 7.5% cold
rolled and 10% cold rolled conditions shown in Fig. 1a, b, c &
d respectively.
Initially, some hardening takes place in all the conditions,
irrespective of the initial condition. The material exhibits
almost constant cyclic stress response during cyclic loading at
the lowest strain amplitude but, shows continuous softening at
higher strain amplitudes. Similar stress response occurs also in
the 5% and 7.5% cold rolled material (Fig. 1b, c). It may be
noted that cyclic stress response of the material is nearly
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 346
1 10 100 1000 10000 100000
400
450
500
550
600
650
700
750
800
850
900
950
1000
1050
1100
(c)
AR-7.5CR (±0.45%)
AR-7.5CR (±0.60%)
AR-7.5CR (±0.75%)
AR-7.5CR (±0.90%)
AR-7.5CRT (±1.05%)
StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa
Cycles to Failure (Nf
)
1 10 100 1000 10000
500
600
700
800
900
1000
(d) AR-10CR (±0.45%)
AR-10CR (±0.60%)
AR-10CR (±0.75%)
AR-10CR (±0.90%)
AR-10CR (±1.05%)
StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa
Cycles to Failure (Nf
)
1 10 100 1000 10000
450
500
550
600
650
700
750
800
850
900
950
1000
1050
(a)
425
AR (±0.45%)
AR (±0.60%)
AR (±0.75%)
AR (±0.90%)
AR (±1.05%)
StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa
Cycles to Failure, (Nf
)
identical for the as heat treated as well as for the differently
cold worked conditions. It is interesting to observe that peak in
stress response occurs at ~10 cycles in all the specimens,
irrespective of their initial condition.
Fig.1: Cyclic stress response curves at different strain
amplitudes at RT for Timetal 834 in (a) Heat treated (b) 5%
cold rolled (c) 7.5% cold rolled (d) 10% cold rolled conditions
The dependence of fatigue life (Nf) on plastic strain amplitude
(∆εp/2) is usually expressed by the Coffin-Manson (C-M)
relation:
∆εp/2 = ε′f (2Nf)c (1)
Where ∆εp/2 is plastic strain amplitude, ε′f is fatigue ductility
coefficient defined by the strain intercept at 2Nf = 1, 2Nf is
number of strain reversals to failure and c is fatigue ductility
exponent, which varies between –0.5 and –0.7 for many metals
and alloys. The C-M plot for the different conditions is shown
in Fig. 2. It is obvious that there is distinct dual slope in the as
heat treated condition where as there is only single slope in the
cold rolled conditions. Thus, it is seen that fatigue life of this
material is significantly improved, at lower strain amplitudes,
due to its cold rolling. This effect of cold rolling in improving
fatigue life, particularly at low strain amplitudes is attributed to
higher resistance of the material against the process of fatigue
crack initiation.
1000 10000 100000
1E-5
1E-4
1E-3
PlasticStrainAmplitude(∆ε∆ε∆ε∆εp
/2)
Reversals to Failure (2Nf
)
AR
AR-2.5CR
AR-5Cr
AR-7.5CR
AR-10CR
Fig. 2: Coffin-Manson plots for Timetal 834 in different
conditions
The electro polished fatigue samples were tested at different
strain amplitudes and the micro structural changes were
recorded after completion of the fatigue tests. The changes in
micro structural features of the as heat treated material,
resulting from fatigue testing, are shown in Fig. 3. It may be
seen that in the as heat treated condition there are widely
spaced planar slip bands of essentially one orientation in some
grains of the specimen tested at the lowest strain amplitude of
±0.45% (Fig. 3b). Thus it is obvious that there is
inhomogeneous deformation. In contrast, the features are
significantly different in the specimens tested at higher strain
amplitudes of ± 0.60% and ±0.90% (Fig. 3c&d). There is
intersection of slip bands, due to activation of additional slip
systems, at higher strain amplitudes. Thus the deformation is
more homogeneous at the higher strain amplitudes. The
1 10 100 1000 10000
400
450
500
550
600
650
700
750
800
850
900
950
1000
(b) AR-5CR (±0.45%)
AR-5CR (±0.60%)
AR-5CR (±0.75%)
AR-5CR (±0.90%)
AR-5CR (±1.05%)
StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa
Cycles to Failure (Nf
)
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 347
development of long surface cracks may clearly be seen in Fig.
3c & d.
