Scripta
METALLURGICA
Vol. 23, Printed
pp. 65-70, 1989 in the U.S.A.
Pergamon Press plc All rights reserved
E V A L U A T I O N OF CREEP DAMAGE IN A Mn-Cr A U S T E N I T I C STEEL
Matera
R.
C o m m i s s i o n of the E u r o p e a n C o m m u n i t i e s Joint R e s e a r c h Centre,
Ispra E s t a b l i s h m e n t
2 1 0 2 0 Ispra, Italy (Received (Revised
At high temperature,
metals and alloys
coalescence
oY microdefects
been widely
investigated
under
at the grain
(i),
both
August October
19, 19,
stress
1988) 1988)
fail as a result
boundary.
The m e c h a n i s m s
for the round type o f defect
of nucleation,
of the (voids),
three
growth
processes
which occurs
and have
at h i g h
temperature and low stress, and for the wedge shaped type, which occurs at lower t e m p e r a t u r e and higher stress. The problem o f m e a s u r i n g w h a t is c o m m o n l y r e f e r r e d to as creep damage has also been a d d r e s s e d by many authors. M e t h o d s based on the v a r i a t i o n
of a physical
property,
like density
(2,9),
small
angle n e u t r o n s c a t t e r i n g (3,4), electrical r e s i s t i v i t y (5), sound velocity (6) or methods b a s e d on m e t a l l o g r a p h i c techniques (7) have been p r o p o s e d in the literature. A feature common to all these methods is that the e v a l u a t i o n of the creep damage is p e r f o r m e d on that part of the crept s p e c i m e n w h i c h has not failed.
As the creep
damage
is
not
necessarily
evenly
distributed
the
value thus m e a s u r e d is e x p e c t e d to be less than or equal to critical creep damage for failure. Moreover, when the m e t h o d is based on the variation of a physical property, it requires a substantial
amount
of m a t e r i a l
and
i n t e g r a t e d n a t u r e o f the measure.
is not able to give point
by point
It is thus d i f f i c u l t to e x t r a p o l a t e
information
the value
due
of creep
to
the
damage
at the location of fracture, which is the only datum of real interest. The s e n s i t i v i t y and the a c c u r a c y o f m e a s u r i n g creep damage vary from method to m e t h o d and can be very high, p r o v i d e d that the m a t e r i a l does not u n d e r g o structural changes during the creep test. This
is, however,
precipitation austenitic
in
lattice
seldom the case austenitic to
shrink
for c o m m e r c i a l
stainless and
the
materials.
steel o c c u r r i n g density
to
in
increase
A
typical
the thus
creep
example
is
regime.
It
counterbalancing
d e c r e a s e due to the cavity formation. In these cases it is g e n e r a l l y between cavity f o r m a t i o n and o t h e r extraneous effects.
difficult
A =
c
i
-
carbide
causes the
the
density
to d i s c r i m i n a t e
The m e t h o d p r o p o s e d here starts from the d e f i n i t i o n o f creep damage due to Kachanov
w
the
(8]
r (I)
--
A
w h e r e ~ is the creep damage, A and A, respectively, are the actual r e s i s t i n g area and the apc r p a r e n t a r e a as m e a s u r e d by the e x t e r n a l d i m e n s i o n s o f the sample. In Kachanov's model the material is e x p e c t e d to fail w h e n ~ r e a c h e s unity. c It is a c o m m o n observation, however, t h a t the f r a c t u r e surface o f a creep specimen, even a f t e r long creep duration, does not feature a c o m p l e t e l y i n t e r g r a n u l a r type of fracture mode. It is t h e r e f o r e i n f e r r e d that the final r u p t u r e occurs before the creep damage, as defined in Kachan o v ' s model, r e a c h e s unity. R e c a l l i n g the d e f i n i t i o n o f the r e d u c t i o n in area, if follows that
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66
CREEP
IN
A Mn-Cr
AUSTENITIC
A r (i - Z
we = i - A o where A
is the original cross-sectional o a r e a due to the c r e e p deformation. As
the
test
sisting
proceeds,
area A
both
creep
, will decrease
STEEL
Vol.
23,
No.
)
1
(2)
c
a r e a o f the t e s t
section and Z
is the
reduction
in
c
damage
and
according
creep
deformation
will
increase.
