DRAWING PRACTICE .1 Defects During Deep Drawing
Various Forming
Processes
93
Fig. 7.10
Schematic illustration of segmented punch.
A
method of enlarging portions of a drawn shell in a press is shown in Fig. 7.1 1. The value of the
expanding ratio
=
Dd is dependent on the kind and heat-treatment condition of the material and the rel- ative thickness of the material
Some values of are given in Table 7.2. The thickness of the material at the deformation zone
of the workpiece is reduced by the expansion operation and is given by the formula:
=
e
where:
T
=
thickness of the material before expanding T
=
thickness of the material in the deformation zone D
=
main diameter of workpiece before and after expanding.
Punch
\
F Die
7.12
Fig.
Expanding a drawn shell with a punch.
94 Various
Forming Processes
Low-carbon steel Aluminum and
copper
Table 7.2 Values of expanding ratio K for
a drawn shell.
0.45 to 0.35 0.32 to 0.28
Annealed Hard
Annealed Hard
1.20 1.10
1.15 1.25
1.20 1.20
1.15 MATERIAL
Material thickness Relative thickness of material
Die corner radius mm
4 to 2 to 3T
The punch force can be calculated by the formula:
where:
=
for
E
=
0 and
=
main deformation impedance.
k
= =
0.5
+
k ,
I
k ,
=
for
E
=
d
7.4
DIMPLING
Dimpling is the process of bending and stretching flanging the inner edges of sheet metal components
Fig. 7.12. A hole is drilled or punched and the surrounding metal is expanded into a flange. Sometimes
a shaped punch pierces the sheet metal and is expanded into the hole. Stretching of the metal around the hole subjects the edges to high tensile strains, which could lead to cracking and tearing. As the ratio of
flange diameter to hole diameter increases, the strain increases proportionately. The diameter of the hole may be calculated by the formula:
d
=
D
- -
-
where: d hole diameter before dimpling,
=
height of flange,
=
die corner radius Table 7.3.
T
=
material thickness.
Table 7.3 Values of die corner radius Rm, for dimpling
7.13
Various Forming Processes
95
Final
T
Phase
Fig. 7.12
Phases in the dimpling process.
The height of the flange is given by the formula:
D - d 2
+
+
7.14 The punch force is given by:
F
=
D
-
d
7.15
The thickness of the material at the end of the flange is reduced by the stretching of the material. The min- imum thickness of cylindrical flanges is given by the formula:
7.16 In the dimpling process, the ratio of the hole diameter to the flange diameter is very important and
is
given by the formula:
d D
The value of m is given in Table 7.4. 7.17
96
Process used in making hole:
Drilling Punching
Various Forming Processes
Relative thickness of material
x
100 2
3 5
8 10
15 20
30 70
0.75 0.57
0.48 0.41
0.40 0.34