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TECHNICAL ARTICLE
Comprehensive Microstructural Characterization of c0
in a Nimonic Alloy Using Ultrasonic Velocity Measurements
G. V. S. Murthy • S. K. Das • B. Ravikumar
Received: 21 February 2014 / Revised: 1 May 2014 / Accepted: 27 May 2014 / Published online: 9 July 2014
� Springer Science+Business Media New York and ASM International 2014
Abstract Microstructure of a crystalline material is a key
factor in its technological applications as it determines a
wide variety of properties including mechanical strength,
toughness, corrosion resistance, and hardness. In Nimonic
alloys, precipitation takes place during processing and on
prolonged exposure to service at elevated temperatures.
Consequently, knowledge about the precipitation phases
and their influence on the various properties is of funda-
mental interest not only for its intrinsic study but also for
its technological significance. The purpose of the present
study is to explore the possibility of using ultrasonic
velocity measurement in a Nimonic alloy and characterize
the precipitation behavior on aging. It is concluded from
this study that ultrasonic velocity is more sensitive than the
conventional microstructural sensitive parameter like
hardness due to its dependence on the chemical composi-
tional variations.
Keywords Microstructure � Nickel alloys � Precipitation
phenomena
Introduction
The microstructure of a polycrystalline alloy material is a
key factor in its technological applications, as it determines
a wide variety of properties viz. strength, toughness, cor-
rosion resistance, and hardness, etc. Microstructural deg-
radation/formation of deleterious precipitates takes place
during processing and/on prolonged exposure to service at
elevated temperatures and their detrimental influence on
the various properties is well documented. Consequently,
knowledge about the precipitation behavior is of utmost
importance not only for its intrinsic interest but also for its
technological significance. Although microscopic exami-
nation is the best method for such measurement, it is time
consuming and destructive in nature. Therefore, develop-
ment of a suitable non-destructive tool which is fast and
efficient is of considerable importance. For several years,
Ultrasonic testing is being looked upon as an alternative
tool, which was till now better known for common appli-
cations like thickness gaging and flaw detection. There are
a number of non-destructive testing (NDT) techniques,
such as magnetic Barkhausen emission (MBE), x-ray dif-
fraction (XRD), and eddy current technique (ECT), but
these are all surface techniques only. Only ultrasonic
testing can be used for characterization of both surface, as
well as the full thickness of the materials, irrespective of
their electrical and magnetic properties.
The nickel-base superalloy Nimonic 263 was developed
and introduced for applications such as in the design of
combustion chamber, casing lining, exhaust ducting,
bearing housing, and such other components in aerospace
industry by Rolls Royce in 1960. These components are
fabricated from the plate/sheet of this alloy. Nimonic-263
was primarily intended to have properties of similar to the
weld ductility and fabrication characteristics of Nimonic 75
combined with the creep-rupture strength of Nimonic 80A
[1, 2]. Important to note here is that these alloys can be
age-hardened by the controlled precipitation of intragran-
ular sub-microscopic c0 phase, to enhance creep resistance
by acting as a barrier to dislocation movement. However,
the presence of carbon can lead to the formation of a series
of undesirable carbide phases: (a) Intragranularly occurring
primary carbides, nitrides, or carbonitrides of the general
G. V. S. Murthy (&) � S. K. Das � B. Ravikumar
Materials Science and Technology Division, National
Metallurgical Laboratory (CSIR), Jamshedpur 831 007, India
e-mail: [email protected]
123
Metallogr. Microstruct. Anal. (2014) 3:328–335
DOI 10.1007/s13632-014-0143-7
form M(C, N), where M is usually titanium, and (b) chro-
mium-rich grain boundary carbides like M7C3 and M23C6
[3, 4]. The standard heat treatment practice for Nimonic
263 is solution annealing at 1,423 K for 2 h followed by
aging at 1,273 K for 8 h [3]. In the optimum heat-treated
condition, the microstructure of the alloy shows a fine
discontinuous precipitation of carbides at the grain
boundaries and precipitation of c0 intermetallic in the
matrix [2]. The shape and size of c0 precipitates cannot be
resolved in an optical microscope. However, electron
microscopic studies show that the mean particle diameter is
about 18–20 nm [5]. The c0 phase that forms is metastable
in nature because of the high titanium to aluminum ratio,
the stable precipitate being g-Ni3Ti. On prolonged expo-
sure at temperatures in excess of 1,073 K, the c0 phase
gradually coarsens and acicular g begins to form [5]. The
primary objective of the solution treatment is to dissolve
the precipitated phases, mainly c0 and carbides, prior to
their controlled precipitation during subsequent aging
process. Aging treatments are primarily concerned with the
precipitation of the hardening phase, normally c0 in a form
to obtain the required mechanical properties. The changes
in the precipitation behavior are expected to affect the
elastic moduli (like change in the Young modulus due to
change in the local chemical compositions) of the material.
