Scripta
METALLURGICA
Vol. 7, pp. 81-88, 1973 P r i n t e d in the U n i t e d States
INTERNAL
FRICTION
MEASUREMENTS
IRON-NICKEL-CARBON J.G.
van
der
University
Laan,
P.F.
(Received
Press,
IN
ALLOYS
Willemse
of T e c h n o l o g y
Pergamon
and
J.A.
Klostermann
Twente,
Enschede,
November
8, 1972)
the
Netherlands
Introduction In b . c . c . i r o n found
by
induced
with
internal
low
friction
diffusion
of
carbon
content,
measurements
interstitial
as
carbon
a "Snoek-peak" a result
atoms
in
of
the
can
be
stressoctahedral
sites(1). Scheil addition content At
et al.(2)
of n i c k e l of
ca.
has
been
Similar the
of
alloys
(carbon been
after
been
with
i. The
interactions
the
ordering
The between
also
and
of
the
at a n i c k e l
completely(3). internal and
the
friction
Forster(4).
Snoek-peak
and
for m a r t e n s i t i c
iron-
wt.pct).
by K o s t e r
et
al.(5)
in
low-
deformation.
nickel the
another
that
and
Scheil(2)
fading
0.5-1.0
of
peak;
described
content
structure
in a t e t r a g o n a l alpha
the are
observed
disappeared
by
measured
increasing
martensitic 2.
case
i.e.
plastic
this
has
however,
this
suggested(2,3)
height
al.(3)
lowers
200°C, in
a 200°C-peak,
has
steels
It has
ca.
iron
et
the p e a k
observations,
A 200°C-peak carbon
of
Jackson
the
measured
occurence
carbon
to
15 w t . p c t
a temperature
peak
and
that
the
content
carbon
decrease
may
atoms
be
with
due
of
the
Snoek-peak
to:
imperfections
in
the
or
stabilisation deformation
of
of
the
the
carbon
lattice
atoms
during
resulting the
gamma-
transformation. 200°-peak the
carbon
in the m a r t e n s i t i c
is s u g g e s t e d atoms
and
the
structure(2)
to a r i s e
from
dislocations or
deformation(5).
81
are
the
interaction
which
introduced
by
are
present
plastic
Inc
82
INTERNAL
The atoms
above
could
be
by C o t t r e l l ( 6 ) Plastic locking
FRICTION
mentioned
deformation
of
of the
Snoek-peak.
free
due
and
to d i f f u s i o n the
density
latter of FeNiC
Experimental
are
of
of the effect
give
composition in table
carbon
prep.
of
the F e N i C
alloys
used
the
in a r e t u r n
to study
this
the S n o e k - p e a k the d i s l o c a t i o n s . on the d i s l o c a t i o n
composition
of
the used
0.05
balance
2
25.0
0.05
balance
3
28.9
0.05
balance
4
3].5
0.05
balance
pct) The
subsequently damping
were
and
%Fe
produced
by
nlckel(99.999
as cast drawn
samples
into
wire
measurements
described
investigation
samples.
%C
specimens
in this
I
]6.1
The
of
toward
%Ni
pendulum
result
information
I
carbon.
an un-
I.
The
iron
time
then
procedure
The
The
proposed
increasing
investigation
some
carbon
martensite(8).
given
iron(99.998
cause
clouds should
with
interstitial could
Snoeklocking
would
This
decrease
TABLE
and
alloys
the present
the p o s s i b l e
and
7, No.
respectively.
the C o t t r e l l carbon.
Vol.
dislocations
and/or
Seeger(7)
of FeNiC from
interstitial
It is the object phenomenon
and
ALLOYS
between
of C o t t r e l l -
Schoeck
of d i s l o c a t i o n s
amount
Also
interaction
the result and
IN Fe-Ni-C
were
The
arc m e l t i n g
with
addition
homogenised
of 0.61
were
elswere(10).
argon pct)
in wt.pct.
mm
performed damping
for
diameter
of high
purity
of e u t e c t o i d a l 170 hr and
in a K ~ - t y p e ( 9 ) was m e a s u r e d
at
165 mm
ll50°C length.
torsion
at a f r e q u e n c y
I
Vol.
7, No.
]
of was
I
INTERNAL
Hz. The m a x i m u m -6 I0
elastic
FRICTION
strain
IN Fe-Ni-C ALLOYS
at the surface
83
of the specimen
Results The results with
16.1;
25;
900°C during
of the damping m e a s u r e m e n t s
28.9 and 31.5 wt.pct
5 min.
in purified
liquid N 2 are shown in fig. quenching
Ni resp.
Argon
1 (mean
of the F e N i C - a l l o y s after h e a t i n g
atmosphere
at
and q u e n c h i n g
time of the m e a s u r e m e n t s
in
after
I hr).
JD z 140~-
• v o •
12o~
FIG.
