Scripta M E T A L L U R G I C A
Vol. 8, pp. 527-532, 1974 P r i n t e d in the United States
P e r g a m o n Press,
Inc.
THE A U S T E N I T E S T A B I L I T Y AND THE
R.M.Brito,
MARTENSITE
BURST
R.B.C. da Silva and J.R.C. G u i m a r a e s
INSTITUTO M I L I T A R DE E N G E N H A R I A C E N T R O DE P E S Q U I S A DE M A T E R I A I S Pqa. Gen. T i b ~ r c i o s/n9 - ZC-82 URCA- Rio de J a n e i r o , G B -Brazil (Received March
13, 1974)
The effects of plastic d e f o r m a t i o n and thermal s t a b i l i z a t i o n upon the m a r t e n s i t e burst have been r e c e n t l y studied by W o l l m a n n and Guimaraes (I) and by G u i m a r a e s and Brito (2) .
At that time it was r e p o r t e d that there would
exist a linear r e l a t i o n s h i p between the extent of thermal s t a b i l i z a t i o n imposed upon the a u s t e n i t e and the o b s e r v e d increase in the initial m a r t e n s i t e burst. The present note d e s c r i b e s the results of a work u n d e r t a k e n to further explore the c o r r e l a t i o n b e t w e e n thermal s t a b i l i z a t i o n
(TS) and the burst phenomenon.
In a d i t i o n to this matter the c o n d u c t e d e x p e r i m e n t s have yielded i n f o r m a t i o n about both "mechanical s t a b i l i z a t i o n " and "mechanical s e n s i t i z a t i o n "
of
austenite. The m a t e r i a l used was a high purity Fe-27%
Ni-0.23% C alloy.
It was
subjected to the same t h e r m o - m e c h a n i c a l treatments d e s c r i b e d in ref.l, w h i c h y i e l d e d a u s t e n i t i c strips w i t h a .2 mm average grain diameter. this m a t e r i a l was then 50% cold rolled.
of
Specimens of each set were given
e q u i v a l e n t sequences of c o o l i n g to burst and aging, of Fig.l.
A part
i l l u s t r a t e d in the d i a g r a m
This sequence was d e s i g n e d to study the p o s s i b i l i t y of having the
r e a c t i o n o c c u r i n g by r e p e a t e d bursts.
The c o o l i n g m e d i u m was a liquid n i t r o g e n
r e f r i g e r a t e d ethyl alcohol bath and the r e a c t i o n temperature was d e t e r m i n e d by the r e s i s t o m e t r i c method e x h a u s t i v e l y d i s c u s s e d e l s e w h e r e (3) on in a heated silicone bath at 150°C for 15 minutes. 527
A g i n g was carried
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AUSTENITE STABILITY AND THE MARTENSITE BURST
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Optical m e t a l l o g r a p h y and X-ray d i f f r a c t i o n were used to o b t a i n the amount of m a r t e n s i t e in the specimens.
The D i c k s o n ' s (4) t e c h n i c q u e was e m p l o y e d
to
c o r r e c t the X - r a y data for p r e f e r r e d o r i e n t a t i o n effects.
u)
Specimen
Aging T r e a t m e n t
/
/
/
T! " " ~"
T2-,..
×/
o 4--
o
o.
E X-Mortensite
Fraction
Volume Determination
Time (arbitrary
scale)
Fig.l Experimental Sequence
It was o b s e r v e d that the e x p e r i m e n t a l p r o c e d u r e s c h e m a t i z e d in Fig.l was able to cause the m a r t e n s i t e t r a n s f o r m a t i o n to proceed in both d e f o r m e d and a n n e a l e d specimens by s u b s e q u e n t bursts.
However in the a n n e a l e d specimens the
burst t r a n s f o r m a t i o n d i s a p p e a r e d after 3 e x p e r i m e n t a l sequences while it could be o b s e r v e d after 5 sequences in the d e f o r m e d ones.
This b e h a v i o r is p r o b a b l y
due to the size of the initial burst w h i c h was about 5 times larger in the a n n e a l e d than in the d e f o r m e d specimens.
This e f f e c t can be easily r a t i o n a l i s e d
if one r e a l i s e s that the a u s t e n i t e grains p a r t i t i o n i n g by m a r t e n s i t e plates and the a m o u n t of a u s t e n i t e a v a i l a b l e to t r a n s f o r m are l i m i t i n g factors for the burst p r o p a g a t i o n and i n t e n s i t y in a p a r t i a l l y t r a n s f o r m e d material.