The
actual
re-
to the relation:
r A and the stress the u l t i m a t e
= A
r
o
(i - Z
) (I - ~ ) c
c
(3)
a c t i n g on it, F /A , w h e r e F is the a p p l i e d load, Will i n c r e a s e until it r e a c h e s cr o f the material, o*. ~t this point, p l a s t i c i n s t a b i l i t y will occur g i v i n g
strength
arise to l o c a l i z e d creep d a m a g e
~
n e c k i n g a n d to a fast f r a c t u r e
at the o n s e t o f rupture.
process,
freezing
the a c c u m u l a t e d
value o f the
Thus:
c F
c
--
A It is a s s u m e d occurring sured
h e r e t h a t the s t r e n g t h
during
the
creep
process,
in a s h o r t t i m e t e s t at the
variation
could
be
incorporated
o f the
change
creep
loss of load b e a r i n g ification in a r e a
Z
reduction
o f its u l t i m a t e which
occurs
t in a r e a Z
t i o n is r e a s o n a b l e tribute
capacity
tensile occurs
fast
in
the
the r e l a t i v e
Therefore,
ultimate should
damage"
boundary
the
process
period
can
o f creep
changes
tensile
as
not
"creep
contribution
"creep
microstructural
this
expression
A second assumption
fracture
during
true
due to the g r a i n
strength.
the
the
However,
sense
between
properties.
in spite o f the
to
temperature.
of a material
during
which
equal
in a b r o a d e r
of mechanical
(4)
o f the material, remains
this will not a l l o w us to d i s c r i m i n a t e and
: o*
r
stress
be
the
damage"
o f the c a v i t y is
defined
separation
neglected
damage
with
formation as
reduction
respect
accumulation.
This
to
o
(i
+ ~
uts
the
assump-
m e x c e e d s 20-30%, as the p r e s e n c e o f the creep m i c r o c a v i t i e s will c a m o n g the m a n y l i g a m e n t s e x i s t i n g b e t w e e n a d j a c e n t cavities. Therefore: o* =
the
a n d to the m o d -
~hen
the n e c k i n g
its
although
here
is t h a t the a d d i t i o n a l be
mea-
case,
dis-
)
(5)
u
F c
(1 - ~ ) ( i
A o
where rial
- z)
=
Gut s
(I
+ eu)
(6)
c
a is the e n g i n e e r i n g u l t i m a t e t e n s i l e strength, ~ the u n i f o r m e l o n g a t i o n o f the uts u (in a fast test) at the test t e m p e r a t u r e and Z the r e d u c t i o n in area m e a s u r e d after
fracture.
By s i m p l e
substitution
matecreep
we obtain: o o c
:
i
- - -
o is the i n i t i a l a p p l i e d stress. o By t h i s m e t h o d it is p o s s i b l e to e v a l u a t e
i
Gut s
i-+
i ~
i -
z
(7)
u
where
basis o f the r e s u l t s fracture)
o f the creep
test
a n d o f the s h o r t t e r m m e c h a n i c a l
The m e t h o d was a p p l i e d
to the
whose
g i v e n in
composition
is
results
the
itself
of
T a b l e I.
creep
damage
(initial
properties
at
applied
the
location
stress
of
fracture
and reduction
on
in a r e a
the at
o f the material.
stress-to-rupture
tests o f an
The m a t e r i a l
supplied
was
austenitic
Mn-Cr steel
as 30 mm t h i c k
hot-rolled
Vol.
23,
plate,
No.
1
in the
average
CREEP
solution
intercept
properties
for F u s i o n
Reactor
at long c o o l i n g
annealed
method
mechanical
was,
First
times
specimen
respectively.
Wall
of ~
during
by means
and o f E uts
creases
Blanket
which and
average
grain
were
Shield
67
size,
obtained
is c o n s i d e r e d
as
components
tests were p e r f o r m e d heads.
The
as
measured
during
the
a possible because
by
the
of
its
lineal
evaluation
substitute
in t e n s i o n u n d e r c o n s t a n t
specimen
gauge
length
was in the range 773-973
of an optical
and
K and
to w i t h i n + 2°K.
microscope
are those r e p o r t e d
o f the a n a l y s i s
lower
of
of
the
AISI 316
radioactivity
equipped
load on smooth cylin-
diameter
the
were
test
The r e d u c t i o n
with a p r e c i s i o n
50 and
environment
i0 mm,
was
air.
in area at failure
X-Y.
stage.
