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This article was downloaded by: [University of California Davis]On: 10 November 2014, At: 11:16Publisher: Taylor & FrancisInforma Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House,37-41 Mortimer Street, London W1T 3JH, UK
Quality EngineeringPublication details, including instructions for authors and subscription information:http://www.tandfonline.com/loi/lqen20
Relationships Between Blanking Force and PartGeometry vs. Clearance, Tool Wear, and SheetThicknessR. Hambli a , S. Kobi a , F. Guerin a & B. Dumon aa ISTIA–LASQUO , 62, Avenue Notre Dame du Lac, Angers, 49000, FrancePublished online: 16 Aug 2006.
To cite this article: R. Hambli , S. Kobi , F. Guerin & B. Dumon (2002) Relationships Between Blanking Force and PartGeometry vs. Clearance, Tool Wear, and Sheet Thickness, Quality Engineering, 15:2, 197-207, DOI: 10.1081/QEN-120015852
To link to this article: http://dx.doi.org/10.1081/QEN-120015852
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Relationships Between Blanking Forceand Part Geometry vs. Clearance, ToolWear, and Sheet Thickness
R. Hambli,* S. Kobi, F. Guerin, and B. Dumon
ISTIA–LASQUO, 62, Avenue Notre Dame du Lac, Angers 49000, France
ABSTRACT
The blanking of metal parts for electronic components is subjected to a variety of
process parameters. In this paper, an experimental investigation into the blanking
process was carried out using tools with four different wear states and four different
clearances. The aim was to study the effects of the interaction between the
clearance, the wear state of the tool, and the sheet metal thickness on the evolution
of the blanking force and the geometry of the sheared profile.
Designed experiments are an efficient and cost-effective way to model and
analyze the relationships that describe process variations.
The results of the proposed experimental investigation show the strong
dependence between the geometrical quality of the blanked part and the magnitude
of the force applied on the tool as well as the variations in the process factors.
Key Words: Metal blanking process; Design of experiments; Response surface;
Tool wear; Clearance; Sheet thickness
INTRODUCTION
The increasing miniaturization of products of fine
mechanics in medical technology field, sensors,
actuators, integrated circuits, and electronic components
makes it necessary to manufacture parts with a high
quality level. The forming of such products requires
maximum accuracy and optimal manufacturing design.
Sheet metal cutting process of thin components using
both a punch and a die (Fig. 3), is one of the most
frequently used processes in industry.[1] Dependent on
the position of the sheared surface with respect to
197
DOI: 10.1081/QEN-120015852 0898-2112 (Print); 1532-4222 (Online)
Copyright q 2002 by Marcel Dekker, Inc. www.dekker.com
*Corresponding author. E-mail: [email protected]
QUALITY ENGINEERINGVol. 15, No. 2, pp. 197–207, 2002–03
©2002 Marcel Dekker, Inc. All rights reserved. This material may not be used or reproduced in any form without the express written permission of Marcel Dekker, Inc.
MARCEL DEKKER, INC. • 270 MADISON AVENUE • NEW YORK, NY 10016
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the workpiece coordinates, various shearing processes
are used such as blanking, piercing, and cutting.[1 – 3]
Unlike other operations, such as stamping and bending
where the aim is to plastically deform the sheet, these
operations lead to the total rupture of the metal.[4,5] As
the process is performed on material whose behavior is
nonlinear, it is submitted to complex strain and stress
states.[1,6] Before complete rupture, the material is
subjected to some phenomena of damage and crack
propagation caused by the punch penetration.
Various experimental studies carried out covering this
subject have shown that optimal choice of process
parameter is crucial in:
. avoiding, in certain cases, additional operations
such as removal of burrs to improve the geometri-
cal quality of the sheared edge,[5]
. increasing the fatigue life of the parts in service, as
shown by Lambert et al.,[7] and
. increasing the fatigue life of the tool.[8,9]
The blanking of thin metal parts is subjected to a
variety of process parameters. Material properties and
the process factors affect the quality of the blanked part.
The main objectives of the process design in metal
blanking is to choose the important process parameters in
an optimal way that ensures a high quality part.
Engineers are often required to examine the process
parameters in order to optimize production.
