Skip to main content
Log in

Structural topology optimization of a stamping die made from high-strength steel sheet metal based on load mapping

  • INDUSTRIAL APPLICATION
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

Even though high-strength steel is a favourable material because of its high strength and good formability, this material poses new challenges on the structure of stamping dies owing to potential damages of the die during production. Stamping dies are conventionally produced according to design manuals and standard manufacturing guidelines, where a high safety factor is specified to ensure that the stamping die is heavy and thick. A structural topology optimization method for a stamping die is presented in this study based on finite element simulations of the sheet metal stamping process. The finite element model of the stamping die is first established. Next, the boundary forces acting on the sheet metal are obtained from simulations and these forces are applied to the punch surface by means of load mapping during topology optimization. These forces are equivalent to the interaction between the blank and die. The objective function is to maximize the static stiffness under multi-conditions, which is defined by using the compromise programming approach. The analytic hierarchy process method is used to determine the weight ratio of the body stiffness in various load conditions and conduct topology optimization of the comprehensive objective function. The results show that the weight of the optimal punch is reduced while its performance is improved. More importantly, the reconstructed punch can be manufactured practically.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  • Aitharaju V, Liu M, Dong J, Zhang J, Wang CT (2005) Integrated forming simulations and die structural analysis for optimal die designs. In AIP Conference Proceedings 778(1):96–100

  • Azamirad G, Arezoo B (2016) Structural design of stamping die components using bi-directional evolutionary structural optimization method. Int J Adv Manuf Technol 87:969–979

    Article  Google Scholar 

  • Barlat F, Lian J, Baudelet B (1989) Yield function for orthotropic sheets under plane stress conditions. Strength of Metals and Alloys 1:283–288

  • Becchio E, Chiara A, Fileccia R, Mastrocola M (1998) Use of fem in the drawing die structure design. SAE Technical Paper. https://doi.org/10.4271/982274

  • Ben Slima K, Penazzi L, Mabru C, Ronde-Oustau F (2013) Fatigue analysis-based numerical design of stamping tools made of cast iron. Int J Adv Manuf Technol 67:1643–1650

    Article  Google Scholar 

  • Bendsoe MP, Sigmund O (2003) Topology optimization-theory, methods and applications. Springer, New York

    MATH  Google Scholar 

  • Bourdin B (2001) Filters in topology optimization. Int J Numer Methods Eng 50(9):2143–2158

    Article  MathSciNet  MATH  Google Scholar 

  • Broggiato GB, Campana F, Mancini E (2013) Computer-aided engineering for sheet metal forming: definition of a springback quality function. Eng Comput 29:319–327

    Article  Google Scholar 

  • Chen J, Zhang GB, Tang YC, Xiao H, Wang A (2008) Sensitivity modeling and topology optimization of AHSS sheet metal stamping die structure. In: Proceedings of the 7th international conference and workshop on numerical simulation of 3D sheet metal forming processes, 847–852

  • Cheok BT, Li JY, Nee AYC (2002) Integrated feature-based modeling and process planning of bending operations in progressive die design. Int J Adv Manuf Technol 20(12):883–895

    Article  Google Scholar 

  • Gassara F, Hambli R, Bouraoui T, El Halouani F, Soulat D (2009) Optimization of springback in L-bending process using a coupled Abaqus/python algorithm. Int J Adv Manuf Technol 44:61–67

    Article  Google Scholar 

  • Haber RB, Jog CS, Bendsøe MP (1994) Variable-topology shape optimization with a constraint on perimeter. In: Gilmore B et al (eds) Advances in design automation, vol DE 69–2. ASME, New York, pp 261–272

    Google Scholar 

  • Haufe A, Roll K, Bogon P (2008) Sheet metal forming simulation with elastic tools in LS-DYNA. In: Proceedings of the 7th International Conference, Numisheet

  • Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193(1033):281–297

  • Hou J, Zhu JH, He F, Zhang WH, Guo WJ (2017) Stiffeners layout design of thin-walled structures with constraints on multi-fastener joint loads. Chinese J Aeronaut 30(4):1441–1450

    Article  Google Scholar 

  • Lin BT, Chang MR, Huang HL, Liu CY (2009a) Computer-aided structural design of drawing dies for stamping processes based on functional features. Int J Adv Manuf Technol 42:1140–1152

    Article  Google Scholar 

  • Lin B, Chang M, Huang H, Liu C (2009b) Computer-aided structural design of drawing dies for stamping processes based on functional features. Int J Adv Manuf Technol 42(11):1140–1152

    Article  Google Scholar 

  • Liu JK, Ma YS (2016) A survey of manufacturing oriented topology optimization methods. Adv Eng Softw 100:161–175