F e 16,11~Q 0 5 C Fe2~N,ooroC Fe29N~X~SC F e 31.,5~Q05C
Internal
i
8o~ 6O 40
1
friction
v.s.
temperature
of various
iron-nickel
carbon alloys
l hr after q u e n c h i n g
from
the g a m m a p h a s e ( 9 0 0 ° C )
in
liquid N2(-196°C)
1
2°tl '
I
,
30
2O
I
,
40
t
J
50
I
60
TEMPERATURE.°C
This
figure
indicates
that
do not
exhibit
(2,3).
The alloys with
damping
the alloys
a Snoek-peak,
which
with
]6.1
and 25 wt.pct
agrees with previous
29 and 31.5 wt.pct
Ni, however,
Ni
investigations show a small
peak at about 40°C
It is also evident in internal
The decreases
friction
Snoek-peak with
from figuTe
level b e t w e e n
observed
] that there
is a large d i f f e r e n c e
the alloys with
16 and
25 wt.pct
in the 29 and 31.5 pct Ni alloys
time as shown in figure
2.
Ni.
84
INTERNAL
FRICTION
7O
Z
IN F e - N i - C
ALLOYS
Vol.
7, No.
• Fe2gNiO.05C o FO31.SN~0.O5C
.=. Z
FIG.
4o
The
path
2
of the
internal
3C 2C 10
height
v.s.
time
After
5'o
w i r e was
the
disappearance
loaded
resulting
"in situ"
(finish
time,
as
reappeared
of the
with
in a d e f o r m a t i o n
Snoek-peak
0,05C
Fe31.5Ni TIME,MINUTES
the
peak
Fe29Ni
2'0
some
friction measured
a tensile
of about in both
illustrated
Snoek-peak
0.03
alloys,
in figure
3 for
of
29 w t . p c t
Internal
t = 0)
the
30 k g / m m 2,
but d i s a p p e a r e d the
is
quenching
alloys,
to this
FIG.
70
after
quenching
Due
8O
=
and
0,05C
in these
stress pct.
at 37°C
for
deformation again
3
friction
temperature
after
Ni alloy.
v.s.
for Fe29Ni
after a tensile stress 2 at d i f f e r e n t times
~ 6o
mm
straining.
50
40 I
20
=
I
30
,
I
,
40
I
TEMPERATURE
The
decrease
is shown
of
in fig.
the peak 4.
,
50
I
60
, °C
height
with
time
after
straining
at
37°C
0,05C of
30 kg/
after
i
Vol.
7, No.
i
INTERNAL
FRICTION
IN Fe-Ni-C A L L O Y S
85
Jo
z
70
.=F.
• Fe 29Ni 0.05C o Fe31.5N=0.0,~C
60
== ~- 4C Z
FIG.
3C
Internal
2C
37°C 1C
f r i c t i o n v.s.
2'o
3'o
I
,'0
J
50
60
70
time at
(maximum peak height)
a tensile
0
4
stress
after
of 30 k g / m m 2
at t = 0
TIMEMINUTES
The effect
of t e m p e r i n g
In this alloy, quenching,
and q u e n c h i n g also
~
which
a damping
is shown in fig.
does not peak
show a S n o e k - p e a k
is p r o d u c e d
in liquid N 2. Similar
this peak d i s a p p e a r s
80
5 for the 25 wt.pct after
by tempering
annealing
for
and
~hr at 400°C
to the peaks p r o d u c e d by d e f o r m a t i o n ,
after some time.
FIG.
Fe25N, 0.05C • o
5
HR
2 HRS )afte quencr~ng
Internal
70~-
rature
°i
f r i c t i o n v.s.
after
~hr at 400°C
__ 60
annealing
o
o
o
-
_
_
o
times(aging
during
measurements.) °
20
30
40
50
TEMPE RATURE, ° C
60
tempeduring
and q u e n c h i n g
liquid N 2 for different
I
50"~
4o i
Ni alloy.
in
aging
Snoek-peak
86
INTERNAL
FRICTION
IN F e - N i - C
ALLOYS
Vol.
7, No.
Discussion The
peaks
in 29 and after due
observed
31.5
wt.pct
tempering
to free
at 400°C
Ni alloys
I. A high
dislocation
practically
should
all
possess at
of
tion
the
ordering
carbon
cause
differences
resulting
nickel
to be The
iron
opinion
radii
of
to
locking
Snoek-locking.
seems
Ni a11oys not
unlikely
by
to
a change
in
twinning(ll).
by Jackson
likely,
randomly
of:
from massive
et al(3)
is tetragonal
due
that
the
to t r a n s f o r m a -
because
distributed
according
at
this
low
Ms-temperatures. the
sizes
This
occurs
16 and
phase,
3|.5 w t . p c t
is a c c o m p a n i e d
slip
is less
be
the o b s e r v e d
decrease of
the
the most
of
of
iron the
the
decrease
and nickel
atoms
could
octahedral
sites;
consequently
interstitial
atoms,
which
of
the peak
with
also
increasing
first
atoms
height
Harper
of carbon
measurements.
t
The
for
lack
time
could
dislocations.
the d i s l o c a t i o n showed atoms
of further
that
density
during
/
of the
peak
{-2L(~H) I/3
then This
may
be
evidences
caused
decrease according
strain
to d i s l o c a t i o n s
decrease
= exp. Qo
with
towards
to estimate
of Harper(8).