Review of the most recent studies in the field of
manufacturing processes[10,11] shows that, despite the
progress in blanking analysis, there is still a lack of models
allowing the optimal design of sheet metal shearing
processes. Currently, correct parameter choice for a new
product manufactured by sheet metal blanking is deter-
mined empirically by a large number of expensive tests.
The clearance, the wear state of tool, and the thickness
of the sheet are the major factors determining the shape
and the quality of the workpiece.[5,10,12] The blanking has
a large number of inputs. Each of these inputs has an
associated variation, which leads to the variation in the
final part.[5,13,14]
Due to the large number of controllable and
uncontrollable inputs, associated variations, and relation-
ship between stress and strain in metal forming, the
blanking system behaves in a manner similar to a
deterministic chaotic system. To understand this system
fully and control the output through the control of the
inputs is difficult if not intractable at present.
A more effective method of controlling the output is
to understand the input variation more thoroughly and
account for this in defining the operating point to ensure
robustness to this identified variation.
An operation window in sheet metal forming is an
area in the input space which corresponds to the produc-
tion of a good part. The size of the operating window
corresponds to the sensitivity of the part quality to
variation in the input parameters. With an understanding
of the process and associated variation the most robust
operating point within this window can be identified.
In production, this can be very difficult to identify
fully the variation in a part produced since a large
number of experiments need to be performed. This
increases both the costs and the associated lead times.
Therefore, there is a need to identify this operating
variation and an associated robust operating point in the
shortest period of time at a low cost.
DESIGN OF EXPERIMENTS
The accuracy of workpieces can be characterized by
the following errors: dimensional error, positional error,
and form error (Fig. 1).
The errors on blanks are influenced by material, the
tool shape, process variations, and the machine. The form
errors represented in Fig. 2 are connected to the geometry
of the sheared edge such as the rollover depth, the
fracture depth, the smooth-sheared depth, the burr forma-
tion, and the fracture angle.
Various experimental studies[5,6,8] showed that, for a
given material, the blanking force F and the depth
characteristics of the blanked profile (Fig. 2) are affected
by the blanking clearance, the wear state of the tool, and
the thickness of the sheet.
Influence of Blanking Clearance
In blanking processes, the clearance (Fig. 3) expressed
in percent of the sheet thickness, is defined by:
c ¼ 100Dd 2 Dp
tð%Þ ð1Þ
Figure 1. Factors affecting errors on blanked workpieces.
Hambli et al.198
©2002 Marcel Dekker, Inc. All rights reserved. This material may not be used or reproduced in any form without the express written permission of Marcel Dekker, Inc.
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where Dd, Dp, and t are the die diameter, the punch
diameter, and the sheet thickness, respectively.
It was established by various authors[3 – 5,12] that the
mechanical and geometrical aspects of the sheared edge
during the blanking operation depend mainly on the
clearance c between the punch and the die (Fig. 3). There-
fore, in order to study the influence of this design parame-
ter, four tools have been designed corresponding to four
different clearances, 5, 10, 15, and 20%. These values
correspond to the most used clearances in the industries.
Influence of the Tool Wear
The design of the tool is one of the main features in
the industrial process. Therefore, it is necessary to study
the effects of the tool wear on the blanking force and the
sheared profiles’ variations. The quality of the workpiece
is governed by the state of the worn tool.[5,8]
Wear is defined as a slow degradation of the blanking
tool caused by friction involved between the tool and
sheet metal. The rate of wear is affected by parameters
such as tool material, blanked part material, punch–die
clearance, punch velocity, lubrication, and material
thickness. Generally, wear takes place on the external
surface of the tool. It causes the cutting edges to be
rounded (Fig. 4). Therefore the influence of the tool wear
can be accounted for by changing the values of the edge
radii Rwp and Rwd (Fig. 4).
Experimental investigation into the blanking process
was carried out using punches with different wear states.
The aim was to define the relationship between part
geometry and the blanking force vs. the tool wear
evolution.
Four wear states of the tool were chosen correspond-
ing to:
. One new die with Rwd ¼ 0:01 mm:
. Four punches with different edge radii Rwp ¼
{0:01; 0:06; 0:12; 0:2} mm:
Influence of the Sheet Thickness
For a given material, the energy requirement in
blanking is influenced by the sheet thickness. It has been
observed that:
Figure 2. Geometry of the sheared workpiece.
Figure 3. Illustration of the punch and die clearance. Figure 4. Wear profile of the cutting edges of the tool.