Change in Young modulus in turn affects the Ultrasonic
velocity through the empirical relationships [6]. Ultrasonic
velocity techniques have been attempted for characteriza-
tion of solutionizing treatment and precipitation behavior
in various alloy systems, such as aluminum alloys [7],
ferritic steel [8], maraging steel [9], nickel-base alloys [10–
13], and titanium alloys [14]. The changes in ultrasonic
velocity upon precipitation of intermetallic phases have
been attributed primarily to the change in the Young’s
modulus of the matrix of the alloy [11]. The objective of
the present study is to explore the possibility of using
ultrasonic measurements like longitudinal and shear wave
velocity to study the precipitation behavior in the nickel-
base superalloy Nimonic 263 for such characterization and
corroborate the same with, scanning electron microscopy
studies and hardness measurements.
Experimental
Table 1 shows the elemental composition of the alloy used in
the present study. Nimonic 263 specimens of dimensions
20 mm 9 20 mm 9 10 mm were solutionized at 1423 K for
1 h followed by water quenching. Aging of solution-treated
specimens was carried out for 1, 2, 4, 6, and 8 h at 923 K and 1,
2, 4, 6, 25, 50, and 75 h at 1,073 K followed by water
quenching.
A test coupon of the order of 5 mm in length, 5 mm in
width, and uniform thickness in the range of 2–5 mm was cut
from one corner of each of the specimens. These were pol-
ished in the conventional way as per the standard metallo-
graphic procedures and etched to reveal microstructure with
freshly prepared glycergia consisting of concentrated hydro-
chloric acid, concentrated nitric acid, and glycerol in the ratio
45:15:40. The microstructures were observed and recorded
using the scanning electron microscope along with an energy-
dispersive spectroscopy system.
Vicker’s hardness measurements were carried out using a
load of 30 kg. An average of five readings is reported here. A
maximum scatter of ±5 VHN was obtained in hardness
measurements in any specimen. Results of microstructure
analysis of precipitation behavior were used to corroborate the
ultrasonic velocity and hardness measurements.
The experimental set up used for the ultrasonic measure-
ments is shown in Fig. 1. A 35 MHz broadband pulser-
receiver and a 500 MHz digital oscilloscope were used for
carrying out the measurements. Ultrasonic velocities were
measured using 15 MHz longitudinal wave and 5 MHz shear
wave transducers. For post processing of the data, the RF
signals were digitized and the gated back wall echoes from the
oscilloscope were stored. A cross-correlation technique has
been used for precise ultrasonic velocity measurements [13].
The accuracy obtained in the time-of-flight measurement is
better than ±1 ns. This led to the maximum scatter of ±2.5
and ±1.5 m/s for ultrasonic longitudinal and shear wave
Fig. 1 Experimental set up used for ultrasonic velocity
measurements
Table 1 Chemical composition
of Nimonic 263Element C Co Cr Mo Ti Al Cu O N Ni
Wt% 0.06 19.6 20.1 6.0 2.0 0.4 0.001 0.0013 0.006 Bal.
