230
Direct
strip
casting
of
metals
and
alloys
4.0,----------------------,
(?
9 3 0
IJ
J:f.I
..
........
. Steel
......
0
...
~
l:/:>
....
C::::::
r
......
·..
Titanium
~
~~~~T~
.!:
2.0
L .......
~........
v
0...
0
~
......
..
~
Copper
'0
Zinc
Brass
~
Aluminium
c::
1.0
:;:;
'E
:::i
O~~I----~I--~I----~I------~I-----I~--~I~
0.2
0.4
0.6
1.0 2.0 4.0 6.0
Normal anisotropy (f)
Figure 6.29. Relationship between normal anisotropy,
r,
and
limiting drawing ratio,
LDR,
for a wide range of sheet metals, after Atkinson (1967).
6.7.1.3
Relationship
between
microstructure,
texture
and
formability
From a fundamental viewpoint, good deep drawability requires a
high
r -value
(Eq.
6.6); a parameter intimately associated
with
grains oriented such that
certain crystallographic directions
«111> in cubic metals) are aligned
perpendicular to the plane of the sheet. However, low planar anisotropy is also
important, which requires that the grains also
be
randomly oriented
in
the
plane of the sheet.
The preferred orientation of grains in cubic metals that leads to high normal
anisotropy is usually termed the <111>//NO
or
r-fibre
(§B.3.3),
and
the
production of this texture,
and
therefore highly formable sheet products, is a
major aim of industrial steel processing (Ray
et
al.
1994). Since good drawability
of cubic metals is associated with <111>//NO textures and poor drawability with
<OOI>//NO
textures (Hutchinson
1984),
the ratio of the intensities of the
111
and
200 X-ray reflections from a rolling plane specimen
(1111
/1
200
)
is a useful measure
of formability and it correlates very well with
r (Figure 6.30).
As indicated in §6.6.3, the cold rolling
and
annealing textures that develop
in
metals are affected
by
a host of parameters relating to the material itself
and
the
entire processing history.
It
is the combination of these parameters which
ensures that any particular material will possess the final microstructure
and
texture for superior formability. Table 6.3 provides
data
of formability
parameters
(n,
r, f:"r,
LOR
& % Earing) for a range of strip-cast aluminium and
iron alloys; the range is restricted since reliable
data
is
not
openly available for
other materials. In general, the
r -values for iron alloys are low and less than