Blanking Force and Part Geometry 199
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. The blanking energy decreases with increasing
clearance-to-sheet thickness ratio c/t and increases
with increasing sheet thickness.[1,5]
. The proportions of the different depth character-
istics of the sheared profile are affected by the
thickness.[3 – 5]
To study the effects of the interaction between
the clearance, the wear state of the tool, and the
sheet thickness, a series of experiments have been
carried out with two thickness values equal to 1.5 and
3 mm.
Design Factors
A full factorial experiment was designed for three
control variables: clearance (4 levels), wear state of the
punch (4 levels), and sheet thickness (2 levels). Table 1
produced 32 experiments to study the effect of each
variable and the interactions between them.
Table 1
Experimental Design
Variables
Experimental
Point
Clearance
(%)
Wear Radius (mm)
(Only for the Punch)
Thickness
(mm)
1 5 0.01 3
2 5 0.01 1.5
3 5 0.06 3
4 5 0.06 1.5
5 5 0.12 3
6 5 0.12 1.5
7 5 0.2 3
8 5 0.2 1.5
9 10 0.01 3
10 10 0.01 1.5
11 10 0.06 3
12 10 0.06 1.5
13 10 0.12 3
14 10 0.12 1.5
15 10 0.2 3
16 10 0.2 1.5
17 15 0.01 3
18 15 0.01 1.5
19 15 0.06 3
20 15 0.06 1.5
21 15 0.12 3
22 15 0.12 1.5
23 15 0.2 3
24 15 0.2 1.5
25 20 0.01 3
26 20 0.01 1.5
27 20 0.06 3
28 20 0.06 1.5
29 20 0.12 3
30 20 0.12 1.5
31 20 0.2 3
32 20 0.2 1.5
Hambli et al.200
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EXPERIMENTAL PROCEDURE
Experiments using devices equipped with force
transducers were performed by a 4000 kN hydraulic
press (Fig. 5). The process studied here consists of an
axisymmetric blanking operation of a metal sheet with
1.5 and 3 mm thickness. The geometrical data are shown
in Fig. 6. Carbon steel (0.6% C), was blanked using a
40 mm diameter die and a range of punch–die clearances
from 5 to 20%. Punches were of edge radii in the range
0.01–0.2 mm and one die with edge radius equal to
0.01 mm.
RESULTS
Table 2 contains results for the blanking force, the
fracture angle, and the fracture zone depth obtained for
the 32 experimental conditions. In this article, a design
of experiments is used for modeling and analyzing
the response of interest that is influenced by several
variables.
We need to address the following three distinct issues.
1. Optimizing these three responses or at least
finding the best compromise according to one’s
preferences.
2. Finding a clearance setting that is robust to wear
and to variations in sheet thickness, considering
that during production, wear and thickness are
difficult-to-control noise factors.
3. Identifying a model that is valid even when the
sheet thickness is modified, considering that sheet
thickness is a “block” factor.
The interactions between controllable factors (clear-
ance) and noise factors (wear and thickness) are useful to
reduce the influence of the noise factors and thereby to
“robustize” the process against variations in tool wear
and sheet thickness. However, if the objective is to find a
model that is valid even when the sheet thickness value is
changed, then it is preferable not to have interactions
between thickness and the other factors. It is often
assumed that block factors (such as thickness) do not
interact with the other factors; otherwise, the model is
modified according to the block factor setting. The
thickness main effect is not important in itself; what is
important is to identify the optimal clearance setting and
the tool wear states that are not too detrimental to the
process, whatever the sheet thickness.
Assuming that there is, most of all, a need for models
that are robust to differences in sheet thickness (sheet
thickness is considered to be a block factor) then, based
on the experimental results, three models may be
elaborated allowing for the analysis of the clearance
effect and the tool wear effect on fracture depth, fracture
angle, and maximum blanking force.
For each sheet metal thickness, the response surface F
describing effects of x1 and x2 can be expressed by:
y ¼ F ðx1; x2Þ þ 1 ð2Þ
where 1 represents experimental errors. F (x1, x2) re-
presents the hypothetical value of the response y that
would be obtained in the absence of experimental error.
x1 and x2 are the design variables that correspond to the
wear radius of the cutting edge of the tool and the
clearance.
