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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 196
COMPARATIVE STUDIES ON FORMABILITY ANALYSIS IN METAL
FORMING
U.V.Mangudkar1
, S.P.Mankani2
1
PG Student, WIT,Solapur, Maharashtra
2
Professor of Mechanical Engineering WIT,Solapur
Abstract
Sheet metal products are one of the most important semi-finished products used in the steel industry, and metal forming technology is
therefore an important engineering domain. The development of new sheet metal forming processes, tooling and so on, has until now,
to a large extent been based on experience, rules of thumb and trial- error experiments without or with only little use of scientifically
based engineering methods. As mentioned above, experience is not enough, and trial-error experiments are expensive with regard to
both money and time. The forming limit diagram (FLD) shows metal formability in metal forming with less cost. . The forming limit
diagram typically represents the maximum permissible range of major and minor strains that a typical sheet material can undertake
without failure. The forming limit diagram is experimentally measured for each sheet material by placing a grid of circle on the sheet
sample and then deforming the same. A comparison of the original and the extensions in the marked grids on the sheet sample provide
an estimate of the major and minor strain of the sample. This paper presents a case study of automotive component spring seat. By
placing the grid of circles on the component and by measuring the dimensions of deformed circles a forming limit diagram has drawn.
The simulations were carried out by fast form advanced software. The results achieved concluded that, safe forming zone is of bottom
part and wrinkling tendency is present on side wall of component.
Keywords: Forming, Forming limit diagram, Major strain, Minor strain, Safe zone, wrinkling.
-----------------------------------------------------------------------***----------------------------------------------------------------------
1.INTRODUCTION
The forming of metals into desired shapes is almost the oldest
fabricating technique. Metal forming is an economical method
of manufacturing components because loss of material is too
less. It is a process in which the desired shapes and size of
components are obtained through the plastic deformation of
metal. Sheet metals are widely used for industrial and
consumer parts because of its capacity for being bent and
formed into intricate shapes. Sheet metal parts comprise a
large fraction of automotive, agricultural machinery, and
aircraft components as well as consumer appliances.
2. FORMING PROCESSES
A numbers of sheet metal forming processes are available
such as
Shearing
Bending
Deep Drawing
Stretch forming
Stretch drawing
Press forming
Hydroforming
Each process is used for specific purpose and the requisite
shape of the final product.
2.1 Deep Drawing
Deep drawing is a sheet metal forming process in which a
sheet metal blank is radially drawn into a forming die by the
mechanical action of a punch. It is thus a shape transformation
process with material retention. The process is considered
"deep" drawing when the depth of the drawn part exceeds its
diameter. This can be achieved by redrawing the part through
a series of dies.
Fig 1: Tooling for deep drawing
3. DEFECTS FOR DEEP DRAWING PROCESS
The deep drawing process is applied with the intention of
manufacturing a product with a desired shape and no failures.
The tools, the blank and the process parameters define deep
drawing final product shape. An incorrect design of the tools
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 197
and blank shape or an incorrect choice of material and process
parameters can yield a product with a deviating shape or with
failures. In the deep drawing the most common defects are
presented in figure 2. In figure 2, the notations are: 1.flange
undulation; 2.side undulation; 3.piece wrinkling; 4.circular
traces; 5.scratches; 6.orange peel; 7.Luders bands; 8.cracking
of piece flange or piece bottom; 9.edges cracking;
10.misalignment; 11.Contour misalignment; 12.Festoons;
13.delaminations; 14.edge festoons .
Fig.2: Defects in deep drawing
4. EXPERIMENTAL ANALYSIS
4.1 Introduction
The forming limit diagram (FLD) (Fig3) gives an indication
whether the material can sustain certain ratio of strains without
failing is of great help. Keeler [1] pioneered the application of
forming limit diagrams (FLD) for accessing the formability of
sheet metal.