    Article  Google Scholar 

  • Mei YL, Wang XM (2004) A level set method for structural topology optimization and its applications. Comput Methods Appl Mech Eng 35(7):415–441

    MATH  Google Scholar 

  • Nilsson A, Birath F (2003) Topology optimization of a stamping die. In AIP Conference Proceedings 908(1): 449–454

  • Okabe T, Oya Y, Yamamoto G, Sato J, Matsumiya T, Matsuzaki R, Yashiro S, Obayashi S (2017) Multi-objective optimization for resin transfer molding process. Compos A: Appl Sci Manuf 92:1–9

    Article  Google Scholar 

  • Oujebbour FZ, Habbal A, Ellaia R (2015) Optimization of stamping process parameters to predict and reduce spring back and failure criterion. Structural Optimization 51:495–514

    Article  Google Scholar 

  • Palaniswamy H, Braedel M, Thandapani A, Altan T (2006) Optimal programming of multi-point cushion Systems for Sheet Metal Forming. CIRP Annals-Manufacturing Technology 55(1):249–254

    Article  Google Scholar 

  • Panthi SK, Ramakrishnan N, Ahmed M, Singh SS, Goel MD (2010) Finite element analysis of sheet metal bending process to predict the spring back. Mater Des 31:657–662

    Article  Google Scholar 

  • Park JW, Kang KM (2012) The effect of hydrogen in automobile high strength steel sheets charged with hydrogen by using electrochemical method. Finite Elem Anal Des 45(5):212–217

    Google Scholar 

  • Park HS, Nguyen TT, Dahal P (2016) Development of a new concrete pipe molding machine using topology optimization. J Mech Sci Technol 30(8):3757–3765

    Article  Google Scholar 

  • Petersson J, Sigmund O (1998) Slope constrained topology optimization. Int J Numer Methods Eng 41(8):1417–1434

    Article  MathSciNet  MATH  Google Scholar 

  • Ren B, Zhang S, Tan J (2014) Structural scheme optimization Design for the Stationary Platen of a precision plastic injection molding machine. Chinese Journal of Mechanical Engineering 27(4):714–721

    Article  Google Scholar 

  • Salcedo D, Luis CJ, Luri R, León J, Puertas I, Fuertes JP (2015) Design and optimization of the dies for the isothermal forging of a cam. Procedia Engineering 132:1069–1076

  • Sheng ZQ, Taylor R, Strazzanti M (2007) FEM analysis and design bulb shield progressive draw die. J Mater Process Technol 189:58–64

    Article  Google Scholar 

  • Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mechan Struct Mach 25(4):493–524

    Article  Google Scholar 

  • Sigmund O (2007) Morphology-based black and white filters for topology optimization. Structural Optimization 33(4–5):401–424

    Article  Google Scholar 

  • Wang JP, Chang S, Liu G, Liu L, Wu LY (2017) Optimal rib layout design for noise reduction based on topology optimization and acoustic contribution analysis. Structural Optimization. https://doi.org/10.1007/s00158-017-1705-5

  • Wang H, Li E, Li GY (2009) Parallel boundary and best neighbor searching sampling algorithm for draw bead design optimization in sheet metal forming. Struct Multidiscip Optim 41(2):309–324

    Article  Google Scholar 

  • Wang GF, Wu XS, Sun C, Liu SF, Liu Q, Zhao HS (2014) Auxiliary current hot forming of high-strength steel for automobile parts. Procedia Engineering 81:1701–1706

    Article  Google Scholar 

  • Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896

    Article  Google Scholar 

  • Xu DK, Chen J, Tang YC, Cao J (2012) Topology optimization of die weight reduction for high-strength sheet metal stamping. Int J Mech Sci 59:73–82

    Article  Google Scholar 

  • Zhu JH, Gu XJ, Zhang WH, Beckers P (2013) Structural design of aircraft skin stretch-forming die using topology optimization. J Comput Appl Math 246:278–288

    Article  MathSciNet  MATH  Google Scholar 

  • Zhu JH, Zhang WH, Xia L (2016) Topology optimization in aircraft and aerospace structures design. Archives of Computational Methods in Engineering 23(4):595–622

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant no.: 2015BAF01B01) and the strategic emerging industry of Hunan province and science technology research projects (2016GK4008). The authors also wish to extend their greatest appreciation to Shanghai Tractor & Internal Combustion Engine Co. Ltd. for providing the stamping die used in the case study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hui Xie.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, H., Xie, H., Liu, Q. et al. Structural topology optimization of a stamping die made from high-strength steel sheet metal based on load mapping. Struct Multidisc Optim 58, 769–784 (2018). https://doi.org/10.1007/s00158-018-1899-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-018-1899-1

Keywords

Navigation