The
values
in (9).
in a p a r a b o l i c should
occur
are shown
is p l o t t e d way
The e x t r a p o l a t i o n
damage
results
The
the test was c o n t r o l l e d
i the creep damage
ture.
The
70 pm.
STEEL
u
The r e s u l t s Fig.
AUSTENITIC
condition.
The test t e m p e r a t u r e
measured
was
Mn-Cr
(9,10).
w i t h threaded
The t e m p e r a t u r e
A
o f this m a t e r i a l
Creep and s t r e s s - t o - r u p t u r e drical
IN
with
to w
and
the
c
in the f o l l o w i n g
against
a
increasing
o initial
gives
each
+0
fracture
for
should
figures
, the initial
for the five test temperature.
applied
applied
stress.
stress
temperature
the
and
a
with
values
o intragranular
be e n t i r e l y
The
creep
damage
decreasing above
with
a
In de-
tempera-
which
no creep
dimpled
fracture
mode. Fig.
2 indicates
fracture
modes;
tions c o n f i r m men
crept
17,469.6
the r e g i o n s the
diamond
the results
at
500°C
in the points
stress-temperature represent
of the damage
under
h. The c a l c u l a t e d
an
initial
creep
damage
the
analysis.
Fig.
applied is 50%,
space c o r r e s p o n d i n g
creep
test
matrix.
3 shows
stress a value
of
the
The
to the two d i f f e r e n t
fractographic
fracture
260 MPa.
surface
The
in good a g r e e m e n t
observa-
of
a speci-
time-to-rupture with
was
the f r a e t o g r a p h i c
appearance. Fig. The
4 shows
the f r a c t o g r a p h y
time-to-rupture
with no e v i d e n c e
strongly
creasing In Fig. damage
a specimen As
predicted
by Fig.
650°C under an a p p l i e d 2 the
fracture
mode
is
stress
of 330 MPa.
completely
ductile
crack formation.
seem to s u g g e s t
temperature
crept at
that b o t h the n u c l e a t i o n
dependent;
the
former
increases
and g r o w t h while
the
of grain b o u n d a r y latter
decreases
defects with
in-
temperature. 5 the creep damage
appears
to a p p r o a c h
1 0 0 % at infinite
o f d a m a g e e.g. 500 to 700°C.
20%,
~he basis
time.
is r e a c h e d
with
intergranular
increasing
layer,
the log of the time-to-rupture.
which
is
The i n f l u e n c e
at 500°C after
longer,
the
lower
of t e m p e r a t u r e
with t e m p e r a t u r e
temperature.
In
w h i c h is r e s p o n s i b l e
this
for the g r a i n
in an
tends c The same amount
carbides
boundary
incubation
These results
of carbides
steel,
creep
w
of 4 in creep damage g o i n g
÷ 0 results
c to less than one h o u r at 700°C.
kinetics
A measurable
temperature,
to less than one hour at 700°C.
of a factor
to ~
the
is remarkable.
lO00 h as c o m p a r e d
is an increase
o f these curves
hours at 500°C
o f the a c c e l e r a t e d
against
period
of lO00 h there
The e x t r a p o l a t i o n
from a few h u n d r e d boundaries
is p l o t t e d
after an i n c u b a t i o n
For a t i m e - t o - r u p t u r e
on
of
0.2 h.
of i n t e r g r a n u l a r
These o b s e r v a t i o n s are
was
time
can be e x p l a i n e d
precipitation tend
to
from
ranging
at the g r a i n a
continuous
and to the c o l l e a g u e s
of the Ma-
separation
form (I0).
Acknowledgments The a u t h o r w i s h to express terial S c i e n c e
Division
his g r a t i t u d e
for the h e l p f u l
to Prof.
G. Bernasconi
discussions
and to Mr.
G. M a t h e y
and Mr.
H. Weir for the
experiments. References I. R.W.