Fig. 3: Surface features of Timetal 834 in heat treated
condition (a) without fatigue testing (b) fatigue tested at Δεt/2:
±0.45% (c) fatigue tested at Δεt/2: ±0.60% (d) fatigue tested at
Δεt/2: ±0.90%.
The surface features of the 7.5% cold rolled material, following
fatigue testing are quite different (Fig. 4). The most striking
feature is tortuosity of cracks, particularly in Fig. 4a&b. It leads
to high fatigue life of cold rolled samples, even at low strain
amplitudes.
Fig. 4: Surface features of Timetal 834 in 7.5% cold rolled
condition (a) fatigue tested at Δεt/2: ±0.60% (b) fatigue tested at
Δεt/2: ±0.90%
CONCLUSIONS
The present investigation shows that cold rolling of the alloy
Timetal 834 has significant effect on its low cycle fatigue
behaviour. While there is dual slope in the C-M plot of the as
heat treated material there is only single slope in the cold
worked material. It is seen that even low degree of cold
working (~ 5%) is effective in improving fatigue life of the
alloy at low strain amplitudes and consequent elimination of
bilinearity from the C-M plot.
ACKNOWLEDGEMENTS
Authors are thankful to Project Director, Project Office
(Materials), Kaveri Engine Programme, Defence Research and
Development Organization, Hyderabad, India for providing the
experimental material. Financial support given by University
Grants Commission, India, to one of the authors is also
gratefully acknowledged.
100 µm
(b)
100µµµµm
100 µm
100 µm
(a)
1
(a)
(b)
(c)
(d)
100 µµµµm
100µµµµm
100µµµµm
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 348
REFERENCES
[1] S.Hardt, H.J.Mair, H J Christ, Int. J. Fatigue, 21 (1999), 779
[2] S.Hardt, HJ Mair, H.J. Christ, Proc Low Cycle fatigue and
Elastic-plastic behaviour of materials, Elsevier, Amesterdam
(1998), 9
[3] D. F. Neal, Titanium Sci & Tech: Proc. Fifth Int.conf. on
Titanium Congress- centre, Munich, FRG, September 10-14,
1984, DGM-Oberusal (1985),2419
[4] Nidhi Singh, Gouthama and Vakil Singh, Mater. Sci. Engg.
A, 325, (2002), 324
[5] K.V. Sai Srinadh and Vakil Singh, Trans Indian Inst.
Metals, 57(6), (2004), 431
[6] K.V. Sai Srinadh and Vakil Singh, Metallurgical and
Materials Transactions A, 38 (8), (2007), 1868

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Effect of cold rolling on low cycle fatigue behavior

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 345 EFFECT OF COLD ROLLING ON LOW CYCLE FATIGUE BEHAVIOR OF A NEAR -ALPHA TITANIUM ALLOY M. K. Tripathi1 , N.C.Santhi Srinivas2 , V. Singh3 2, 3 Centre of Advanced Study, Department of Metallurgical Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi-221 005, India 1 Department of Metallurgical and Materials Engineering, National Institute of Technology, Raipur-492010,India 2 Corresponding author : ncssrinivas.met@itbhu.ac.in Abstract Four cold reductions, viz. 2.5, 5, 7.5 and 10 percent are given to a near- α Titanium alloy Timetal 834, following solution treatment in α+β range and stabilization. LCF tests were conducted at room temperature in total strain control mode at Δεt/2 from ± 0.45% to ± 1.05%. Prior to LCF testing, gage section of the specimens was elecrtopolished to reveal the surface modifications, resulting from fatigue testing. It was observed that cold rolling considerably enhanced fatigue life of the alloy. Key words: Titanium alloys; cold rolling; low-cycle fatigue; strain rate; Coffin-Manson relation --------------------------------------------------------------------***------------------------------------------------------------------------ 1. INRODUCTION Timetal 834 is one of the latest near-α commercial titanium alloy designed for high temperature application, up to service temperature of 873 K, as compressor disc and blade of gas turbines of jet engines [1]. It has been established that the best combination of strength, creep resistance and low cycle fatigue life is exhibited in α+β treated condition, with ~12 volume percent primary α in the matrix of transformed β with fine lamellar structure [2,3]. Dual slope in Coffin-Manson (C-M) relationship was observed by Singh et al [4] and was established to be associated with planarity of slip and its role in promoting crack initiation, at low strain amplitudes. Recently, it has been shown by Srinadh and Singh [5,6] that bilinearity in C-M relationship in this alloy, disappeared due to 15% cold