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  International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013) 30 Design and Development of Sheet Metal „Draw Component Using CAE Technology Y. N. Dhulugade 1 , P. N. Gore 2  1  PG Student, Mechanical Dept. DKTE S ociety’s Textile and Engineering institute, Ichalkaranji. India. 1 Senior Engineer Design & Development, Dies and fixtures, Adventtooltech Pvt. Ltd. Pune, India. 2  Associate Professor, Dept. of Mechanical Engineering, DKTE S ociety’s Textile and Engineering institute, Ichalkaranji. India  Abst rac t    Achieving high standard quality products in almost no time with great economy in industry demands for a technology that helps exceed the engineering requirement of products. This paper highlights development of draw component and the changes made in product design due to manufacturing and assembly reasons considering the design intent; and also the a dvantages of using various ‘CAE’  softwares used in designing draw tools. It helps reducing the complete product development cycle as compared to what happens with conventio nal methods. Lesser effort and ease to model the complete setup and important features with different design parameters, improved the product development without compromising quality. Thorough attempt is aimed for design sheet metal draw die using the latest technology to make it time and cost effective, identifying the problem areas through analysis results and Based on the analysis prepare the query report and suggest revisions/ modificati ons in the product design. Finally, work out the best die design to produce defect-free components based on the inputs received. Thus using the CAE software one can design economical die because the design changes, modifications and challenges can be observed and solved in the initial phase of the design only. Otherwise without these efforts the die design and the processing could end up as a costly and complicated assignment. K ey wo r ds - Design Intent, economy, FEM simulation, Product Design, sheet metal draw die.  I. I  NTRODUCTION The sheet metal deep drawn technology is one of the most challenging processes in manufacturing. Drawing operation is the process forming a flat piece of material into a hollow shape by means of punch which causes the blank to flow into the die cavity (refer figure 1). The depth of the draw may be shallow, moderate or deep, various geometries and sizes are made by drawing operation, two extreme examples being bottle caps and automobile panels. Typical defects that occur due to incorrect flow of material into the die during the stamping process are wrinkling caused by excessive compression, tearing or splitting caused by excessive tension, and spring back caused by elastic recovery of the material. [6, 7] Fig.1(a) Schematic illustration of the deep drawing process on a circular sheet-metal blank. (b) Variables in deep drawing of a cylindrical cup [10]. II. WHAT IS THE PROBLEM? Tool development for form component is very costly  process and it will take lot of time if we go conventionally. So we can use latest technology such as crash analysis during the design phase so that problem areas in forming can be easily pointed out through analysis results which will make our work, time and cost effective. And based on analysis report tool designer can suggest revisions/ modifications in the product design which will help tool designer to design a tool which will produce defect free components based on the inputs received. Without these efforts the die design and the processing could end up as costly and complicated assignment. [1, 5] As shown in fig. 2, draw Component may face challenges such as, Wrinkling, Tearing, Thinning, Spring-  back. Fig.2 Draw component challenges

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  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    30

    Design and Development of Sheet Metal Draw Component Using CAE Technology

    Y. N. Dhulugade1, P. N. Gore

    2

    1PG Student, Mechanical Dept. DKTE Societys Textile and Engineering institute, Ichalkaranji. India. 1

    Senior Engineer Design & Development, Dies and fixtures, Adventtooltech Pvt. Ltd. Pune, India. 2Associate Professor, Dept. of Mechanical Engineering, DKTE Societys Textile and Engineering institute, Ichalkaranji. India

    Abstract Achieving high standard quality products in almost no time with great economy in industry demands

    for a technology that helps exceed the engineering

    requirement of products. This paper highlights development

    of draw component and the changes made in product design due to manufacturing and assembly reasons considering the

    design intent; and also the advantages of using various CAE

    softwares used in designing draw tools. It helps reducing the

    complete product development cycle as compared to what

    happens with conventional methods. Lesser effort and ease

    to model the complete setup and important features with

    different design parameters, improved the product

    development without compromising quality. Thorough

    attempt is aimed for design sheet metal draw die using the

    latest technology to make it time and cost effective, identifying

    the problem areas through analysis results and Based on the

    analysis prepare the query report and suggest revisions/

    modifications in the product design. Finally, work out the best

    die design to produce defect-free components based on the

    inputs received. Thus using the CAE software one can design

    economical die because the design changes, modifications and

    challenges can be observed and solved in the initial phase of

    the design only. Otherwise without these efforts the die design

    and the processing could end up as a costly and complicated

    assignment.

