LETTERS
difference
between adjacent
TO
readings is only about 10
THE
X11
EDITOR
This is the inverse of the effect noted by Jenkinst2) on
the most,(l) and becomes even less as the rate becomes
dropping the pressure. This effect can be accounted
slow at low pressures. There is a small error possible in the time readings as well, since the experimental method
gaseous diffusion model. The gas diffuses through small pores through the laminations. Large fissures
requires simultaneous
between the laminations
times the estimated
error of the Sieverts method
reading of two manometer
For this reason Am/Al/t
at
arms.
versusp is plotted rather than
in adjacent
for in terms of the
connect the ends of the pores
layers without introducing
any resistance
the more natural (Am)z/At versus p since squaring the
to flow.(l) This is the situation under normal conditions,
term containing both the possible errors would magnify the scatter. The possible error increases as the
when the pressure difference across any single lamination is small. However, if the pressure is suddenly raised on the outside of the scale, the outer laminations
pressure falls. The theory for the oxidation
process requires that
m2 = k’pt where k’ is a constant Am/A2/t
independent of pressure. Thus should vary asp l12. This relation is shown as
the full lines in Fig. 1. It can be seen that the agreement is extremely
good.
The effect of sharply varying the pressure studied by adding further amounts of oxygen measuring the change in rate. mg/cm2
of oxygen
absorbed
Fig. 2. The oxidation
was and
A rate curve plotted as versus time is shown in
was allowed to proceed until the
atmosphere was nearly exhausted, and a small amount of oxygen added, sufficient to alter the pressure to 550 mm Hg. The rate immediately increased, falling off as the atmosphere
was again exhausted,
retracing
the
last part of the original oxidation curve. At this point a large addition of oxygen was made, sufficient to raise the pressure nearly to atmospheric.
In this case
the rate rose sharply for a very short while, then fell off until the reaction slowly
increased,
almost stopped.
eventually
reaching
The rate then a normal rate.
will be compressed, thus reducing or removing the parallel fissures between the laminations which connect the pores.
The number of diffusion paths to the met&l
surface will therefore be much reduced, until the slow flow of gas through the remaining paths has equalised the pressure distribution The results obtained
The rate
in this series of experiments
confirm that the controlling bolic stage in the oxidation of gaseous oxygen particular
step in the second paraof titanium is the diffusion
through
the porous
they show that the parabolic
is linearly dependent by theory.
scale, and in rate constant
on oxygen pressure, as required
The materials for this investigation I.C.I. Metals Division.
were supplied by J. STRINGER
Department of Metallurgy University of Liverpool References 1.
J. STRINGER, Acta Met., 8, 558 (1960). 2. A. E. JENKINS, J. Inst. Met. 82, 213 (1953-54). * Received
34
through the scale.
will then increase to the steady state value.
February
26;
revised April 1, 1960.
32 30 28 26 "E
24
4
22
The structure of slip hand extrusion revealed transmission electron microscopy* Earlier
r20
observations(l)
on various
materials
shown that fatigue stress caused bhe extrusion
18 16
scrolls of debris from slip bands.
14
was very marked
in solution
by have
of thin
This phenomenon
treated aluminium-4°/,
copper alloy fatigued at room temperature, where it was observed to occur suddenly within a few stress
0
20
30 Time,
40
50
60
70
80
min
FIG. 2. The effect of abrupt pressure changes cm the oxidation 6-(80
py.)
rate of Ti-40/,
Fe at 910°C.
height of the extrusions cycles. (2) The maximum observed in this alloy was approximately 10 ,u, and interferometric measurements suggested that they were not thicker than 0.1 p. A light micrograph of a typical slip band extrusion is shown in Fig. 1. In an earlier study(2) the extrusions stripped from a specimen on a “Perspex”
replica were examined both by reflected
812
ACTA
METALLURGICA,
VOL.
8,
1960
and fatigued extruded
at room
material
surface embedded Judging
from
temperature.
was stripped
The slip band
from
the specimen
in either carbon or formvar replicas.
the
appearance
of extrusions
when
viewed in the electron microscope, they must all be remarkably similar in thickness, and the 0.1 ,U upper thickness limit originally
estimated
by interferometry
is consistent with their transparency back ends of the extrusions similar to fractures thin aluminium These
torn
we have produced
foils
edges
stripping
to electrons.
were serrated in
by straining
in the electson
must
operation,
have
and
microscope.‘3)
occurred
this
The
manner
a
during
the
that
the
suggests
extrusions were still coherent with t’he crystal material when FIG. 1. Optical micrograph extrusion.
stripped.
and crystal
of & typical slip band x 1500
examination where
and transmitted their opacity
light.
Their
high reflectivity
and
suggested that they were metallic.
In order to understand
the extrusion
it
is important to know if the extrusion has been enriched with or depleted writing
of solute atoms, but at the time of
no satisfactory
method
of analysis has been
evolved.
We have, however,
structure
of the slip band extrusion
been able to study the by transmission
electron microscopy. Specimens solution
of
copper
alloy
were
heat treated at 52O”C, cold water quenched
FIG. 2.
Transmission
transmission
electron
micrograph
of slip band
continuity
the
edges
of
electron
between fatigue
Figs.
replica
of
showing
typical
of
fracture
2 and
micrographs
substructure
extrusion
by “fractographic” the
still adhere.
on a formvar
elongated
3 are
extrusion
a striated all
or
extrusions
examined. This structure seemed to be composed
of elongated
crystallites lying in a direction parallel to the slip band from which the extrusion
came.
