Scripta METALLURGICA
Vol. 4, pp. 221-224, 1970 Printed in the United States
THE FORM AND INITIATION
OF SERRATED
YIELDING
Pergamon
IN AN AI-M~2Si
Press,
Inc.
ALLOY
P.G. McCORMICK,
School of Metallurgy, University of New South Wales, KENSINGTON. N.S.W. AUSTRALIA (Received Recent tional alloys temperatures
Locking
by two distinct
serrations,
of the curve•
followed
Unlocking
high temperature
serrations
strain for the onset of serrated model.
temperature
At high temperatures
behaviour
is often found
strain rate dependence A1-Mg2Si
ized by the negative Tensile quenching
the serrations (Russell
initiation specimen
1
strain
with Cottrell's
original
show that unlocking
serrations
are character
of e ° at low strain rates.
(0.04 mm) specimens,
load-elongation
are the periodic
locking
type,
(1,2).
of the
in a commercial
of nominal
were carried out at room temperature
Type A) and others
of a deformation
the opposite
note, observations
after
curves for high and low strain
For strain rates greater
•
at
the critical
with increasing
and the form of serrations
Typical
curve as abrupt
in flow stress
however,
In the present
tests on fine grained
from 500°C.
drops
serrations
E , increases o in agreement
strain rate dependence
rates are shown in Fig. (4),
flow,
and low strain rates,
0.7%Mg and 0.4%Si,
locking
drops back to or below the level
For locking
(1-4,8)
o alloy are reported, which
composition
appear on a stress-strain occur as repeated
(2,5,8,9).
of e
in substitu-
types of serration,
by discontinuous
and low strain rates•
rate and decreasing
yielding
which are found at low and intermediate
in the serration range,
in flow stress
19, 1970)
(1-7) have shown that serrated
is characterized
and unlocking. rises
studies
January
than 2 5 x 10 -3 min -i •
similar
•
,
to that found by Russell
Each serration
band, which then traverses
corresponds
to the
the gauge length of the
(4,10). For strain rates
less than 2.5 x 10 -3 min. -I, unlocking
occur at the start of serrated amplitude
and are associated
With increasing serrations
flow.
The serrations
with discontinuous
strain a gradual
transition
is observed.
221
serrations
have a relatively
deformation
from unlocking
constant
band propagation(6) to periodic
locking
222
SERRATED YIELDING
IN AN AI-Mg2Si ALLOY
@l
w
I[LOI,IGATION
FIG.
i
Typical load-elongation curves exhibiting locking and unlocking serrations.
Io"
Uld LOCK I MG ~.__~.LOC t~ IJG S ERIIA'TIOkI$ I lie lilt ATlOkl~il
16 2
I Io 3
I I0 ~
I 16'
(m,n-') FIG.
2
Strain rate dependence
of e 0
I I
Vol., No. 3
Vol.
4, No.
3
SERRATED
YIELDING
IN AN AI-Mg2Si
ALLOY
The effect of strain rate on e rates
greater
is shown in Fig. 2. o than 2.5 x 10 -3 min. -I, where locking serrations
225
For strain occur,
e O
increases
with increasing
where unlocking
serrations
strain rate. occur,
The correspondence strain rate ized.
(or temperature)
Locking
subsequsnt
serrations
breakaway
large strain rates, dynamic
locking.
decrease
a negative
between
strain mate dependence
the form of serrated
dependence
result
yielding
of e ° has not previously
from the dynamic
mobile
the solute mobility
is initially
insufficient
However,
the increase
velocity
in vacancy
accompanying
E
and the
been emphas-
dislocations.
concentration
deformation
to be met at c . Cottrell o at constant temperature
is found•
locking or ageing and
of initially
locking
have shown that,
for e < 2.5 x 10 -3 min. -I,
and multiplication
in dislocation
for dynamic
However,
(11,12)
allows
At
to cause and the the condition
and Ham and Jaffrey
(13)
= Ac I/(m+8)
(i)
o where A is constant strain relation, From Fig.
and m and 8 are parameters
Cv a m , and dislocation
In the region is initially
with dislocations. yielding
low enough
Therefore
but rather,
the unlocking
stress
relation,
(7) for solute
the critical
v a e -8
is reached.
to be dragged
existing
atmospheres,
Thus a rise in flow stress
stress
strain-rate
along
dependence of e O
once
is not observed
In this region the (14).
is required for breakaway, dependence
alloys.
for the onset of serrated
only the yield drop occurs.
a greater
in the negative
(4)
as is the case for locking
from already
strain-rate
2.2
the dislocation
atmospheres
condition
of an atmosphere,
size also has a negative
lower strain rates,
and 2.14 (i) in gold-indium
strain rate dependence
the breakaway
prior to the yield drop; atmosphere
alloys,
of negative
is not the acquisition
serrations,
reflected
velocity-strain
2, m + 8 = 2.7, which may be compared with the (m + 8) values
and 2.8 - 3.1 (3) in copper-tin
velocity
in the vacancy concentration-
Thus at
which is
224
SERRATED YIELDING IN AN AI-Mg2Si ALLOY
Vol.
4, No.
REFERENCES i.
A.J.R. Soler-Gomez and W.J.McG. Tegart, Phil. Mag.
2
D. Munz
and E. Macherauch,
Z. Metallk.
5~?, 552 (1966).
O. Vohringer and E. Macherauch, Z. Metallk. B. Russell, Phil. Mag.
58, 317 (1967).
~, 615 (1963).
A. Rosen and S.R. Bodner, J. Mat'Is., Sci. Engr. A.T. Thomas, Acta Met.
20, 507 (1969).
~, 115 (1969).
1__4, 1363 (1966).
W. Charnock, Phil. Hag.
20, 427 (1969).
S.G. Harris, Vacancies and Other Point Defects in Metals and Alloys, p. 220, Inst. Metals, London. (1958). 9.
D.J. Bailey, W.F. Flanagan, and G.E. Miller, Acta Met.
I0.
P.J. Worthington and B.J. Brindley, Phil. Mag.
Ii.
A.H. Cottrell, Phil. Mag.
12.
A.H. Cottrell, Relation of Properties to Micros tructure, p. 131, A.S.M.
13, 436 (1965).
19, 1175 (1969).
4_~4, 839 (1953).
(1953). 13.
R.K. Ham and D. Jaffrey, Phil. Mag.
14.
J.P. Hirth and J. Lothe, Theory of Dislocations, McGraw-Hill, New York (1968).
15, 247 (1967).
3