    Keywords- Design Intent, economy, FEM simulation,

    Product Design, sheet metal draw die.

    I. INTRODUCTION

    The sheet metal deep drawn technology is one of the

    most challenging processes in manufacturing. Drawing

    operation is the process forming a flat piece of material into

    a hollow shape by means of punch which causes the blank

    to flow into the die cavity (refer figure 1). The depth of the

    draw may be shallow, moderate or deep, various

    geometries and sizes are made by drawing operation, two

    extreme examples being bottle caps and automobile panels.

    Typical defects that occur due to incorrect flow of material

    into the die during the stamping process are wrinkling

    caused by excessive compression, tearing or splitting

    caused by excessive tension, and spring back caused by

    elastic recovery of the material. [6, 7]

    Fig.1(a) Schematic illustration of the deep drawing process on a

    circular sheet-metal blank. (b) Variables in deep drawing of a

    cylindrical cup [10].

    II. WHAT IS THE PROBLEM?

    Tool development for form component is very costly

    process and it will take lot of time if we go conventionally.

    So we can use latest technology such as crash analysis

    during the design phase so that problem areas in forming

    can be easily pointed out through analysis results which

    will make our work, time and cost effective. And based on

    analysis report tool designer can suggest revisions/

    modifications in the product design which will help tool

    designer to design a tool which will produce defect free

    components based on the inputs received. Without these

    efforts the die design and the processing could end up as

    costly and complicated assignment. [1, 5]

    As shown in fig. 2, draw Component may face

    challenges such as, Wrinkling, Tearing, Thinning, Spring-

    back.

    Fig.2 Draw component challenges

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    31

    While the die designer attempts to design a draw die, the

    process for drawing entails the use of hydraulic press since

    the rate of deformation has to be controlled throughout the

    operation of draw. The draw die should be built to tackle

    the problem of wrinkling especially prominent at the top

    corners; tearing along the sides of the corner and the

    bottom area; while thinning is associated along the corner

    edges prone to uneven flow. And the problem of spring

    back may occur due to elastic recovery of material. The

    rejection amounts to a loss of man hours of the hydraulic

    press, skilled labor, special material (DD or EDD quality

    for draw) and other resources directly or indirectly

    associated with the process.

    A. Necking Failures

    Necking failures such as shown in Figure 3 are preceded

    by localized thinning that may not be visible in the part. [6]

    Fig.3 Necking failure of component

    B. Material Quality Issues

    When drawing operations fail, often the material is

    immediately blamed. The logic is that if the vendor can

    supply some material that will run it should be possible to

    do so consistently. Material formability properties do vary

    from lot-to-lot, and even within the same coil.

    Proper deep drawing material should be selected while

    going for good quality products and error free deep

    drawing operation. [6]

    1. Why The Problem Is So Important

    Stamping industry applies CAD techniques both in the

    process planning and die design already for many years.

    After determining process sequences and process

    parameters the forming dies are designed using

    sophisticated CAD systems. However still we dont have any evidence whether the designed tool will provide the

    right component and as it is die goes for tri-out and

    automatically it consumes time and cost and it will effects

    on the final cost of the die.

    If the die tri-out goes well and component received

    matching to the requirements, the die will go for

    production, on the other hand if die tri-out fails and

    component showing some splitting and wrinkles, die set

    needs to be reworked. It means firstly rework the die

    construction by changing the die parameters such as draw

    radii drawing clearance etc. even if the problem not solved

    we have to think for new die design and process planning.