Metallogr. Microstruct. Anal. (2014) 3:328–335 329
123
velocities, respectively. The density of the material was
assumed to be constant in the present study.
Results and Discussion
Figure 2 shows the microstructure of the solution-annealed
specimen at 1,423 K exhibiting a homogenous micro-
structure without any presence of precipitates in solution-
treated state. This was further confirmed by a very low
hardness value of 182Hv observed by hardness
measurement.
Effect of Aging at 923 K on Microstructural Changes
Aging for 1 h at 923 K did not result in the precipitation of
c0 intermetallic as kinetics of the precipitation were very
slow at this temperature. This was confirmed by the for-
mation of very fine precipitation of c0 intermetallic phase in
the specimen after 4 h of aging treatment. Figure 3(a) and
(b) shows the SEM micrographs corresponding to the
specimens aged at 923 K for 1 h, 923 K for 4 h, respec-
tively, to highlight occurrence of precipitates after 4 h
annealing time.
The hardness measurements indicated a continuous
increase of hardness up to the maximum duration of aging
(8 h) used in the present investigation.
Effect of Aging at 1,073 K on Microstructural Changes
Aging treatment at 1,073 K showed faster kinetics of c0
phase precipitation behavior compared to aging treatment
at 923 K. The SEM micrograph of the specimen aged for
6 h clearly shows extensive precipitation of c0 interme-
tallic phase, Fig. 4. In addition to the c0 phase precipita-
tion and its coarsening, formation of grain boundary
carbides was also observed in specimens aged for longer
durations. The results obtained are in line with the time
temperature transformation (TTT) diagram reported in
literature [15] for the precipitation of c0 intermetallic
phase in this alloy.
Sample Aged for 25 h
For the sample aged at 1,073 K for 25 h, the carbide pre-
cipitation has started and the microstructures observed
showed the extensive nucleation without much growth of
these precipitates. Figure 5 below shows a few of these
Fig. 2 SEM micrographs of Ni-263 specimen solution annealed at
1,423 K for 1 h
Fig. 3 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at (a) 923 K for 1 h exhibiting no
precipitation; (b) 923 K for 4 h exhibiting very fine precipitation
330 Metallogr. Microstruct. Anal. (2014) 3:328–335
123
representative microstructures from which it is clearly seen
the precipitates are uniformly distributed, but at the same
time are of very small dimensions.
Sample Aged at 50 h
The sample aged at 1,073 K for 50 h shows extensive
precipitation. The precipitation seems to be complete and
uniformly distributed in the matrix. This is very well in
agreement with the reported standard heat treatment for
Nimonic 263; which is solution annealing at 1,423 K for
2 h followed by aging at 1,273 K for 8 h [3]. In the opti-
mum heat-treated condition, the microstructure of the alloy
shows a fine discontinuous precipitation of carbides at the
grain boundaries and precipitation of c0 intermetallic in the
matrix [2]. The shape and size of c0 precipitates cannot be
resolved in an optical microscope. However, electron
microscopic studies show that the mean particle diameter is
about 18–20 nm [5]. The morphology and the composi-
tions of the different precipitates are different as can be
seen in the following microstructures. In what follows in
Fig. 6, we find that there are at least two distinct types of
precipitates present. They are (1) Ti-Mo rich precipitates
and (2) Carbides of Ti, Mo, and Cr. These can be either
grain boundary or otherwise.
Fig. 4 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 6 h showing
precipitation of c0
Fig. 5 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 25 h
Fig. 6 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 50 h, showing the
highlighted Ti–Mo rich precipitates which are also elongated and
away from the grain boundary. The EDAX compositional analysis of
this precipitate is Ti: 46.90; Cr: 7.07; Co: 4.64; Ni: 11.88; and Mo:
29.51
Fig. 7 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 50 h, showing
precipitate coarsening
Metallogr. Microstruct. Anal. (2014) 3:328–335 331
123
SEM micrographs of Ni-263 specimens solution
annealed at 1,423 K for 1 h followed by aging at 1,073 K
for 50 h also showed the carbide precipitation which are
along grain boundary and within the grain, as shown in
Fig. 7. Besides the elongated grains seen as above, some
finely dispersed precipitates were also observed (see
Fig. 7); these were assumed to be complex carbides of Ti,
Cr, Co Mo, and Ni.