Both effects are
n a t u r a l l y i m p o r t a n t after a big burst and are assumed to be r e s p o n s i b l e for the
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AUSTENITE
STABILITY AND THE MARTENSITE
BURST
529
experimental observations described above. It was also possible to confirm the existence of the reported
(i)
linear
relationship between the amount the of martensite, ~v • formed in a burst caused by aging a partially transformed specimen and the correspondent extent, thermal stabilization,
Fig.2,
e
(i)
where ~ is a proportionality constant.
The quantity @ is given by the difference
between two subsquent bursts temperatures.
The existence of the relationship
Eq. (i) can be confirmed by plotting the total amount of martensite ~v '
against the cooling temperature T, Fig.3.
if the transformation Eq. (i) holds,
is forced to occur by
then V M
of
i.e
~v =
specimen,
e,
(subsequent)
in the
It can be shown that
bursts only,
and
should be linearly related to T, i.e,
V
~v = ~
(T - T )
(2)
and
. T
where MB, O ~,0 V
VvB'O = ~,0
-
~-
(3)
is the experimentally determined martensite
the associated burst intensity.
It is clearly seen in Fig.3 that the
experimental data support this hypothesis. slopes of the lines
~v
vs.
This plot also discloses that the
T are essentially equal in the range
temperatures where the observations were carried-on. Eqs. (i) and
start temperature and
(2) would be strain independent,
caused by thermal stabilization
of
Thus, the coeficient
, @(b
i.e, equal amounts of "super-cooling"
(or an equal excess of Gibbs Free-Energy, which
is nearly a linear function of the temperature) of the specimen initial conditions.
produce equal bursts,
independent
On the other hand it was observed that
specimens from both sets, continuously cooled to a given temperature,
T, below
M B, displayed nearly the same amount of martensite as the specimens subjected to the sequential transformations,
Fig.l.
This suggests that for a given set
of
530
AUSTENITE
X
S T A B I L I T Y AND THE M A R T E N S I T E BURST
>
•
Vol.
8, No.
5
- Annealed
.15
:>> .,o .05
0
b
=/" III 0 5
t I0
I 15
I 20
I 25
I :50 e (oK)
I :35
Fig.2 The linear r e l a t i o n s h i p o b s e r v e d between the i n t e n s i t y of a burst, degree
of
thermal
~v
' and the a s s o c i a t e
stabilization,
@ .
initial c o n d i t i o n s the e x t e n t of t r a n s f o r m a t i o n would depend upon the t e m p e r a t u r e only, a s i t u a t i o n named
"athermal".
F u r t h e r m o r e the same e x p e r i m e n t a l fact also
suggests that the bursts caused by the s t a b i l i z i n g treatments would occur
to
c o m p e n s a t e for the associated r e a c t i o n arrest. Another
fact w h i c h is c l e a r l y d e p i c t e d in Fig.3 is that the curve
c o r r e s p o n d e n t to the d e f o r m e d set is d i s p l a c e d d o w n w a r d s r e l a t i v e l y to the one a s s o c i a t e d w i t h the a n n e a l e d specimens.
In terms of "athermal kinetics" this
implies that at a given t e m p e r a t u r e there would be less d r i v i n g force available for the r e a c t i o n in the d e f o r m e d than in the a n n e a l e d specimens.
This effect
can be a c c o u n t e d for if one r e c o g n i z e s that the plates m e c h a n i c a l c o u p l i n g can be thought of as e f f e c t i v e l y i n c r e a s i n g
(locally)
the d r i v i n g force for the r e a c t i o n
This e f f e c t earlier suggested by C h r i s t i a n (5) was found to be a p l a u s i b l e e x p l a n a t i o n for some of the o b s e r v a t i o n s r e p o r t e d by G u i m a r a e s and Brito (2) Then it is p r o p o s e d that the i n h i b i t i o n of the o v e r - a l l t r a n s f o r m a t i o n k i n e t i c s o b s e r v e d in the d e f o r m e d set w o u l d be a result of the i n t e r f e r e n c e of the austenite s u b s t r u c t u r e upon the plates coupling.