rolling. The present work was undertaken to investigate the effect of different degrees of cold rolling on the low cycle fatigue behaviour of the alloy Timetal 834. The material of the present investigation, Titanium alloy Timetal 834, was imported from M/s Timetal U.K and supplied by the project office (Materials), Kaveri Engine Programme, DRDO, Hyderabad, India. The alloy contained 5.8Al, 3.7Zr, 0.5Mo, 0.34Si, 4Sn, 0.7Nb, 0.06C, 0.105O, 0.0025N, 0.004H and balance Ti (wt %). The material was received in the form of rods of 18mm in diameter and in hot rolled, solution treated and stabilized condition. The solution treatment was given in the (α+β) phase field at 1283K for 1 hour and the blanks were cooled in air. The solution treated blanks were aged at 973K for 2 hours and cooled in air to stabilize the microstructure. This heat treatment is designated as AR in the present work. These blanks were subjected to different reductions such as 2.5% (AR-2.5CR), 5% (AR-5CR), 7.5%(AR-7.5CR) and 10%(AR- 10CR) by rolling. LCF tested specimens were electro polished using a solution of 59% Methanol, 35% n-butanol and 6% perchloric acid (volume percent), at 22.5 volts, using Timetal 834 cathode, at 255K. Tensile tests were carried out using a 50kN screw-driven Instron universal testing machine. LCF tests were carried out on a completely computer controlled servo hydraulic MTS testing machine (Model:810) of ±50kN capacity, with Test Star IIs control. Fully reversed (R= -1) LCF tests were performed in air under total axial strain control till failure. The low cycle fatigue behavior has been analyzed in terms of cyclic stress response and cyclic strain life relation and the results are compared with similar studies reported in the literature. Extensive optical microscopy of surface features before and after fatigue tests has been employed to understand the deformation mechanisms operating at different stages of the low cycle fatigue behavior of the material. The cyclic stress response of the material in the as heat treated condition and in the different cold rolled conditions was recorded. Since the total strain amplitude was kept constant in a test, the stress amplitude varied during the test with number of cycles. The stress variation with number of cycles at different strain amplitudes for the as heat treated, 5% cold rolled, 7.5% cold rolled and 10% cold rolled conditions shown in Fig. 1a, b, c & d respectively. Initially, some hardening takes place in all the conditions, irrespective of the initial condition. The material exhibits almost constant cyclic stress response during cyclic loading at the lowest strain amplitude but, shows continuous softening at higher strain amplitudes. Similar stress response occurs also in the 5% and 7.5% cold rolled material (Fig. 1b, c). It may be noted that cyclic stress response of the material is nearly
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 346 1 10 100 1000 10000 100000 400 450 500 550 600 650 700 750 800 850 900 950 1000 1050 1100 (c) AR-7.5CR (±0.45%) AR-7.5CR (±0.60%) AR-7.5CR (±0.75%) AR-7.5CR (±0.90%) AR-7.5CRT (±1.05%) StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa Cycles to Failure (Nf ) 1 10 100 1000 10000 500 600 700 800 900 1000 (d) AR-10CR (±0.45%) AR-10CR (±0.60%) AR-10CR (±0.75%) AR-10CR (±0.90%) AR-10CR (±1.05%) StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa Cycles to Failure (Nf ) 1 10 100 1000 10000 450 500 550 600 650 700 750 800 850 900 950 1000 1050 (a) 425 AR (±0.45%) AR (±0.60%) AR (±0.75%) AR (±0.90%) AR (±1.05%) StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa Cycles to Failure, (Nf ) identical for the as heat treated as well as for the differently cold worked conditions. It is interesting to observe that peak in stress response occurs at ~10 cycles in all the specimens, irrespective of their initial condition. Fig.1: Cyclic stress response curves at different strain amplitudes at RT for Timetal 834 in (a) Heat treated (b) 5% cold rolled (c) 7.5% cold rolled (d) 10% cold rolled conditions The dependence of fatigue life (Nf) on plastic strain amplitude (∆εp/2) is usually expressed by the Coffin-Manson (C-M) relation: ∆εp/2 = ε′f (2Nf)c (1) Where ∆εp/2 is plastic strain amplitude, ε′f is fatigue ductility coefficient defined by the strain intercept at 2Nf = 1, 2Nf is number of