In addition to all the above precipitates, there were
globular precipitates at some places as shown in Fig. 8
below. From the compositional analysis, it was inferred
that these are intermetallic precipitates containing Ni, Ti,
Mo, Cr, and Co.
Sample Aged at 75 h
The sample aged at 1,073 K for 75 h shows that the c0 was
transformed into the acicular g phase. This was evident
from the sharp decrease in hardness upon aging at 1,073 K
for 75 h and was attributed to the coarsening of fine
coherent c0 phase and its transformation to acicular g phase
as seen in Fig. 9. Even in this case also we have observed
at least two distinct types of precipitates. They are (1)
intermetallic of Ni, Cr, and Co-containing Ti and Al; and
(2) carbides of Ni and Co, Cr.
Upon aging at 1,073 K, hardness increased rapidly up to
6 h of time (277 HV), followed by a subtle increase up to
50 h (297 HV). Further increase in time to 75 h, a small
decrease in hardness (277 HV) was noted. The increase in
the hardness at both the temperatures is attributed to the
precipitation of coherent c0 intermetallic phase. The shorter
incubation period and faster increase in hardness during the
initial period of aging (up to 6 h) at 1,073 K compared to
those at 923 K was attributed to the faster kinetics of
precipitation at higher temperature (1,073 K). The decrease
in hardness upon aging at 1,073 K for 75 h was attributed
to the coarsening of fine coherent c0 phase and its trans-
formation to acicular g phase
Ultrasonic Velocity Characterization
Elastic waves propagating through an unbounded medium
can be expressed as plane waves [16]:
A ¼ A0 exp½iðkx� xtÞ� expð�axÞ; ð1Þ
where A is the amplitude, A0 is an initial amplitude at an
initial amplitude at x = 0 and t = 0, a is the attenuation
coefficient, and k is the propagation constant
k ¼ 2p=k ¼ 2pf=V ð2Þ
x is the angular frequency
x ¼ 2pf ð3Þ
k is the wavelength, f is the frequency, and V is the
velocity.
The velocity of sound V is determined by the moduli and
density q of the material supporting the sound wave by an
equation of the form
V ¼ ðM=qÞ1=2; ð4Þ
where M is a particular combination of the elastic moduli of
the material itself. The particular combination depends upon
the mode of motion being propagated. The mode in turn
depends upon the state of the material-gas, liquid, or solid-,
and in solids depends further upon the boundary conditions
and the stress direction relative to the direction of propagation.
Thus, there will be one longitudinal wave mode with velocity
Fig. 8 SEM micrographs of Ni-263 specimens, solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 50 h, showing
globular precipitates
Fig. 9 SEM micrographs of Ni-263 specimens solution annealed at
1,423 K for 1 h followed by aging at 1,073 K for 75 h, showing
carbide after the coarsening of c0
332 Metallogr. Microstruct. Anal. (2014) 3:328–335
123
Vl, where the direction of stress and strain is parallel to the
direction of propagation and two shear wave modes where the
shearing stress is perpendicular to the direction of propagation
and where shear in one mode is at 90� to shear in the other. For
isotropic materials, these two shear modes are indistinguish-
able (degenerate) and have the same velocity Vs. Shear
velocity is slower than longitudinal velocity, generally 50–
60% of the longitudinal. For isotropic materials, the Young’s
modulus (E), the shear modulus (G), and Poisson’s ratio (l)
are related to the longitudinal and shear velocities and to the
density by the equations:
l ¼ 1� Vs=Vlð Þ2h i
= 2� 2 Vs=Vlð Þ2h i
ð5Þ
E ¼ Vlð Þ2ð1þ lÞð1� 2lÞ=ð1� lÞ ð6Þ
G ¼ Vsð Þ2 ð7Þ
Thus to different degrees, elastic moduli, material micro-
structure, morphological conditions, and associated
mechanical properties can be characterized by ultrasonic
velocities. Table 2 lists the measured velocities, calculated
elastic moduli, and the hardness for each of the samples in
this study. By empirical considerations, it can be shown
that the longitudinal (VL) and shear (VT) wave velocity can
be represented respectively as [17]
vL ¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiEð1� mÞ
q 1þ mð Þ 1� 2mð Þ
s
vT ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
E
2q 1þ mð Þ
s;
where E, and m are the Young’s modulus, and Poisson’s
ratio. The above relationship clearly indicates the
correlation ship between ultrasonic velocity and the elastic
moduli.