Evans and B. Wilwhire,
Creep o f M e t a l s
and Alloys,
The I n s t i t u t e
o f Metals,
London
1985
68
CREEP
IN A M n - C r
AUSTENITIC
STEEL
Vol.
23,
No.
1
2. N.G. Needham, J.E. Wheatley and G.W. Greenwood, Acta Met., Vol. 23, (1975), 23. 3. R. Matera & F. Rustichelli, in Creep of Engineering Materials and Structures G. Bernasconi & G. Piatti Eds., Applied Science Publishers Ltd., London, (1979), 389-412. 4. R.J.R. Miller, S. Messoloras, J. Stewart and G. Kostorz, J. Appl. Crystallography, ii (1978), 583. 5. G.B. Thomas and H.R. Tipler, NPL Report DMA 74, NPK 7/05, September (1971). 6. R. Kompfner and C.F. Quate, Phys. Techn., (1977), 231. 7. B.F. Dyson and D. McLean, Met. Sci. J. Vol. 6, (1972), 220. 8. L.M. Kachanov, Izv. Akad. Mauk. SSSR. OTN. Tech. Nauk. 8 (1958), 26. 9. G. Piatti, S. Matteazzi and G. Petrone, Nucl. Eng. Design/Fusion 2 (1985), 351. i0. E. Ruedl, R. Matera and G. Valdr~, J. Nucl. Mat. 151 (1988), 238.
TABLE I Chemical Composition of the Austenitic Steel.
C
0.i0
Si
0.6
Mn
P
S
Ni
Cr
Mo
Cu
Ti
A1
B
N
Fe
17.2
0.02
0.01
0.i
i0.i
0.07
0.06
--
0.005
28 ppm
0.2
Bal.
100 90.
[] 500°C 0 550°C z~ 600°C + 650°C 0 700°C
0
80, ~J tg
E
70. 60.
¢0
50. O. ~J L
z~
40. 0 30.
+ +
20"
o
D 0
[]
z~
0
D
:1:
+
o
10" O" 0
I
l
I
l
I
I
l
I
I
I'
1O0
°'
°
I
I
l
l
l
|
i
200
i
i
l
i
l
i
i
l
I
'
'
l
l
300
•
I
I
•
I
|
~00
Initial applied s t r e s s ( M P a )
FIG. 1 Creep damage as a function of temperature and initial applied stress (MPa).
Vol.
23,
No.
1
CREEP
700-
IN
A
Mn-Cr
O O0 O
AUSTENITIC
STEEL
69
<> O ~
O O0 00 O O O xO O 0
Mixedoofracture ¢ 0 0 0 0
0 ~ 0 x Dimples
600 Dimples + cavitated 9rain boundaries 0 0 0 0
500' 0
\
0 O0
x
\
0 O0 0 x 100 200 300 ~00 Initial applied stress, MPA
I I l l U U l l U | I I ' I I
0 0
\
V ~ I V I I I I , , , I
J U ] I , , , I I
I l U l l , l , u u
FIG. 2 I d e n t i f i c a t i o n o f the region o f o c c u r r e n c e o f creep damage. The test matrix
i,u
500
is indicated
by the
diamonds.
Fig. 3 F r a c t u r e s u r f a c e o f a creep s p e c i m e n r u p t u r e d after 1 7 , 4 6 9 . 6 h at 500°C under an initial a p p l i e d stress o f 2160 MPa. The c a l c u l a t e d creep damage is 50%.
70
CREEP IN A Mn-Cr AUSTENITIC
STEEL
Vol.
23,
No.
1
FIG. 4 Fracture surface of a
creep
specimen
ruptured
after
0.2 h
at
650°C
under
an
initial
stress o f 330 MPa. The fracture mode is e n t i r e l y ductile.
100 I
=o-I
~,,~ ~..~;~o ~o~ ~oooc
/
~ " ,
.,~'1=~
V
------0--
60
500oc
, .o4 1o 0 011
. . . .
I
'
1.0
'
'
"
'
I
'
"
'
"
'
I
'
'
,
'
'
i
,
. . . .
I
. . . . .
I
10.0 100.0 1000.0 10000.0 100000.0 Rupture life (hours/
FIG. 5 C r e e p damage as a f u n c t i o n o f the time to r u p t u r e a n d temperature.
applied