Figure 7a and b are response-surface graphs showing
the effects of both tool wear and clearance on the
blanking force variation for two thicknesses, 3 and
1.5 mm. The figure clearly shows that for small clear-
ances less than 10%, the blanking force is quite high and
the minimal force value corresponds to a clearance of
10%. It can be shown that, starting from this optimal
value, increasing the clearance increases force variation.
Figure 6. Axisymmetric model of blanking operation.
Figure 5. Schematic illustration of the testing device.
Blanking Force and Part Geometry 201
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The relationship describing the blanking force
variation can be written in the following form:
F ¼ ð0:3c2 2 3:93cÞ þ ½22860ðRwpÞ3
þ 940ðRwpÞ2 2 14Rwp� þ 60t 1:27 ð3Þ
By comparing Fig. 7a and b, we can see the interaction
effects of decreasing the sheet thickness by 1/2. It is
important to note that the response surface has the same
shape and that the average force of blanking is reduced by
a factor of 2.4. It can be observed that the blanking force
increases with increasing wear as a result of increased
punch penetration until the final rupture of the sheet.
The relationship between the fracture angle and the
clearance, tool wear, and sheet thickness is shown in
Fig. 8. It may be noted that increase in clearance
increases significantly the fracture angle b as a conseque-
nce of the increasing of the punch penetration correspond-
ing to cracks formation into the sheet. Both responses
show that the tool wear radius has a little influence on the
variation of b. The comparison between the two curves
Table 2
Design Points Effects
Variables
Experimental
Point
Clearance
c (%)
Wear Radius of the
Punch Rwp (mm)
Thickness
t (mm)
Blanking Force
F (kN)
Fracture Angle
b (8)
Fracture Depth
Har (%)
1 5 0.01 3 234 3.898 73.5
2 5 0.01 1.5 98 3.94 72.7
3 5 0.06 3 235 4.12 69.5
4 5 0.06 1.5 98.5 4.421 64.8
5 5 0.12 3 240 4.421 64.8
6 5 0.12 1.5 100.5 5.180 55.3
7 5 0.2 3 245 4.899 58.5
8 5 0.2 1.5 102.5 6.715 42.7
9 10 0.01 3 231 7.737 74.1
10 10 0.01 1.5 97 7.761 73.8
11 10 0.06 3 233 7.858 72.9
12 10 0.06 1.5 97.5 8.009 71.5
13 10 0.12 3 235 8.009 71.5
14 10 0.12 1.5 98.5 8.328 68.8
15 10 0.2 3 240 8.219 69.7
16 10 0.2 1.5 100.5 8.796 65.1
17 15 0.01 3 233 11.576 74.2
18 15 0.01 1.5 97.5 11.583 74.2
19 15 0.06 3 235 11.609 74
20 15 0.06 1.5 98.5 11.648 73.8
21 15 0.12 3 240 11.648 73.8
22 15 0.12 1.5 100 11.726 73.3
23 15 0.2 3 245 11.7 73.5
24 15 0.2 1.5 102.5 11.833 72.6
25 20 0.01 3 235 15.416 74.3
26 20 0.01 1.5 98.5 15.405 74.4
27 20 0.06 3 235 15.362 74.6
28 20 0.06 1.5 98.5 15.297 74.9
29 20 0.12 3 242 15.297 74.9
30 20 0.12 1.5 101.5 15.170 75.5
31 20 0.2 3 247 15.212 75.3
32 20 0.2 1.5 103.5 15.003 76.4
Hambli et al.202
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shows that there is no influence of the sheet thickness on
the fracture angle evolution.
In this article, based on a theoretical investigation of
the blanking process developed in a previous work,[5] a
mathematical investigation on the fracture angle, makes
it possible to express b evolution as:
b ¼c
1 þRwp
t2 ad bd þ
Rwp
0:01tc
� � ð4Þ
where ad and bd are two material coefficients
characterizing the blanked material ductility. In the
case of a 0.6% carbon steel, these coefficients are: ad ¼
0:1686 and bd ¼ 1:5255:The 3D response surface graph of Fig. 9 presents the
interaction effects on the fracture zone depth variation.
The proportion of the fractured area increases with
increasing clearance and decreases with increasing wear.
The flatter response surface (Fig. 9a) means that fracture
depth is less sensitive to variation in tool wear and
clearance for a thicker sheet metal.