Fig-3: Forming limit diagram
Many researchers have tried to determine the FLD diagrams
for different sheet metals commonly used in forming
operations either experimentally or theoretically. The
experimental method consists of printing a grid pattern of
circles of appropriate diameter (generally 2 mm to 4 mm) on
the surface of sheet. The sheet is deformed as required but in
stages. After each stage the grid pattern is examined.The
advantage of printing circular grids is that during the
deformation the circles will get deformed into ellipse with
major and minor axes directed along the principal directions of
strain. The measurement of the axes and knowing the original
diameter we can determine principal strains and their
directions. As the forming progresses, at some region neck
formation may occur. The ratio of strains is determined at the
region. This is a point on FLD diagram or curve which
separates the safe and unsafe region.An automotive
component spring seat is selected for study. The component is
shown in fig.4. Material properties are shown in table 3
Fig-4: Component dimension
Table 1 Material properties
Material: SS 4010
Sr.No. Mechanical properties Value
i Weight 28 grams
ii Thickness 0.8 mm
iii Yield strength 192MPa
iv Ultimate tensile strength 315MPa
4.2Formability Analysis of Components under Study
4.2.1 Procedure
1. Take the blank of material.
2. The blank diameter is 70 mm and thickness of 0.8mm.
3. Clean the blank with soft cloth.
IJRET: International Journal of Research in Engineering and Technology
__________________________________________________________________________________________
Volume: 03 Issue: 01 | Jan-2014, Available @
4. Draw the circles of constant diameter (4 mm) with circular
array.
5. Set the die of required component.
6. Select the punch force and the stroke required for drawing
component.
7. Draw the circular blank with the help of drawing machine.
8. See whether the circular marking is neat visible.
9. Measure the changed dimensions i.e. Major dia. and Minor
dia. of each circle after drawing.
10. Calculate the true strains i.e. Major strains and Minor
strains of each reading of measurement.
12. Tabulate all the data as per result table. The r
shown in table 2.
13. Plot the forming limit diagram from the strains calculated.
Fig-5: Component with grid
Table 2
Ellip
se
No.
Major
diamet
er
(mm)
Minor
diamet
er
(mm)
Original
circle grid
diameter(m
m)
Max.Str
ain
(%)
1 4.1 3.7 4 2.5
2 4.1 3.8 4 2.5
3 4.1 3.5 4 2.5
4 4.2 3.9 4 5
5 4.36 3.9 4 9
6 4.1 3.54 4 2.5
7 4.24 3.98 4 6
8 4.2 3.92 4 5
9 4.3 3.92 4 7.5
10 4.36 3.9 4 9
11 4.3 4 4 7.5
12 4.24 4 4 6
13 4.3 3.9 4 7.5
14 4.28 3.9 4 7
15 4.22 3.9 4 5.5
16 4.3 3.9 4 7.5
17 4.3 3.5 4 7.5
Research in Engineering and Technology eISSN: 2319
__________________________________________________________________________________________
2014, Available @ http://www.ijret.org
the circles of constant diameter (4 mm) with circular
the punch force and the stroke required for drawing
f drawing machine.
whether the circular marking is neat visible.
the changed dimensions i.e. Major dia. and Minor
the true strains i.e. Major strains and Minor
all the data as per result table. The result table is
the forming limit diagram from the strains calculated.
Component with grid
Max.Str
ain
(%)
Min.Str
ain
(%)
2.5 -7.5
2.5 -5
2.5 -12.5
-2.5
-2.5
2.5 -11.5
-0.5
-2
7.5 -2
-2.5
7.5 0
0
7.5 -2.5
-2.5
5.5 -2.5
7.5 -2.5
7.5 -12.5
18 4.3 4.2
19 4.3 3.9
20 4.3 3.92
21 4.36 3.9
22 4.3 3.5
23 4.22 3.9
24 4.3 3.9
25 4.3 3.92
26 4.3 3.5
27 4.3 3.92
28 4.36 3.9
29 4.3 3.92
30 4.2 3.92
31 4.36 3.9
32 4.3 3.8
33 4.16 3.56
34 4.1 3.78
35 4.2 3.92
36 4.1 3.78
37 4.36 3.9
38 4.36 3.9
39 4.1 3.9
40 4.2 3.92
41 4.36 3.9
42 4.3 3.8
43 4.16 3.56
44 4.1 3.78
4.2.2 FORMING LIMIT DIAGRAM
Fig.6 shows forming limit diagram for above results.