Q
explanation
likely.
in peak
carbon
a migration
damping
atoms, will
in the
density.
given
martensite
to the o b s e r v e d
the p o s s i b i l i t y theory
from
and/or
29 and
transition
result
in
content.
In our
diffusion
the
a transition
in a s t a b i l i s a t i o n
contributes
seems
and
the d i f f e r e n t
the
Ni
Snoek-relaxation a peak
martensite
by C o t t r e l l -
explanation
carbon
suggest
be
deformation
in 25 wt.pct
of such
the m a s s i v e
then
shear
of carbon
content
3. F i n a l l y
Ni
This
massive
the
could
and/or
3) and
strongly
dislocation
second
possible
formed
to Zener(12)
is true
wt.pct
martensite.
other
in
quenching
l and
absence
quenching,
a lower
the mode
rapidly
5) The
interstitials
28-30
after
(figs.
(in fig.
density
acicular
2. The
40°C
carbon.
after
supposition
because
ca.
alloys
interstitial
25 wt.pct
If this
at
Ni
aging
to
by:
(ADt/kT) 2/3}
the
of b.c.c.
be d e t e c t e d
is given
by
opens
by
I
Vol.
7,
No.
where
1
Qo
and
friction after
INTERNAL FRICTION IN F e - N i - C ALLOYS
Qt
peaks
A
is
describes
interstitial the
time the
the
the
minus
an a g i n g
density,
D is
are
K the
Boltzmann's
Using
this
the m a x i m u m
the b a c k g r o u n d
parameter
atom
of
at
t respectively,
interaction as
diffusion
in
a function
the
L is
the
energy
at
the
the
internal of
unknown
relation:
the
of
beginning
the
between of
coefficient
aging
U = Af(r,~)
a dislocation
position
of
absolute
and
dislocation which and
the
an
atom,
temperature
T,
constant.
equation
calculated Ii 7. ~0 and
values
87
and
the
above
mentioned
values
(8) we
have
from
the c u r v e s in fig. 4 a d i s l o c a t i o n d e n s i t y of about II -2 4.10 lines cm for the 29 and 31.5 pct Ni alloys
respectively. This
value
is
somewhat
observations(13,|4). determined measured
by
by
thin
other
A further The
results
It
higher
film
be
found
known
in e l e c t r o n t r a n s m i s s i o n
that
electronmicroscopy
methods
the
~s
dislocation
lower
than
density
those
(|5,16).
investigation
will
than
is h o w e v e r
of
published
this
problem
in due
course.
is b e i n g
carried
out.
Conclusions In m a r t e n s i t e and with
31.5
wt.pct
time
but
deformation The C atoms The
Fe-Ni-C
Ni
a Snoek-peak
can be m e a s u r e d
(29;
31.5
toward
the
of
has again
could
dislocations
decrease
with
0.05
been
wt.pct
found.
after
C and
The
peak
tempering
25;
29
disappears
(25 w t . p c t )
or
wt.pct).
disappearance
to e s t i m a t e
alloys
the
be
by w h i c h
peak
dislocation
due
height
to
the
diffusion
they
are
with
time
of
the
interstitial
locked. might
provide
a means
density.
Acknowledgement The
authors
criticizing for
would
like
the m a n u s c r i p t
experimental
assistance.
to and
thank
Prof.dr.ir.C.A.
helpful
diseussions
Verbraak and M r . A . M .
for Nijssen
88
INTERNAL
FRICTION
IN Fe-Ni-C ALLOYS
Vol.
REFERENCES. I. J.L.
Snoek,
2. E. Scheil, huttenw.
3. J.K.
Physica V I I I . 7 . 1 2
E. Wachtel
30.497
Jackson
and Pet.
4. F. Forster,
5. W. K~ster, 25.569
6. A.H.
und G. Gurbaxani,
Arch.
Eisen-
(1959).
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Eng.
(1941).
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230.216
Am.
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Z. M e t a l l k d e .
29.109
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(1954).
Cottrel
and B.A.
Bilby,
Proc.
Phys.
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(1949).
7. G. Schoeck
and A. Seeger,
8
S. Harper,
Phys.
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T.S.K~,
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71.533
J.G.
van der Laan and A.M.
II
V.F.
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12
C. Zener,
]3
C.M.
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15. R.K. Ham,
]6. A.W.
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et al.,
Phil.
Sleeswijk,
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]4. R.P.
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|0
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of M a r t e n -
7, No.
i