    In some of the cases the development team goes to the

    product design stage to modify the product parameters so

    more we go back the design and development costs are

    increasing indirectly. [5]

    2. Conventional Practices for die design and development

    As shown in following schematic (diagram 4) in

    previous days the method used for process planning and die

    designing will becoming costly due to some reasons.

    Initially the process planning is done when the final

    product design received from the product designer and after

    that tool is designed, die construction is made and finally

    tool is shifted for tri-out this is what conventional method

    of die design for a particular product. If everything goes

    well and if the drawn parts matching to the required part

    then the die is sent to production. On the other hand if tri-

    out fails and part showing undesirable results then

    development team goes for die reworking and if problem

    not solved after die rework, new die design or new process

    planning is required, in some cases product design is also

    changed and in all this activities the lead time go on

    increasing as well as cost and time. All this happens

    because problem observed at the last stage of the

    development. [5]

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    32

    Schematic diag.4

    3. Solution for the problem:

    Decreasing the lead time for product development along

    with the cost and time is the real challenge to the industry

    but it can be achieved with the latest CAE techniques such

    as simulation. The schematic diagram for process planning

    and die design using these techniques is shown below in

    schematic diag. 5

    Efficient use of simulation techniques from the earliest

    stage of product development to give feedback from each

    step to make the necessary corrections and improvement

    when it takes the least cost, with this approach stamping

    defects can be minimized or eliminated before die

    construction and try-out. If any correction or redesign is

    needed it can be done immediately, in very short time, thus

    it lead to a much smoother die try-out and to shorter lead

    times with less development costs. [5]

    Schematic diag.5

    4. Areas To Check

    The areas where a necking failure or fracture is occur on

    a stamping can be predicted with analysis during the

    development and die tryout period for new stampings [6].

    Once the areas found to thin leading to failure are

    identified, regular checks should be made, this permits

    corrective action to be taken before a necking failure

    becomes visible. Causal factors for a pronounced increase

    in thinning include:

    1. Excessive blank holder force.

    2. Material problems such as a lack of draw ability.

    3. Material too thin.

    4. Scored die surfaces.

    5. Die Tryout Procedure

    A skilled die tri-out technician will optimize the metal

    flow by making a series of trial parts and reworking the

    blank holder as needed. In some cases, it is necessary to

    increase punch radii with the approval of the product

    designer. [6]

    6. Benefit of Minor Product Changes

    Minor product changes are often highly beneficial to

    reduce or eliminate the occurrence of fractures. The corner

    is the usual location of a fracture in a rectangular drawn

    shell.

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    33

    Fig.6 rectangular drawn shell having a corner fracture

    Refer fig. 6 typical fracture caused by the metal flow at

    the corners locking due to circumferential compression is

    shown.

    Fig.7 Rectangular box draw with large outboard tab. The tab may

    severely restrict metal movement into the draw cavity and result in a

    fracture. [6]

    6. Effect of various parameters on drawing process observed by CAE techniques

    A. Blank holding force:

    Drawing process is greatly influenced by blank holding

    force. It is seen that deep drawn part quality is affected

    significantly by flow of metal into die cavity. The force

    exerted by blank holder on the sheet provides restraining

    force which controls the metal flow. Excessive flow may

    lead to wrinkles, while insufficient flow can result in

    tearing. Curve shows (Fig.8) that larger blank holding force

    requires more forming load. [11]

    Fig.8

    B. Drawing force:

    As the drawing process progresses the force increase and

    reaches to peak and begins to drop until it reaches the

    fracture point. It is observed from the curve (Fig.9) that the

    fracture point is not at the maximum load condition but it is

    after that. The maximum principle stresses occur at fracture

    rather than at point of maximum load, material fails after

    the maximum load due to its ductile properties. [11]

    Fig.9

    C. Effect of clearance between punch and die:

    As shown in the curve (Fig.10) it is clear that large value

    of clearance between punch and die would require effective

    forming load more to form the component. Required

    effective forming load decreases as the clearance between

    punch and die decreased. [8, 11]

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    34

    Fig.10

    I. Simulation Validity:

    Different blank holder forces selected for evaluating the

    effect of BHF, on the other hand parameters such as

    drawing speed, blank dimensions etc. are kept constant.