The mathematical relationship describing the fracture
zone depth response surface can be written in the
following form:
Har ¼ 1 þRwp
t2 ad bd þ
Rwp
0:01tc
� �ð5Þ
Analysis of Variance
When mixed-level designs (in which not all factors
have the same number of levels) are performed, the
analysis of variance (ANOVA) method cannot be used.
This is because the variance of the factor effect estimates
differs according to the number of levels; the smaller the
number of factor levels, the greater the accuracy of the
factor effect estimates. Using the ANOVA method to
discriminate between statistically significant effects and
effects that are not significant becomes quite complex.
Since the ANOVA method cannot be used, identifying
the “real” effects from those that are due only to
experimental errors may be somewhat subjective.
Factor Effects on the Blanking Force
The average blanking force when all the tests are
considered is 168.70 kN. Table 3 indicates the differ-
ences between the general mean and the mean at each
factor level. To minimize the blanking force, the cleara-
nce should be set at 10% so that the average blanking
force is decreased by 2.14 kN (see Table 3 and Fig. 7).
Sheet thickness and tool wear can be considered as noise
factors, since they are difficult to control during normal
production. Tools wear out and different types of sheets
need to be processed. It can be observed that the blanking
force increases with increasing wear as a result
of increased punch penetration until the final rupture of
the sheet. That increase is more noticeable for wear
radius values that are between 0.06 and 0.12 mm (see
Table 3). Suppose that the clearance is set at 10% to
minimize the amount of blanking force, as the tools wear
out the amount of force would need to be increased.
However, we also need to consider the interactions
between clearance and tool wear, since the clearance and
tool wear effects cannot be strictly added. When the
clearance is set at 10%, the tool wear effect is slightly
reduced—at lower wear radius values the amount of
blanking force is slightly greater than when the clearance
Figure 7. Blanking force evolution vs. clearance and wear tool variation.
Blanking Force and Part Geometry 203
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and tool wear effects are added to one another; whereas
at larger tool wear values, the amount of blanking force is
slightly lower than anticipated when the interaction
effects are not accounted for (see Table 4). In other
words, when the clearance is set at 10%, the process is
more robust to variations in the degree of tool wear. When
the thickness is increased from 1.5 to 3 mm, a much
greater amount of blanking force is required (þ69.1 kN).
Due to clearance by thickness interactions, the effect
of thickness is slightly smaller when the clearance is set
at 10% and due to tool wear by thickness interactions, the
influence of thickness is slightly reduced at lower values
of tool wear (see Table 5). A clearance of 10% does not
only allow for a minimization in the blanking force, it is
also more robust against both the amount of tool wear
and the amount of sheet thickness.
Factor Effects on the Fracture Angle
The clearance effect on the fracture angle evolution is
very significant and almost linear (see Table 6 and
Fig. 8). Increasing punch penetration causes crack
formations in the sheet. The fracture angle evolution is
also increased at higher levels of tool wear but that effect
is barely noticeable when compared to the clearance
effect. The fracture angle is slightly smaller when the
thickness increases, again this is a very minor effect
compared to the clearance effect.
To study the clearance by wear radius interaction,
no less than 16 levels (and nine degrees of freedom)
are required. Note that the degree of precision on the
factor effects decreases when the number of levels
increases. Because the interaction effects are so small
Figure 8. Fracture angle evolution vs. clearance and wear tool variation.
Figure 9. Fracture depth evolution vs. clearance and wear tool variation.
Hambli et al.204
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(see Tables 8 and 9) compared to the clearance effect
and their degree of precision is not high, it was decided
not to study these interactions.
Factor Effects on the Fracture Depth
The average fracture depth is 68.28% when all tests
are considered. The clearance effect on fracture depth is
nonlinear (see Table 10 and Fig. 9), the response reaches
a maximum when the clearance is set at 15%
(þ5.45% over the general mean). The wear radius also
has a strongly nonlinear effect; as it increases the
fracture depth decreases, that decrease is rather slow
between 0.01 and 0.12 mm wear radius values. However,
for a wear radius of 0.2 mm, the response drops
dramatically (210.34% below the general mean).
Interestingly when the clearance is set at 10 or 15%,
the wear radius effect is considerably reduced, whereas
for a 20% clearance, the wear radius effect is greatly
reinforced.
