Abstract
Single point incremental forming (SPIF) is an emerging application in sheet metal prototyping and small batch production, which enables dieless production of sheet metal parts. This research area has grown in the last years, both experimentally and numerically. However, numerical investigations into SPIF process need further improvement to predict the formed shape correctly and faster than current approaches. The current work aims the use of an adaptive remeshing technique, originally developed for shell and later extended to 3D “brick” elements, leading to a Reduced Enhanced Solid-Shell formulation. The CPU time reduction is a demanded request to perform the numerical simulations. A two-slope pyramid shape is used to carry out the numerical simulation and modelling. Its geometric difficulty on the numerical shape prediction and the through thickness stress behaviour are the main analysis targets in the present work. This work confirmed a significant CPU time reduction and an acceptable shape prediction accuracy using an adaptive remeshing method combined with the selected solid-shell element. The stress distribution in thickness direction revealed the occurrence of bending/unbending plus stretching and plastic deformation in regions far from the local deformation in the tool vicinity.
Similar content being viewed by others
References
Allwood JM, Braun D, Music O (2010) The effect of partially cut-out blanks on geometric accuracy in incremental sheet forming. J Mater Process Technol 210:1501–1510
Alves de Sousa RJ, Cardoso RPR, Fontes Valente RA, Yoon JW, Grácio JJ, Natal Jorge RM (2005) A new one-point quadrature Enhanced Assumed Strain (EAS) solid-shell element with multiple integration points along thickness: part I−geometrically linear applications. Int J Numer Methods Eng 62:952–977
Alves de Sousa RJ, Cardoso RPR, Fontes Valente RA, Yoon JW, Grácio JJ, Natal Jorge RM (2006) A new one-point quadrature Enhanced Assumed Strain (EAS) solid-shell element with multiple integration points along thickness: part II−nonlinear problems. Int J Numer Methods Eng 67:160–188
Alves de Sousa RJ, Yoon JW, Cardoso RPR, Fontes Valente RA, Grácio JJ (2007) On the use of a reduced enhanced solid-shell finite element for sheet metal forming applications. Int J Plast 23:490–515
Behera AK, Vanhove H, Lauwers B, Duflou J (2011) Accuracy improvement in single point incremental forming through systematic study of feature interactions. Key Eng Mater 473:881–888
Behera A, Gu J, Lauwers B, Duflou J (2012) Influence of material properties on accuracy response surfaces in single point incremental forming. Key Eng Mater 504–506:919–924
Behera A, Verbert J, Lauwers B, Duflou J (2013) Tool path compensation strategies for single point incremental sheet forming using multivariate adaptive regression splines. Comput Aided Des 45:575–590
Behera A, Lauwers B, Duflou J (2014) Tool path generation framework for accurate manufacture of complex 3D sheet metal parts using single point incremental forming. Comput Ind 65(4):563–584
Bouffioux C, Eyckens P, Henrard C, Aerens R, Van Bael A, Sol H, Duflou JR, Habraken AM (2008) Identification of material parameters to predict single point incremental forming forces. Int J Mater Form 1:147–1150
Bouffioux C, Pouteau P, Duchêne L, Vanhove H, Duflou JR, Habraken AM (2010) Material data identification to model the single point incremental sheet forming. Int J Mater Form 3:979–982
Duchêne L, Guzmán CF, Behera AK, Duflou J, Habraken AM (2013) Numerical simulation of a pyramid steel sheet formed by single point incremental forming using solid-shell finite elements. Key Eng Mater 549:180–188
Emmens WC, Sebastiani G, Van Den Boogaard AH (2010) The technology of incremental sheet forming−a brief review of the history. J Mater Process Technol 210:981–997
Eyckens P, Belkassem B, Henrard C, Gu J, Sol H, Habraken AM, Duflou J, Bael A, van Houtte P (2010) Strain evolution in the single point incremental forming process: digital image correlation measurement and finite element prediction. Int J Mater Form 4:55–71
Guzmán CF, Guc J, Duflou J, Vanhoved H, Flores P, Habraken AM (2012) Study of the geometrical inaccuracy on a SPIF two-slope pyramid by finite element simulations. Int J Solids Struct 49:3594–3604
Habraken AM (1989) Contribution to the modelling of metal forming by finite element model, PhD Thesis, Université de Liège, Belgium
Habraken AM, Cescotto S (1998) Contact between deformable solids, the fully coupled approach. Math Comput Model 28(4–8):153–169
He S, Van Bael A, Van Houtte P, Tunckol Y, Duflou J, Habraken AM (2006) An FEM-aided investigation of the deformation during single point incremental forming. Modeling & Simulation in Materials Science & Engineering, Institute of Physics
Henrard C (2008) Numerical Simulations of the Single Point Incremental Forming Process, PhD Thesis, Université de Liège, Belgium
Henrard C, Bouffioux C, Eyckens P, Sol H, Duflou JR, Van Houtte P, Van Bael A, Duchêne L, Habraken AM (2010) Forming forces in single point incremental forming: prediction by finite element simulations, validation and sensitivity. Comput Mech 47:573–590
Jetteur P, Cescotto S (1991) A Mixed Finite Element for the Analysis of Large Inelastic Strains. International Journal for Numerical Methods in Engineering; 31(2), pp. 229–239. doi:10.1002/nme.1620310203
Lequesne C, Henrard C, Bouffioux C, Duflou J, Habraken AM Adaptive Remeshing for Incremental Forming Simulation. Proceedings of the NUMISHEET 2008 7th International Conference and workshop on numerical simulation of 3D sheet metal forming processes, September 1–5, Interlaken, Switzerland
Leszak E, Patent US3342051A1, published 1967-09-19. Apparatus and Process for Incremental Dieless Forming
Li K. (1995) Contribution to the finite element simulation of three-dimensional sheet metal forming. PhD Thesis, Université de Liège, Belgium
Rabahallaha M, Bouffioux C, Duchêne L, Lequesne C, Vanhoveb H, Duflou JR, Habraken AM (2010) Optimized remeshing for incremental forming simulation. Advances in Materials and Processing Technologies (AMPT), Paris
Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Eng 29:1595–1638
Acknowledgments
The authors would like to gratefully acknowledge the support given by Portuguese Science Foundation (FCT) under the grant SFRH/BD/71269/2010 (J. I. V. Sena) and EXPL/EMS-TEC/0539/2013.
As Research director, A.M. Habraken would like to thank the Fund for Scientific Research (F.R.S - FNRS, Belgium) for its support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
de Sena, J.I.V., Guzmán, C.F., Duchêne, L. et al. Simulation of a two-slope pyramid made by SPIF using an adaptive remeshing method with solid-shell finite element. Int J Mater Form 9, 383–394 (2016). https://doi.org/10.1007/s12289-014-1213-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12289-014-1213-8