    Refer fig.11, if we apply 350 KN BHF the wrinkling is

    more & risk of crack is less, on the other hand if we

    increase the BHF to 800KN the crack area is visible,

    thinning and tearing is also increased at this BHF.

    Fig.11 Simulation of drawn component at different BHFs

    According to the results of these simulations a wrinkle

    has been observed at 350 KN BHF, increase in thinning

    and fracture has been observed at 800KN. It also shows

    that wall thickness of component becomes thinner from the

    edges. Finally 600 KN BHF is selected which gives

    desirable results.

    If we compare the experimental results with the

    simulation results it showed the validity of simulation to

    predict where the damaged zones will appear in the part

    during deformation and it is an accurate simulation

    technology to achieve precise prediction of quality defects

    in initial phase of design only so need for costly

    experiments will be eliminated. In this way great time and

    cost can be saved. [3, 4]

    A. Benefits of simulation:

    It is used as try-out tool to shorten production die try-out

    and thus to reduce the die cost and lead time. It is used as

    production tool to provide production stamping conditions.

    It is used as guide to use simulation output to drive

    consistency among die engineering &construction etc.

    Stamping simulation may be used as learning tool to

    explore and gain new knowledge and application guidance

    for new forming techniques. [5]

    III. CASE STUDY- DESIGN AND DEVELOPMENT OF OIL PAN

    A. What is oil Pan:

    An oil pan is a component that typically seals the bottom

    side of four-stroke (Refer fig.12), internal combustion

    engines in automotive and other similar applications. Its

    main purpose is to form the bottommost part of the

    crankcase and to contain the engine oil before and after it

    has been circulated through the engine. During normal

    engine operation, an oil pump will draw oil from the pan

    and circulate it through the engine, where it is used to

    lubricate all the various components. After the oil has

    passed through the engine, it is allowed to return to the oil

    pan.

    Fig.12. Oil pan assembly.

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    35

    B. Methodology:

    Analysis for the given configuration of the component under `draw (Method CAE analysis using Auto-Form).

    Evaluate the `design intent of the features on the component.

    Document the query report and discuss with the concerned Product designer for his comments/

    explanation/ views.

    Based upon the analysis, suggest revisions/ modifications in the product design for ease of `flow of the sheet-metal material in the die cavity.

    Determination of blank size.

    Calculate ejection force required.

    Material selection for die and other auxiliary items for the process of stamping.

    Selection of configuration for the die set.

    Press machine selection based on the type of press, tonnage required.

    Detailed Design for the Draw Die.

    Manufacturing of the die as per the 3D data.

    Assembly of various components of the die together to make it ready for tri-out.

    Take the tri-out on suitable no of components, note down problems occurred during the tryouts.

    Do inspection of suitable no of components and see whether they are matching with cad data received

    (CMM- Inspection).

    C. Oil Pan Simulation:

    While the die is being considered for design, the blank

    development is inferred from the Draw Analysis using

    software depicting crash- as in Hyper-Form or Auto-Form

    where nature and extent of deformation resulting in the

    formed component is analyzed. This method of finding the

    blank development is deployed using the software interface

    and later fine-tuned during trials and experimentation. For

    the study we have used Auto-form software for simulation

    purpose. Auto-form can address these issues very well as it

    gives various forming plots and thickness plots at different

    loading conditions Refer fig.13.

    Fig13. Oil Pan simulation at different loading conditions

    D. Design Intent of oil pan

    The oil pan should contain sufficient amount of oil that can be used for lubrication purpose of the engine.

    Design should be such that it will provide lubrication oil to all engine parts that require the lubrication.

    Drain plug should be provided to change the oil and located at lowest point.

    During drainage of used oil, all the oil should collect at one point so that it will be easy to remove it out.

    There should not be any oil leakages in the oil pan after fitment.

    The shape of the oil pan should be such that it will not foul with the other parts below the engine.