For thicker 3 mm sheets, the amount of fracture
depth is increased (þ3.57%). Due to thickness by
clearance and thickness by wear radius interactions, for
thicker 3 mm sheets, the clearance and wear radius
effects are reduced. However, for thinner 1.5 mm
sheets, the clearance and wear radius effects are
reinforced (Table 11).
CONCLUSION
The experimental investigation of the sheet metal
blanking process makes it possible to study the effects of
the interaction between the wear state of the tool, the
punch–die clearance value, and the thickness of the sheet
on the blanking force and the geometry of the sheared
edge.
Table 4
Clearance by Wear Radius Interaction
Interactions
Clearance
Level
Wear Radius
Level
Clear £
Wear
1 1 0.015625
2 20.109375
3 0.078125
4 0.015625
2 1 0.640625
2 1.015625
3 20.796875
4 20.859375
3 1 20.484375
2 0.140625
3 0.078125
4 0.265625
4 1 20.171875
2 21.046875
3 0.640625
4 0.578125
Table 5
Clearance by Thickness and Wear Radius by Thickness
Interactions
Clearance
Level
Thick £
Clear
Wear
Radius
Thick £
Wear
1 0.203125 1 21.359375
2 20.921875 2 20.984375
3 0.203125 3 0.453125
4 0.515625 4 1.890625
Table 6
Main Effects Fracture Angle Response
Factors
Levels Clearance Wear Radius Thickness
1 25.231875 20.297096429 0.1198125
2 21.8415 20.1828125 20.1198125
3 1.73425 0.089375
4 5.339125 0.348146341
Table 3
Main Effects Blanking Force Response
Factors
Levels Clearance Wear Radius Rwp Thickness
1 0.484375 23.569196429 269.109375
2 22.140625 23.0265625 69.109375
3 0.234375 2.1328125
4 1.421875 4.32507622
Blanking Force and Part Geometry 205
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The design of experiments method used for modeling
the response surfaces of interest makes it possible for a
better understanding of the blanking manufacturing
process. The behavior of each measured response is
described by a deterministic relationship between
the response and both factors, clearance and wear state
of the tool, for each sheet metal thickness. Therefore, it is
possible to determine the best conditions of the factors to
optimize a desired output.
The process signatures indicate that the maximum
shearing force, the fracture angle, and the fractured
surface depth are influenced by the material condition as
well as the geometric characteristics of the tools and their
configuration. The analysis of the tool wear influence
allows for the monitoring of the blanking operation and,
thus, the parts quality variations during the forming
process may be predicted.
This investigation shows that in order to minimize the
blanking force, the clearance should be set at 10%.
However, to minimize the fracture angle and the fracture
depth, it is preferable to set the clearance at 5%. When
clearance is set at a 10% value, the process is slightly
more robust to tool wear as far as the blanking force
response is considered and it is considerably more robust
(almost insensitive) to tool wear and sheet thickness as
Table 7
Clearance by Wear Radius Interaction
Interactions
Clearance
Level
Wear Radius
Level
Clear £
Wear
1 1 20.513625
2 20.288125
3 0.06
4 0.74175
2 1 20,074
2 20.0155
3 0.037625
4 0.051875
3 1 0.18075
2 0.10375
3 20.019625
4 20.264875
4 1 0.406875
2 0.199875
3 20.078
4 20.52875
Table 8
Clearance by Thickness and Wear Radius by Thickness
Interactions
Clearance
Level
Thick £
Clear
Wear
Radius
Thick £
Wear
1 20.2449375 1 0.1120625
2 20.0140625 2 0.0665625
3 0.0876875 3 20.0088125
4 0.1713125 4 20.1698125
Table 9
Main Effects Fracture Depth Response
Factors
Levels Clearance Wear Radius Rwp Thickness
1 25.559375 6.299196429 23.578125
2 2.640625 4.8790625 3.578125
3 5.453125 3.175520833
4 22.534375 210.34153963
Table 10
Clearance by Wear Radius Interaction
Interactions
Clearance
Level
Wear Radius
Level
Clear £
Wear
1 1 4.721875
2 0.671875
3 24.140625
4 21.253125
2 1 22.628125
2 22.478125
3 22.240625
4 7.346875
3 1 25.190625
2 23.590625
3 21.803125
4 10.584375
4 1 3.096875
2 5.396875
3 8.184375
4 216.678125
Hambli et al.206
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far as the fracture depth response is considered. Whether
clearance should be set at 5 or 10% ultimately depends
on the priorities of the practitioners.