Figures 10 and 11 show the changes in the ultrasonic
velocity with aging temperature and time. Ultrasonic
velocities were found to be the minimum (VL = 5,960 m/s
and VS = 3,155 m/s) in the solution-annealed condition
and increased with aging at both the temperatures. Upon
aging at 923 K, velocities were found to increase contin-
uously up to the maximum duration of aging (8 h;
VL = 5,995 m/s and VS = 3,192 m/s) used in the present
investigation, whereas it exhibited saturation beyond 4 h of
aging at 1,073 K. The ultrasonic shear wave velocity
(1.17% change) was found to be more sensitive to the aging
treatment than the longitudinal wave velocity (0.59%
change). This is in line with those reported for precipitation
Table 2 Ultrasonic velocities, hardness, and elastic properties of Nimonic 263 in different heat treatment conditions
Heat treatment Sample
designation
Hardness
(Hv)
Longitudinal wave
velocity (m/s)
Shear wave
velocity (m/s)
Shear Modulus
(GPa)
Young’s Modulus
(GPa)
Poisson’s ratio
1,423 K for 1 h (SA*) S 182 5,960 3,155 83.22 217.25 0.3053
SA ? 923 K/1 h A1 183 5,981 3,170 84.01 219.21 0.3046
SA ? 923 K/2 h A2 193 5,980 3,175 84.27 219.74 0.3037
SA ? 923 K/4 h A3 209 5,992 3,187 84.88 221.17 0.3028
SA ? 923 K/6 h A4 215 5,993 3,185 84.81 221.04 0.3032
SA ? 923 K/8 h A5 236 5,995 3,192 85.18 221.83 0.3022
SA ? 1,073 K/1 h B1 224 5,984 3,181 84.75 220.74 0.3025
SA ? 1,073 K/2 h B2 241 5,982 3,179 84.38 219.99 0.3036
SA ? 1,073 K/4 h B3 266 5,987 3,183 84.70 220.74 0.3030
SA ? 1,073 K/6 h B4 277 5,988 3,180 84.54 220.41 0.3036
SA ? 1,073 K/25 h B5 285 5,987 3,182.6 84.68 220.68 0.3031
SA ? 1,073 K/50 h B6 297 5,986 3,182 84.65 220.60 0.3031
SA ? 1,073 K/75 h B7 277 5,985 3,181.1 84.60 220.48 0.3031
Fig. 10 Variation in ultrasonic longitudinal wave velocity and
hardness with aging at 923 and 1,073 K
Metallogr. Microstruct. Anal. (2014) 3:328–335 333
123
of intermetallic phases in other nickel-base superalloys [9–
12, 15] and maraging steel [8], where ultrasonic shear wave
velocity was found to change more compared to longitu-
dinal wave velocity, upon precipitation of intermetallic
phases. The maximum ultrasonic shear wave velocity in the
specimen aged at 923 K was found to be 3,192 m/s (upon
8 h of aging), which is higher than that observed for the
specimens aged at 1,073 K (3182 m/s). This was attributed
to the lesser amount of precipitation at 1,073 K due to
higher solubility of precipitate forming elements at higher
temperature. Further, even though the hardness started
increasing beyond 1 h of aging at 923 K, ultrasonic
velocities increased substantially upon aging for 1 h of
aging itself. Similarly, the ultrasonic velocities seem to
have attained saturation after aging for 4 h at 1,073 K,
whereas hardness exhibited continuous increasing trend up
to 50 h of aging. The coarsening of c0 phase and its
transformation to acicular g phase decreased the hardness
upon aging for 75 h at 1,073 K as discussed earlier; how-
ever, these phase transformation changes did not influence
the ultrasonic velocities.