No discrete disloca-
tions could be detected in these long parallel boundaries (indicated
aluminium44/,
of
extrusions
stripped
mechanism
This
has been confirmed
by arrow A, Fig. 3) although
boundaries resolved
extrusion
(indicated as
small
showing
cross linking
by arrow angle
elongated
H) were sometimes The dislocation arrays.
substructure.
x 12,000
LETTERS
FIG.
electron
TO THE
3. Transmission electron micrograph of slip band
diffraction
pattern
shown in Fig. 4 confirms
the presence of this substructure.
The long boundaries
813
EDITOR
extrusion
showing
caused complete
elongated
polygonization
It is known from observation in a few stress cycles
x 62,000
substructure.
(~10
to an equiaxed
form.
that extrusion occurs
cycles)
and as there are
were unusually straight and were not jogged by the cross linking boundaries. They were in all respects
about the same number of striations in the extrusions
similar in appearance
it is reasonable
but
prolonged
to large angle grain boundaries,
heating
in the
electron
microscope
to suppose that each striation
corre-
sponds to, and is the result of, one cycle of stress. is, however. the
difficult
boundaries
to ascertain
between
the elongated
They may be arrays of edge dislocations to the extrusion the extrusion polygonization process,
crystallites. lying parallel
surface with their Burger’s vector in
direction.
These could result from the
of buckles
or directly
illustrated
It
the true nature of
in Fig. 5.
from
formed
in the extrusion
sharply
kinked
bands
as
It can be seen that a kink band
would naturally form where the extrusion emerged from the crystal surface, during that part of the cycle
FIG. 4.
Electron
diffraction pattern from slip band extrusion (III).
Flc.
-5. Diagrammatic
representation process.
of extrusion
ACTA
814
METALLURGICA,
VOL.
8,
1960
Any mechanism
would have to take into account
the new observation
that
dislocation
arrays,
most
probably edge dislocations predominantly of one sign, exist in the extrusion. This is most likely to be the result of changing
frictional
forces
under extension
and closure of the surrounding crystal. It may be that reverse sliding occurs on the plane a-b and only in one direction
on the plane c-d.
in the reverse direction
across a-d acts as an obstacle. cohesion
is soon
lost
between
the
faces
two
Slip cannot occur
d-c because along
a-b,
will
the kink band
It is likely that true but
the
be greater
friction
under
the
closure half of the cycle than on the extending half. There is evidence that, as with silver chloride, extrusion
in aluminium-4%
leave behind a void.
copper
alloy
does not
It is likely that the extrusion-
crystal interface a-b nearest the specimen surface, i.e. the interface that forms an acute angle with the surFIG. 6. Transmission electron micrograph of slip band extrusion showing precipitation produced by heating x 8,000 in the electron beam.
face, loses cohesion and becomes a crack. This loss of cohesion could occur before the extrusion and be the cause rather than the effect. Prolonged
when two parts of the crystal
on each side of the
precipitation
heating
in the electron
of 6’ in about
caused and
extrusion were moving together in the directions x and y. We visualize that during this part of the cycle
form
sliding will occur along CA as indicated by the arrows,
manner.(‘)
but (1-h will be stuck.
the distribution
of solute had occurred
with fatigue
When the cycle reverses sliding will occur along n-h. and c-d will be stuck. If a kink band forms
stress it does not seem to have affected
the material
extruded.
during
changes
this half of the cycle,
i.e. when the crystal
surface is extended. it must be less heavily bent than its predecessor because a rolling up of the extrusion is always observed
as indicated
that edge dislocations
in Fig. 5. This suggests
of one sign predominate
in the
as appeared
beam
t,he same quantity
aluminium-4
rather
in thin foils of the homogeneous
“1; copper
on
the
Ministry
extrusions
was
remarkably
the
thickness
constant,
and
similar
structural interface
is eventually
ex-
very much
P. J. E. FORSPTH C. A. STUBBINGTON
of Aviation
Farnhorough, Hants.
of these in this
respect they are dissimilar to those observed in silver chloride(4) and in many metals. It seems that in copper-and we suspect in other aluminium-ii?;, aluminium alloys-the sliding involved in the extrusion process occurs on a relatively small number of slip planes. In many other cases slip is occurring on a more widely distributed series of planes. It is clear that reverse glide is the mechanism of extrusion, but it is diffirult to ascribe a particular dislocation It is certain that a gyrating screw mechanism. dislocation mechanism’@ is untenable in this case, nor can the mechanism of interfering planes be applicable.@)
a
more difficult, and illustrates in a striking manner how sharply confined to a few crystal planes the true
exist there are more closely spaced, and this results in the curling observed at the tips. that
that
If this is so it will make detection
fatigue damage may be.
stated
in
extrusion--crystal
than in the material
truded.
heated
It may be that the important occur
extrusion. This predomination of one sign becomes greater near the tip because the sub-boundaries that
It has been
alloy
This is shown in Fig. 6. If any change in
slip on different
References
1. P. J. E. FORSVTH and C. A. STUBBINGTON, Xature,
Land.
1’95. 767 (1955).
2. P. j. E. @OR&H and C. A. RTUBBIXW~ON, J. Inst. Met. 83, 395 (1954-.5.51. 3. R. N. WILSON and P. J. E. FORSYTH, J. Nci. Instmm., in press. 4. P. J. E. FORSYTH, Bull. Amer. Sot. Test. Mat. No. (June 1958). :5. N. F. MOTT, Actn Met. 6 (1958). 6. 9. H. COTTRELL and D. HULL, Proc. Roy. Sm. A242, (1957). 7. c. REAUVAIS, Mfaaus et Corros.406, 247 (1959). * Rereived
Febzwwy
237
2 11
26, 1960.
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