strain reversals to failure and c is fatigue ductility exponent, which varies between –0.5 and –0.7 for many metals and alloys. The C-M plot for the different conditions is shown in Fig. 2. It is obvious that there is distinct dual slope in the as heat treated condition where as there is only single slope in the cold rolled conditions. Thus, it is seen that fatigue life of this material is significantly improved, at lower strain amplitudes, due to its cold rolling. This effect of cold rolling in improving fatigue life, particularly at low strain amplitudes is attributed to higher resistance of the material against the process of fatigue crack initiation. 1000 10000 100000 1E-5 1E-4 1E-3 PlasticStrainAmplitude(∆ε∆ε∆ε∆εp /2) Reversals to Failure (2Nf ) AR AR-2.5CR AR-5Cr AR-7.5CR AR-10CR Fig. 2: Coffin-Manson plots for Timetal 834 in different conditions The electro polished fatigue samples were tested at different strain amplitudes and the micro structural changes were recorded after completion of the fatigue tests. The changes in micro structural features of the as heat treated material, resulting from fatigue testing, are shown in Fig. 3. It may be seen that in the as heat treated condition there are widely spaced planar slip bands of essentially one orientation in some grains of the specimen tested at the lowest strain amplitude of ±0.45% (Fig. 3b). Thus it is obvious that there is inhomogeneous deformation. In contrast, the features are significantly different in the specimens tested at higher strain amplitudes of ± 0.60% and ±0.90% (Fig. 3c&d). There is intersection of slip bands, due to activation of additional slip systems, at higher strain amplitudes. Thus the deformation is more homogeneous at the higher strain amplitudes. The 1 10 100 1000 10000 400 450 500 550 600 650 700 750 800 850 900 950 1000 (b) AR-5CR (±0.45%) AR-5CR (±0.60%) AR-5CR (±0.75%) AR-5CR (±0.90%) AR-5CR (±1.05%) StressAmplitude(∆σ∆σ∆σ∆σ/2),MPa Cycles to Failure (Nf )
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 347 development of long surface cracks may clearly be seen in Fig. 3c & d. Fig. 3: Surface features of Timetal 834 in heat treated condition (a) without fatigue testing (b) fatigue tested at Δεt/2: ±0.45% (c) fatigue tested at Δεt/2: ±0.60% (d) fatigue tested at Δεt/2: ±0.90%. The surface features of the 7.5% cold rolled material, following fatigue testing are quite different (Fig. 4). The most striking feature is tortuosity of cracks, particularly in Fig. 4a&b. It leads to high fatigue life of cold rolled samples, even at low strain amplitudes. Fig. 4: Surface features of Timetal 834 in 7.5% cold rolled condition (a) fatigue tested at Δεt/2: ±0.60% (b) fatigue tested at Δεt/2: ±0.90% CONCLUSIONS The present investigation shows that cold rolling of the alloy Timetal 834 has significant effect on its low cycle fatigue behaviour. While there is dual slope in the C-M plot of the as heat treated material there is only single slope in the cold worked material. It is seen that even low degree of cold working (~ 5%) is effective in improving fatigue life of the alloy at low strain amplitudes and consequent elimination of bilinearity from the C-M plot. ACKNOWLEDGEMENTS Authors are thankful to Project Director, Project Office (Materials), Kaveri Engine Programme, Defence Research and Development Organization, Hyderabad, India for providing the experimental material. Financial support given by University Grants Commission, India, to one of the authors is also gratefully acknowledged. 100 µm (b) 100µµµµm 100 µm 100 µm (a) 1 (a) (b) (c) (d) 100 µµµµm 100µµµµm 100µµµµm
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 08 | Aug-2013, Available @ http://www.ijret.org 348 REFERENCES [1] S.Hardt, H.J.Mair, H J Christ, Int. J. Fatigue, 21 (1999), 779 [2] S.Hardt, HJ Mair, H.J. Christ, Proc Low Cycle fatigue and Elastic-plastic behaviour of materials, Elsevier, Amesterdam (1998), 9 [3] D. F. Neal, Titanium Sci & Tech: Proc. Fifth Int.conf. on Titanium Congress- centre, Munich, FRG, September 10-14, 1984, DGM-Oberusal (1985),2419 [4] Nidhi Singh, Gouthama and Vakil Singh, Mater. Sci. Engg. A, 325, (2002), 324 [5] K.V. Sai Srinadh and Vakil Singh, Trans Indian Inst. Metals, 57(6), (2004), 431 [6] K.V. Sai Srinadh and Vakil Singh, Metallurgical and Materials Transactions A, 38 (8), (2007), 1868