Fig-6: Forming limit diagram for component
5.SIMULATION
Fast form advanced is finite
software. It is used for formability analysis and cost
optimization of sheet metal component
eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
198
4 7.5 -2.5
4 7.5 -12.5
4 7.5 -2
4 9 -2.5
4 7.5 -12.5
4 5.5 -2.5
4 7.5 -2.5
4 7.5 -2
4 7.5 -12.5
4 7.5 -2
4 9 -2.5
4 7.5 -2
4 8 -2
4 9 -2.5
4 7.5 -5
4 4 -11
4 2.5 -5.5
4 8 -2
4 2.5 -5.5
4 9 -2.5
4 9 -2.5
4 2.5 -2.5
4 8 -2
4 9 -2.5
4 7.5 -5
4 4 -11
4 2.5 -5.5
4.2.2 FORMING LIMIT DIAGRAM
shows forming limit diagram for above results.
Forming limit diagram for component
finite element analysis simulation
software. It is used for formability analysis and cost
optimization of sheet metal component.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 199
5.1 Solution by Simulation
The result of above component by simulation is as follows:-
Fig-7: Forming limit diagram
Fig.8: shows a maximum safe point whose coordinates are -
2.786 and 8.673
Fig-8:- Forming limit diagram with safe point
Fig 9 shows a wrinkling tendency point whose coordinates are
-14.774 and 10.802.
Fig-9: Forming limit diagram with wrinkling tendency point
CONCLUSIONS
This study compares the forming limit diagram for component
by experimentally and by simulation software. Experimental
and numerical results were found to agree closely. Also, it was
found that Fast form advanced software is capable of
simulating the forming of component fairly accurately. The
results of study are summarized below.
1. The safe point obtained by experimentally is having
maximum minor strain and major strain coordinates -2.5 and
8.9 respectively and that of numerically are -2.786 and 8.673.
2. The wrinkling tendency point obtained by experimentally is
having minor strain and major strain coordinates -12.5 and 7.5
respectively and that of numerically are -14.774 and 10.802.
3. The wrinkling tendency present on the side wall.
4. Safe zone present on the bottom part of the component.
5. There were not failing, marginal, strong wrinkling tendency
and low strain zones present in the component.
REFERENCES
[1]. Keeler, S.P.; Sheet Met.Indust.,Vol.42. p.683,1965
[2].Dr.WaleedK.Jawad,JamalH.Mohamed, “Studying the
Effect of Punch Nose Radius on Deep Drawing Operation”
Eng.&Tech.Vol.26.No.,pp55-73(2008)
[3]. G. Venkateswarlu, M. J. Davidson and G. R. N. Tagore,
“Influence of process parameters on the cup drawing of
aluminium 7075 sheet” International Journal of Engineering,
Science and Technology Vol. 2, No. 11, pp. 41-49(2010)
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 200
[4]. Y. Marumo, H. Saiki, L Ruan , “Effect of sheet thickness
on deep drawing of metal foils” Journal of Achievements in
Materials and Manufacturing Engineering Vol.20 Issues 1-2
(2007)
[5].M. Ahmetoglu, T. R. Broek, G. Kinzel, T. Altan, “Control
of Blank Holder Force to Eliminate Wrinkling and Fracture in
Deep-Drawing Rectangular Parts” Annals of the ClRP Vol.