    Design Iteration 1:

    During development stage initially one simple design is

    made taking the reference from same oil pan designs and

    keeping in mind the functions of oil pan. After studying the

    component data decision is made to make the forming tool

    for the component. But the side walls of the oil pan are

    having the straight walls having 90 deg. Angle with the

    horizontal plane. As far as sheet metal forming is

    concerned it is not possible to press such component

    without any draft angle for good effect. So tool designer

    has requested to product designer to change the design on

    the basis of analysis results received. The holes provided

    on the oil pan for assembly purpose are less and it can lead

    to leakages, so no of holes are added and emboss is

    provided to avoid any leakages (Refer fig.14).

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    36

    Fig.14

    Design Iteration 2:

    As shown in fig.15. some draft angle is given as shown

    and emboss added and as mentioned earlier the oil should

    be collect at one point after it is used for lubrication

    purpose so taper is given to front side of the oil pan as

    shown so that all the oil is collected at one corner and it

    will be drained out from drain plug easily.

    Fig.15

    Design Iteration 3:

    Some design changes were done in the lower side of the

    engine assembly so automatically the shape of the oil pan is

    changed and is made as shown in fig.16, the depth of first

    chamber is decreased and depth of second chamber is

    increased so that it will not affect the volume of the oil. But

    in this design the depth of second chamber is very deep and

    is not possible to form the components with this depth. To

    give technical support to this statement we have done

    simulation of the same design and in that we see due to

    extra deep material gets cracks due to thinning and some

    wrinkles are also observed. So design is changed.

    Fig.16

    Design iteration 4:

    In this iteration(Fig.17), the depth of second chamber is

    decreased and depth of first chamber is increased

    somewhat, Due to Engine block assembly is fouling with

    the oil pan hump shape is given as shown to center of oil

    pan. But such revert draw is not possible and design is

    changed again.

    Fig.17

    Design iteration 5:

    In this design depth of second chamber is decreased so

    that it will be possible to form the component and depth of

    first chamber is increased somewhat. The sharp corners

    provided in the earlier designs are given fillets so that there

    should not be any problem of cracking of material at the

    corners. After such changes the design is finalized and

    approved (Fig.18). [1, 2]

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    37

    Fig.18

    E. Blank Development using CAE Techniques:

    Blank is developed from available cad data using

    forming suite software. Initially the component is imported

    into the software. Then the software will create meshing

    using available skin.then the tipping direction is given to

    the software, tipping direction is the direction in which

    forming has to be done. Then give input of material used

    for forming and its thickness. Finally the software will give

    the developed blank data and forming area along with scrap

    layout (Refer fig.19). [3]

    Fig.19 Blank development using CAE software

    F. Tool Design for oil pan:

    Forming tool is designed for oil pan considering draw

    depth of oil pan the decision is made to make two dies for

    drawing and one die for restrike and flanging. Oil pan

    quantity required is only 100 no. of batch so decision is

    made to not go for blanking tool and trimming and holes

    are going to made on five axis laser cut machine Following

    fig.20 will show the process sheet for oil pan development.

    Fig.20 Process sheet for oil pan development

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    38

    G. Experimentation:

    The experimentation will be carried out over a suitable

    press machine (Refer photographs 21)based on the tonnage

    requirement for the subject component and requisite raw

    material identical with the specifications on the drawing of

    the Die/ Component will be provided for the trials. The

    parameters such as blank size, blank holding pressure, die

    block radius, drawing speed (rate of deformation) etc. are

    varied looking towards the problems like wrinkling,

    thinning, tearing etc. these parameters will be changed one

    at a time and also in combination of two or three. The

    simulation and analysis software provides sufficient

    information regarding above problems. The component will

    be tried out for a batch quantity for checking the

    consistency of the draw operation over the given lot.

    Record the necessary parameters on the machine while a

    satisfactory lot of the desired component quality is

    produced.

    Fig. 21. Oil Pan-Tool tri-out photographs

    H. Validation

    The components received as a consequence of the above

    trial are referred to as the sample pieces exhibiting the test

    results. The die validation process would be said as

    complete while the sample component received from the

    Die over the test run matches the requirements specified

    over the drawing by using the CMM, following figures 22

    will show some of the snaps of the CMM report.