As a conclusion drawn from the proposed investi-
gation, it is possible to optimize sheet metal blanking
process by a proper selection of the clearance.
ABOUT THE AUTHORS
R. Hambli is an associate professor at the University
of Angers (ISTIA). He has been involved in several
research and development projects in optimization of
metal-forming processes areas, Reliability-Based finite
element analysis, and damage mechanics. He is an active
reviewer for three international journals.
S. Kobi is an associate professor at the University of
Angers (ISTIA). His fields of interest include process
diagnosis, statistical process control (SPC), and design of
experiments (DOE).
F. Guerin is an associate professor at the University of
Angers (ISTIA). He has completed extensive research in
reliability in mechanics and accelerated testing areas.
B. Dumon is a professor at the University of Angers
(ISTIA). He is the Head of LASQUO Laboratory. He is
also a member of IEEE and ASQ American societies. He
is currently manager of projects in the areas of reliability
and Bayesian methods.
REFERENCES
1. Lange, K. Handbook of Metal Forming; McGraw-Hill
Book Company: New York, 1985.
2. Osaki, T.; Yamasaki, S.S. Effect of the Geometry of
Cutting Edge of Tool in Blanking Process and Punching.
Mem. Fac. Eng., Kyushu Univ. 1984, 38 (4), 371–395.
3. Kalpakjian, S. Manufacturing Processes for Engineering
Materials, 2nd Ed.; Addison Wesley Publishing Com-
pany: Reading, MA, 1991.
4. Chang, T.M. Shearing of Metal Blank. J. Inst. Met. 1951,
78, 393–414.
5. Hambli, R. Etude Experimentale, Numerique et Theori-
que du Decoupage des Toles en Vue de l’Optimisation du
Procede. These de Doctorat, ENSAM d’Angers, 1996.
6. Maillard, A. Etude Experimentale et Theorique du
Decoupage. These de Doctorat, Universite Technologique
de Compiegne, 1996.
7. Lambert, Y.; Bignonnet, A.; Roesch, L. Prevision, du
Comportement en Fatigue de Structures Minces en Aciers
a Haute Resistance Dual-Phase et Microallies. Mem.
Etudes Sci. Rev. Metall. 1991, 12, 209–225.
8. Grosset, E.; Maillard, A.; Turbat, A. Usure en Decoupage,
CETIM 1987, Rapport No. 101580.
9. Grosset, E.; Peyre, P.; Cherry, P.; Gasnier, J.; Tournier,
C. Les depots PVD et CVD en Poinconnage et Relevage
de Collerette, CETIM 1989, Informations No. 111,
55–61.
10. Proceedings of the 7th International Conference on Sheet
Metal (SheMet’99), Erlangen, Germany, Sept 25–28,
1999.
11. Proceedings of the 8th International Conference on Sheet
Metal (SheMet’2000), Birmingham, UK, April 17–18,
2000.
12. Jana, S.; Ong, N.S. Effect of Punch Clearance in the High-
Speed Blanking of the Thick Metal Using an Accelerator
for Mechanical Press. J. Mech. Working Technol. 1989,
19, 55–72.
13. Kasuga, Y.; Tsu Tsumi, S.; Mori, T. Investigation into
Shearing Process of Ductile Sheet Metals. Mem. Fac.
Eng. Nagoya Univ., Jpn 1979, 1–46.
14. Osaki, T.; Yoshikai, T. Effect of Profile in Basal Section
in Shearing Proces. Mem. Fac. Eng., Kyushu Univ. 1978,
38 (3), 249–273.
Table 11
Clearance by Thickness and Wear Radius by Thickness
Interactions
Clearance
Level
Thick £
Clear
Wear
Radius
Thick £
Wear
1 0.271875 1 23.465625
2 22.453125 2 22.790625
3 23.790625 3 22.053125
4 5.971875 4 8.309375
Blanking Force and Part Geometry 207
©2002 Marcel Dekker, Inc. All rights reserved. This material may not be used or reproduced in any form without the express written permission of Marcel Dekker, Inc.
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