44/1/1995
[6]. H. Gharib, A.S. Wifi, M. Younan, A. Nassef,
“Optimization of the blank holder forcein cup drawing ”
Journal of Achievements in Materials and Manufacturing
Engineering, Volume 18, ISSUE 1-2 September–October
2006
[7]. W.M. Chan, H.I. Chew, H.P. Lee, B.T. Cheok , “Finite
element analysis of spring-back of V-bending sheet metal
forming processes” Journal of Materials Processing
Technology Vol.148 pp 15–24, (2004)
Books:
[8].Kalpakjain, Manufacturing Processes for Engineering
Materials ( Pearson Education, 2007 )

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Comparative studies on formability analysis in metal

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 196 COMPARATIVE STUDIES ON FORMABILITY ANALYSIS IN METAL FORMING U.V.Mangudkar1 , S.P.Mankani2 1 PG Student, WIT,Solapur, Maharashtra 2 Professor of Mechanical Engineering WIT,Solapur Abstract Sheet metal products are one of the most important semi-finished products used in the steel industry, and metal forming technology is therefore an important engineering domain. The development of new sheet metal forming processes, tooling and so on, has until now, to a large extent been based on experience, rules of thumb and trial- error experiments without or with only little use of scientifically based engineering methods. As mentioned above, experience is not enough, and trial-error experiments are expensive with regard to both money and time. The forming limit diagram (FLD) shows metal formability in metal forming with less cost. . The forming limit diagram typically represents the maximum permissible range of major and minor strains that a typical sheet material can undertake without failure. The forming limit diagram is experimentally measured for each sheet material by placing a grid of circle on the sheet sample and then deforming the same. A comparison of the original and the extensions in the marked grids on the sheet sample provide an estimate of the major and minor strain of the sample. This paper presents a case study of automotive component spring seat. By placing the grid of circles on the component and by measuring the dimensions of deformed circles a forming limit diagram has drawn. The simulations were carried out by fast form advanced software. The results achieved concluded that, safe forming zone is of bottom part and wrinkling tendency is present on side wall of component. Keywords: Forming, Forming limit diagram, Major strain, Minor strain, Safe zone, wrinkling. -----------------------------------------------------------------------***---------------------------------------------------------------------- 1.INTRODUCTION The forming of metals into desired shapes is almost the oldest fabricating technique. Metal forming is an economical method of manufacturing components because loss of material is too less. It is a process in which the desired shapes and size of components are obtained through the plastic deformation of metal. Sheet metals are widely used for industrial and consumer parts because of its capacity for being bent and formed into intricate shapes. Sheet metal parts comprise a large fraction of automotive, agricultural machinery, and aircraft components as well as consumer appliances. 2. FORMING PROCESSES A numbers of sheet metal forming processes are available such as Shearing Bending Deep Drawing Stretch forming Stretch drawing Press forming Hydroforming Each process is used for specific purpose and the requisite shape of the final product. 2.1 Deep Drawing Deep drawing is a sheet metal forming process in which a sheet metal blank is radially drawn into a forming die by the mechanical action of a punch. It is thus a shape transformation process with material retention. The process is considered "deep" drawing when the depth of the drawn part exceeds its diameter. This can be achieved by redrawing the part through a series of dies. Fig 1: Tooling for deep drawing 3. DEFECTS FOR DEEP DRAWING PROCESS The deep drawing process is applied with the intention of manufacturing a product with a desired shape and no failures. The tools, the blank and the process parameters define deep drawing final product shape. An incorrect design of the tools
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 197 and blank shape or an incorrect choice of material and process parameters can yield a product with a deviating shape or with failures. In the deep drawing the most common defects are presented in figure 2. In figure 2, the notations are: 1.flange undulation; 2.side undulation; 3.piece wrinkling; 4.circular traces; 5.scratches; 6.orange peel; 7.Luders bands; 8.cracking of piece flange or piece bottom; 9.edges cracking; 10.misalignment; 11.Contour misalignment; 12.Festoons; 13.delaminations; 14.edge festoons . Fig.2: Defects in deep drawing 4. EXPERIMENTAL ANALYSIS 4.1 Introduction The forming limit diagram (FLD) (Fig3) gives an indication whether the material can sustain certain ratio of strains without failing is of great help. Keeler [1] pioneered the application of forming limit diagrams (FLD) for accessing the formability of sheet metal. Fig-3: Forming limit diagram Many researchers have tried to determine the FLD diagrams for different sheet metals commonly used in forming operations either experimentally or theoretically. The experimental method consists of printing a grid pattern of circles of appropriate diameter (generally 2 mm to 4 mm) on the surface of sheet. The sheet is deformed as required but in stages. After each stage the grid pattern is examined.The advantage of printing circular grids is that during the deformation the circles will get deformed into ellipse with major and minor axes directed along the principal directions of strain. The measurement of the axes and knowing the original diameter we can determine principal strains and their directions. As the forming progresses, at some region neck formation may occur. The ratio of strains is determined at the region. This is a point on FLD diagram or curve which separates the safe and unsafe region.An automotive component spring seat is selected for study. The component is shown in fig.4. Material properties are shown in table 3 Fig-4: Component dimension Table 1 Material properties Material: SS 4010 Sr.No. Mechanical properties Value i Weight 28 grams ii Thickness 0.8 mm iii Yield strength 192MPa iv Ultimate tensile strength 315MPa 4.2Formability Analysis of Components under Study 4.2.1 Procedure 1. Take the blank of material. 2. The blank diameter is 70 mm and thickness of 0.8mm. 3. Clean the blank with soft cloth.