From these results, it is evident that the ultrasonic
velocity is more sensitive to the initial stages of the
precipitation process, while hardness measurements do
not record any change in the hardness value. This is
attributed to the fact that the ultrasonic velocities are
sensitive to changes in the elastic moduli of the material,
which is affected by compositional variations of the bulk
material. On the other hand, hardness is a bulk property
that is influenced by the precipitation of coherent phases
which hinders the movement of dislocations. There are
several theories of precipitation hardening. According to
the coherent lattice theory [18], the alloy remains in a
supersaturated condition after solution treatment and
quenching, with the solute atoms distributed at random in
the lattice structure. The process of precipitation of
intermetallic phases upon aging the solution-annealed
alloy can be divided into two stages: (I) incubation per-
iod, when the excess solute atoms tend to migrate to
certain crystallographic planes, forming clusters or
embryos of the precipitate and (II) precipitation, when
these clusters form an intermediate crystal structure or
transitional lattice, maintaining registry (coherency) with
the lattice structure of the matrix. This phase will have
lattice parameters different from those of the solvent, and
as a result of the atom matching (coherency) there will be
considerable distortion of the matrix. This distortion
(strain free) extends over a distance more than the size of
a discrete (precipitate) particle. It is this distortion that
interferes with the movement of dislocations and accounts
for the increase in hardness and strength during aging.
The first stage of the precipitation (i.e., incubation) does
not influence the hardness; however, it drastically influ-
ences the elastic moduli of the material and that in turn
affects the ultrasonic velocities. The depletion of the
precipitate forming elements from the matrix leads to
increase in the modulus of the matrix due to the change in
the chemical composition. Hence, ultrasonic velocity is
sensitive to onset of compositional variations and hence
responds to early stages of microstructure changes in
these alloys. Further, as the coarsening of c0 phase and its
conversion to acicular g phase do not change the matrix
composition, therefore, they do not influence the ultra-
sonic velocities.
In Figs. 12 and 13, the variation of ultrasonic velocity
(both longitudinal and shear) with hardness is shown. It is
very interesting to note that the ultrasonic velocity response
is very fast and the slope is quite high indicating that from
Fig. 11 Variation in ultrasonic shear wave velocity and hardness
with aging at 923 and 1,073 K Fig. 12 Variation of ultrasonic velocity (longitudinal) with hardness
334 Metallogr. Microstruct. Anal. (2014) 3:328–335
123
the above considerations, ultrasonic velocity can be a more
reliable method for monitoring the precipitation behavior
with the aging time. Similar trends were observed in the
other temperature studied herein.
Conclusion
In the present study, the precipitation process in a Ni-based
super alloy Nimonic 263 has been studied using ultrasonic
velocity and microscopy. It has been observed that Ni 263
undergoes significant microstructural changes on aging at
1,073 K. For aging time up to 50 h, the formation of c0
phase is observed leading to the strengthening of the alloy.
This is shown by the increase in the hardness and ultrasonic
velocity. From the present study, it is also seen that that
ultrasonic measurements are more sensitive to the precipi-
tation process which is attributed to the compositional
changes and hence subtle changes in the elastic moduli. In
contrast, the influence of precipitation on hardness can be
felt/noted only after the precipitates attain a minimum size
to influence the movement of dislocations. These observa-
tions are corroborated with the electron microscopy studies.