This i n f l u e n c e of the a u s t e n i t e *
s u b s t r u c t u r e over the r e a c t i o n k i n e t i c s would be r e p r e s e n t e d b y the p a r a m e t e r T in Eq.(3).
In fact,
it can be inferred from the data in Fig.3 that 50% plastic
Vol.
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AUSTENITE
S T A B I L I T Y AND THE M A R T E N S I T E
BURST
531
=E >
>
¢0
[A
.8 0 I-
.7
E
.6
0
.5
seq. cooled cont cooled
I,o -
cooled seq. conT. cooled
~
%%
1:3
.3
*'-.
4-
E m 0
-
B Deformed / I
.4 o0 C 03
_
Annealed~.A
.2
"'.
Me
l i k . TD
.I ,
o 170
190
210
/
230
,-.!
250
,
,
,
270
290
310
330
Temperature ,T ( °K ) Fig.3 A m o u n t of m a r t e n s i t e in the material, as a function of temperature, deformation depressed T w h i c h can be e s t i m a t e d
about 80°K
~v
'
T .
(relatively to the annealed set)
an effect
from the data by Kaufman and Cohen (6) to be e q u i v a l e n t to
a Gibbs F r e e - E n e r g y change of about 100 cal/mol. s t a b i l i t y the effect just d e s c r i b e d could be named
In terms of austenite "mechanical stabilization".
On the other hand the data in Fig.3 also shows that 50% d e f o r m a t i o n raised the M B t e m p e r a t u r e of the m a t e r i a l about 12°K.
This effect w h i c h supports the
h y p o t h e s i s that m a r t e n s i t e n u c l e a t i o n occurs p r e f e r e n t i a l l y at some sites of the austenite
internal s t r e s s - f i e l d has been named
"mechanical s e n s i t i z a t i o n ''(7)
It is then implied that "mechanical stabilization" are not e x c l u s i v e phenomena. (autocatalitic)
and "mechanical sensitization"
The former would be a s s o c i a t e d with the
p r o p a g a t i o n of the r e a c t i o n and the latter with the initial
n u c l e a t i o n of martensite. However it is important to recall that a v a i l a b l e (1-2) data indicate that small smounts of d e f o r m a t i o n can both raise the M B t e m p e r a t u r e and increase the initial burst. Eqs.(1) T
and
(2) upon strain,
could also be raised
Then,
the n o n - d e p e n d e n c e of
~,
suggested by the data in Fig.3, would imply that
("negative m e c h a n i c a l stabilization").
532
AUSTENITE STABILITY AND THE MARTENSITE BURST
Vol.
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5
Conclusions. The experiments
(i)
the martensite
described
above disclosed
that in the alloy studied:
reaction occurs during cooling under conditions
named
"athermal"; (ii)
there is a linear relationship
between the extent of thermal stabilization
and the intensity of the associated
(Ni)
the burst associated with thermal
martensite
burst;
stabilization
seems to compensate
reaction arrest during cooling which is caused by the stabilizing (iN)
"mechanical austenite
(N)
stabilization"
substructure
"mechanical
would result from the interference
with the plates mechanical
sensitization"
for the
treatment;
of the
coupling;
would be primarely associated with the initial
nucleation of martensite.
Acknowledgements. This work has been supported Materials
Research Center.
Council,
CNPq.,
and PRO.
2257/72.
by the Ministry of Planning through IME
Special thanks are due to the Brasilian
for aditional
support through the grants.
Research
TC 12508, PRO. 241/73
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D.R. Wollmann and J.R.C.
2-
J.R.C.
3-
D.R. Wollmann,
4-
J.M. Dickson,
5-
J.W. Christian,
Guimaraes
Guimaraes,
and R.M. Brito,
M.Sc. Thesis,
J. Appl. Crxst. , ~, 176 Physical Properties London
L. Kaufman and M. Cohen, Progress Pergamon Press, London
7-
J.R.C.
Scripta Met., !, 621
Guimaraes
(1973).
(1973).
Instituto Militar de Engenharia,
the Fron and Steel Institute, 6-
Scripta Met., !, 355
1972.
(1969).
of Martensite
and Bainite,
p.14,
(1965).
in Metal Physics,
vol.~,
p.190,
(1958).
and J.C. Shyne, Scripta Met., ~, 1019
(1970).