  • 3. IJRET: International Journal of Research in Engineering and Technology __________________________________________________________________________________________ Volume: 03 Issue: 01 | Jan-2014, Available @ 4. Draw the circles of constant diameter (4 mm) with circular array. 5. Set the die of required component. 6. Select the punch force and the stroke required for drawing component. 7. Draw the circular blank with the help of drawing machine. 8. See whether the circular marking is neat visible. 9. Measure the changed dimensions i.e. Major dia. and Minor dia. of each circle after drawing. 10. Calculate the true strains i.e. Major strains and Minor strains of each reading of measurement. 12. Tabulate all the data as per result table. The r shown in table 2. 13. Plot the forming limit diagram from the strains calculated. Fig-5: Component with grid Table 2 Ellip se No. Major diamet er (mm) Minor diamet er (mm) Original circle grid diameter(m m) Max.Str ain (%) 1 4.1 3.7 4 2.5 2 4.1 3.8 4 2.5 3 4.1 3.5 4 2.5 4 4.2 3.9 4 5 5 4.36 3.9 4 9 6 4.1 3.54 4 2.5 7 4.24 3.98 4 6 8 4.2 3.92 4 5 9 4.3 3.92 4 7.5 10 4.36 3.9 4 9 11 4.3 4 4 7.5 12 4.24 4 4 6 13 4.3 3.9 4 7.5 14 4.28 3.9 4 7 15 4.22 3.9 4 5.5 16 4.3 3.9 4 7.5 17 4.3 3.5 4 7.5 Research in Engineering and Technology eISSN: 2319 __________________________________________________________________________________________ 2014, Available @ http://www.ijret.org the circles of constant diameter (4 mm) with circular the punch force and the stroke required for drawing f drawing machine. whether the circular marking is neat visible. the changed dimensions i.e. Major dia. and Minor the true strains i.e. Major strains and Minor all the data as per result table. The result table is the forming limit diagram from the strains calculated. Component with grid Max.Str ain (%) Min.Str ain (%) 2.5 -7.5 2.5 -5 2.5 -12.5 -2.5 -2.5 2.5 -11.5 -0.5 -2 7.5 -2 -2.5 7.5 0 0 7.5 -2.5 -2.5 5.5 -2.5 7.5 -2.5 7.5 -12.5 18 4.3 4.2 19 4.3 3.9 20 4.3 3.92 21 4.36 3.9 22 4.3 3.5 23 4.22 3.9 24 4.3 3.9 25 4.3 3.92 26 4.3 3.5 27 4.3 3.92 28 4.36 3.9 29 4.3 3.92 30 4.2 3.92 31 4.36 3.9 32 4.3 3.8 33 4.16 3.56 34 4.1 3.78 35 4.2 3.92 36 4.1 3.78 37 4.36 3.9 38 4.36 3.9 39 4.1 3.9 40 4.2 3.92 41 4.36 3.9 42 4.3 3.8 43 4.16 3.56 44 4.1 3.78 4.2.2 FORMING LIMIT DIAGRAM Fig.6 shows forming limit diagram for above results. Fig-6: Forming limit diagram for component 5.SIMULATION Fast form advanced is finite software. It is used for formability analysis and cost optimization of sheet metal component eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ 198 4 7.5 -2.5 4 7.5 -12.5 4 7.5 -2 4 9 -2.5 4 7.5 -12.5 4 5.5 -2.5 4 7.5 -2.5 4 7.5 -2 4 7.5 -12.5 4 7.5 -2 4 9 -2.5 4 7.5 -2 4 8 -2 4 9 -2.5 4 7.5 -5 4 4 -11 4 2.5 -5.5 4 8 -2 4 2.5 -5.5 4 9 -2.5 4 9 -2.5 4 2.5 -2.5 4 8 -2 4 9 -2.5 4 7.5 -5 4 4 -11 4 2.5 -5.5 4.2.2 FORMING LIMIT DIAGRAM shows forming limit diagram for above results. Forming limit diagram for component finite element analysis simulation software. It is used for formability analysis and cost optimization of sheet metal component.