References
1. W. Betteridge, J. Heslop, The Nimonic Alloys (Edward Arnold,
London, 1974)
2. C.T. Sims, W.C. Hagel, The Super Alloys (Wiley, New York,
1972)
3. V. Ratna, D.S. Sarma, Influence of thermal fatigue on the
microstructure of a Ni-base alloy. Scr. Metall. Mater 29, 467–472
(1993)
4. P.N. Singh, V. Singh, Influence of ageing treatment on work
hardening behavior of a Ni-base superalloy. Scr. Mater. 34,
1861–1865 (1996)
5. J.C. Zhao, V. Ravikumar, A.M. Beltran, Phase precipitation and
phase stability in Nimonic-263. Metall. Mater. Trans. 32A,
1271–1282 (2001)
6. H.M. Ledbetter, in Materials at Low Temperatures, ed. by R.P.
Reed and A.F. Clark (ASM, 1983) pp. 1–45
7. M. Rosen, E. Horowitz, S. Fick, R.C. Reno, R. Mehrabian, An
investigation of the precipitation hardening process in aluminium
alloy 2219 by means of sound velocity and ultrasonic attenuation.
Mater. Sci. Eng. A 53, 163–177 (1982)
8. K. Anish, B.K. Choudhary, T. Jayakumar, K. Bhanu Sankara
Rao, R. Baldev, Characterization of long term ageing behaviour
of 9Cr–1Mo ferritic steel using ultrasonic velocity. Mater. Sci.
Technol. 19, 637–641 (2003)
9. K.V. Rajkumar, K. Anish, T. Jayakumar, R. Baldev, K.K. Ray,
Characterizing of ageing behavior in M250 grade maraging steel
using ultrasonic measurements. Metall. Mater. Trans. A 38A,
236–243 (2007)
10. A. Kumar, V. Shankar, K. Bhanu Sankara Rao, T. Jayakumar, R.
Baldev, Correlation of microstructure and mechanical properties
with ultrasonic velocity in the Ni-based super alloy Inconel 625.
Philos. Mag. A 82, 2529–2545 (2002)
11. T. Jayakumar, R. Baldev, H. Willems, W. Arnold, Influence of
Microstructure on Ultrasonic Velocity in Nimonic Alloy PE-16
Review of Progress in Quantitative NDE, vol. 10b (Plenum Press,
New York, 1991), pp. 1693–1699
12. A. Kumar, T. Jayakumar, R. Baldev, Influence of precipitation on
Young’s modulus in nickel and zirconium base alloys. Philos.
Mag. Lett. 86(09), 579–587 (2006)
13. A. Kumar, K.V. Rajkumar, T. Jayakumar, R. Baldev, B. Mishra,
Ultrasonic measurements for in-service assessment of wrought
Inconel 625 cracker tubes of heavy water plants. J. Nucl. Mater.
350, 284–292 (2006)
14. A. Kumar, T. Jayakumar, R. Baldev, K.K. Ray, Characterization
of solutionizing behaviour in VT14 titanium alloy using ultra-
sonic velocity and attenuation measurements. Mater. Sci. Eng. A
362, 58–64 (2003)
15. J.C. Zhao, M.F. Henry, The thermodynamic prediction of phase
stability in multi component superalloy. JOM 54, 37–40 (2002)
16. Non-destructive Testing Handbook: Ultrasonic Testing, 2 nd ed.,
vol. 7, ed. by P. McIntrie (American Society for Testing and
Materials (ASTM), Columbus, 1991), pp.-178–180
17. S.H. Avener, Introduction to Physical Metallurgy, vol. 192, 2nd
edn. (McGraw Hill, Tokyo, 1974)
18. A. Kumar, T. Jayakumar, R. Baldev, K.K. Ray, Correlation
between ultrasonic shear wave velocity and Poisson’s ratio for
isotropic materials. Acta Mater. 51, 2417–2426 (2003)
Fig. 13 Variation of ultrasonic velocity (shear) with hardness
Metallogr. Microstruct. Anal. (2014) 3:328–335 335
123