    Fig22. Cmm report

    IV. CONCLUSION

    The problem areas such as wrinkling, thinning, spring

    back are the biggest challenges to the industry now a days

    but these problems can be tackled and sorted out in the

    initial phases of the design by using simulation techniques.

    While designing new product for a particular

    requirement, the product designer and tool designer should

    have good communication between them and each of them

    should share their thoughts and queries in front of

    development team and final product should validate all the

    functional and manufacturing requirements.

    Decreasing the lead time for product development along

    with the cost and time is the real challenge to the industry.

    It can be achieved with latest CAE techniques such as

    simulation, efficient use of simulation method at the

    earliest stages of design can help to make necessary

    corrections and improvement when it takes least cost.

    Defects can be minimized or eliminated before try-out. So

    that lead time along with time and cost can be minimized.

  • International Journal of Emerging Technology and Advanced Engineering

    Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)

    39

    A. Future scope

    Study can be done on increasing fatigue life of oil pan

    by modifying the oil pan structure & increasing frequency

    of natural vibration modes to a specified level.it can be

    done by developing a finite element model of existing pan

    and verifying it against experimental modal analysis

    results.

    Heavy steel oil pans can be replaced with thermoplastic

    polymer material as it provides high strength to weight

    ratio, long flow distances, short injection times and reliable

    molding of thin walled sections. Unlike with steel or

    aluminum, plastic oil pan can be molded with integrated

    valves or cooling channels.

    FEA simulation can be significantly used in plastic

    injection molded oil pans for positioning of ribs at edge of

    oil pan and to significantly improve the overall stiffness of

    the critical flat sections, yet with minimum height of

    design. FEA can also be used to simulate impact of wall

    thickness, number of gates and their positioning, weld line

    formation, warp age behavior and to optimize respective

    processing parameters.

    Acknowledgement

    Authors would like to take this opportunity to express

    sincere and whole hearted thanks to Mr. Shailesh

    Bhadade from Icon Technologies, Pune for giving the

    opportunity to work with the development of oil pan

    through-out the process. We would also thankful to Dr. V.

    R. Naik, Head, Department of Mechanical Engineering,

    DKTES, Textile & Engineering Institute, Ichalkaranji for

    continuous encouragement during this work. We are

    extremely thankful to Prof. Dr. P.V.KADOLE, Principal

    of DKTES, Textile & Engineering Institute, Ichalkaranji

    for his help provided during this work.

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    university of technology, China V978-1-4244-5268-2/09/2009IEEE

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    [2] Behavior and design intent based product modeling, Laszlo Horwath & Imre J Rudas , Volume 1 2004 Hungary PP[10-25].

    [3] Fuh-Kuo Chen, Yeu-Ching Liao Finite element analysis of draw-wall wrinkling in a stamping die design VIII International Conference on Computational Plasticity COMPLAS VIII CIMNE, Barcelona, 2005 PP 2-4

    [4] Yang Feng, Xiaochun Lu, Bing Gao Numerical Damage prediction and Experiments in Deep Drawing of Irregular Square Cup 978-0-7695-4353-6/11 2011 IEEE DOI 10.1109/ICICTA.2011.221 PP

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    [6] International journal of Intelligent Computer-Aided Stamping System (ICASS), intellicass inc.PP-2-5

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    [8] S.J. Hu, Z. Marciniak, J.L. Duncan Text 0Book Of Mechanics of Sheet Metal Forming ISBN 0 7506 5300 0 PP 50-60

    [9] Ninig-an Hu, Ning-yan Zhu Aid Design Die of Auto-Body Using Numerical Simulation of 3-D Sheet Metal Forming Processes SAE China (Society of Automotive Engineering of China) PP 14-20

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    [11] T.S. Yang, Finite element analysis of elliptic cup deep drawing of magnesium alloy sheet, VOL. 27, issue 2, April 2008, NSC- 95-2221-E-150-015, pp 139-142