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 199 5.1 Solution by Simulation The result of above component by simulation is as follows:- Fig-7: Forming limit diagram Fig.8: shows a maximum safe point whose coordinates are - 2.786 and 8.673 Fig-8:- Forming limit diagram with safe point Fig 9 shows a wrinkling tendency point whose coordinates are -14.774 and 10.802. Fig-9: Forming limit diagram with wrinkling tendency point CONCLUSIONS This study compares the forming limit diagram for component by experimentally and by simulation software. Experimental and numerical results were found to agree closely. Also, it was found that Fast form advanced software is capable of simulating the forming of component fairly accurately. The results of study are summarized below. 1. The safe point obtained by experimentally is having maximum minor strain and major strain coordinates -2.5 and 8.9 respectively and that of numerically are -2.786 and 8.673. 2. The wrinkling tendency point obtained by experimentally is having minor strain and major strain coordinates -12.5 and 7.5 respectively and that of numerically are -14.774 and 10.802. 3. The wrinkling tendency present on the side wall. 4. Safe zone present on the bottom part of the component. 5. There were not failing, marginal, strong wrinkling tendency and low strain zones present in the component. REFERENCES [1]. Keeler, S.P.; Sheet Met.Indust.,Vol.42. p.683,1965 [2].Dr.WaleedK.Jawad,JamalH.Mohamed, “Studying the Effect of Punch Nose Radius on Deep Drawing Operation” Eng.&Tech.Vol.26.No.,pp55-73(2008) [3]. G. Venkateswarlu, M. J. Davidson and G. R. N. Tagore, “Influence of process parameters on the cup drawing of aluminium 7075 sheet” International Journal of Engineering, Science and Technology Vol. 2, No. 11, pp. 41-49(2010)
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 01 | Jan-2014, Available @ http://www.ijret.org 200 [4]. Y. Marumo, H. Saiki, L Ruan , “Effect of sheet thickness on deep drawing of metal foils” Journal of Achievements in Materials and Manufacturing Engineering Vol.20 Issues 1-2 (2007) [5].M. Ahmetoglu, T. R. Broek, G. Kinzel, T. Altan, “Control of Blank Holder Force to Eliminate Wrinkling and Fracture in Deep-Drawing Rectangular Parts” Annals of the ClRP Vol. 44/1/1995 [6]. H. Gharib, A.S. Wifi, M. Younan, A. Nassef, “Optimization of the blank holder forcein cup drawing ” Journal of Achievements in Materials and Manufacturing Engineering, Volume 18, ISSUE 1-2 September–October 2006 [7]. W.M. Chan, H.I. Chew, H.P. Lee, B.T. Cheok , “Finite element analysis of spring-back of V-bending sheet metal forming processes” Journal of Materials Processing Technology Vol.148 pp 15–24, (2004) Books: [8].Kalpakjain, Manufacturing Processes for Engineering Materials ( Pearson Education, 2007 )