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Published in: Engineering with Computers 3/2011

01-07-2011 | Original Article

The simulation of sheet metal forming processes via integrating solid-shell element with explicit finite element method

Authors: L. M. Li, D. Y. Li, Y. H. Peng

Published in: Engineering with Computers | Issue 3/2011

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Abstract

Solid-shell elements can be seen as a class of typical double-surfaced shell elements with no rational degrees of freedom, which are more suitable for analyzing double-sided contact problems than conventional shell elements. In this study, a solid-shell finite element model is implemented into the explicit finite element software ABAQUS/Explicit as a user-defined element, through which the sheet metal forming processes are simulated. The main feature of this finite element model is that the solid-shell element formulation is embedded into an explicit finite element procedure, compared to the previous studies on the solid-shell elements under the implicit finite element framework. To obtain a straightforward element, a complete integration scheme is adopted. No loss of generality, a twelve-parameter enhance assumed strain method is employed to improve the element’s behavior. Two benchmarks from the NUMISHEET conference and a U-channel roll-forming process are simulated with this explicit solid-shell finite element model. The calculated results are comparable with experimental and numerical results presented in the literatures.

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Literature
1.
go back to reference Wriggers P, Eberlein R, Reese S (1996) A comparison of three-dimensional continuum and shell elements for finite plasticity. Int J Solids Struct 33:3309–3326MATHCrossRef Wriggers P, Eberlein R, Reese S (1996) A comparison of three-dimensional continuum and shell elements for finite plasticity. Int J Solids Struct 33:3309–3326MATHCrossRef
2.
go back to reference Alves de Sousa RJ, Yoon JW, Valente RAF, Gracio JJ (2007) On the use of a reduced enhanced solid-shell (RESS) element for sheet forming simulations. Int J Plast 23:490–515MATHCrossRef Alves de Sousa RJ, Yoon JW, Valente RAF, Gracio JJ (2007) On the use of a reduced enhanced solid-shell (RESS) element for sheet forming simulations. Int J Plast 23:490–515MATHCrossRef
3.
go back to reference Flanagan DP, Belytschko T (1981) A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Int J Numer Meth Eng 17:679–706MATHCrossRef Flanagan DP, Belytschko T (1981) A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Int J Numer Meth Eng 17:679–706MATHCrossRef
4.
go back to reference Hauptmann R, Schweizerhof K (1998) A systematic development of solid-shell element formulations for linear and non-linear analyses employing only displacement degrees of freedom. Int J Numer Meth Eng 42:49–69MATHCrossRef Hauptmann R, Schweizerhof K (1998) A systematic development of solid-shell element formulations for linear and non-linear analyses employing only displacement degrees of freedom. Int J Numer Meth Eng 42:49–69MATHCrossRef
5.
go back to reference Hauptmann R, Schweizerhof K, Doll S (2000) Extension of the ‘solid-shell’ concept for application to large elastic and large elastoplastic deformations. Int J Numer Meth Eng 49:1121–1141MATHCrossRef Hauptmann R, Schweizerhof K, Doll S (2000) Extension of the ‘solid-shell’ concept for application to large elastic and large elastoplastic deformations. Int J Numer Meth Eng 49:1121–1141MATHCrossRef
6.
go back to reference Hauptmann R, Doll S, Harnau M, Schweizerhof K (2001) ‘Solid-shell’ elements with linear and quadratic shape functions at large deformations with nearly incompressible materials. Comput Struct 79:1671–1685CrossRef Hauptmann R, Doll S, Harnau M, Schweizerhof K (2001) ‘Solid-shell’ elements with linear and quadratic shape functions at large deformations with nearly incompressible materials. Comput Struct 79:1671–1685CrossRef
7.
go back to reference Klinkel S, Wagner W (1997) A geometrical non-linear brick element based on the EAS-method. Int J Numer Meth Eng 40:4529–4545MATHCrossRef Klinkel S, Wagner W (1997) A geometrical non-linear brick element based on the EAS-method. Int J Numer Meth Eng 40:4529–4545MATHCrossRef
8.
go back to reference Klinkel S, Gruttmann F, Wagner W (1999) A continuum based three-dimensional shell element for laminated structures. Comput Struct 71:43–62CrossRef Klinkel S, Gruttmann F, Wagner W (1999) A continuum based three-dimensional shell element for laminated structures. Comput Struct 71:43–62CrossRef
9.
go back to reference Klinkel S, Gruttmann F, Wagner W (2006) A robust non-linear solid shell element based on a mixed variational formulation. Comput Meth Appl Mech Eng 195:179–201MATHCrossRef Klinkel S, Gruttmann F, Wagner W (2006) A robust non-linear solid shell element based on a mixed variational formulation. Comput Meth Appl Mech Eng 195:179–201MATHCrossRef
10.
go back to reference Alves de Sousa RJ, Jorge RMN, Valente RAF, Ce´sar de Sá JMA (2003) A new volumetric and shear locking-free 3D enhanced strain element. Eng Comput 20:896–925MATHCrossRef Alves de Sousa RJ, Jorge RMN, Valente RAF, Ce´sar de Sá JMA (2003) A new volumetric and shear locking-free 3D enhanced strain element. Eng Comput 20:896–925MATHCrossRef
11.
go back to reference Alves de Sousa RJ, Cardoso RPR, Valente RAF, Yoon JW, Grácio JJ, Jorge RMN (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 Meth Eng 62:952–977MATHCrossRef Alves de Sousa RJ, Cardoso RPR, Valente RAF, Yoon JW, Grácio JJ, Jorge RMN (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 Meth Eng 62:952–977MATHCrossRef
12.
go back to reference Alves de Sousa RJ, Cardoso RPR, Valente RAF, Yoon JW, Grácio JJ, Jorge RMN (2006) A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness. Part II. Nonlinear applications. Int J Numer Meth Eng 67:160–188MATHCrossRef Alves de Sousa RJ, Cardoso RPR, Valente RAF, Yoon JW, Grácio JJ, Jorge RMN (2006) A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness. Part II. Nonlinear applications. Int J Numer Meth Eng 67:160–188MATHCrossRef
13.
go back to reference Valente RAF, Alves de Sousa RJ, Jorge RMN (2004) An enhanced strain 3D element for large deformation elastoplastic thin-shell applications. Comput Mech 34:38–54MATHCrossRef Valente RAF, Alves de Sousa RJ, Jorge RMN (2004) An enhanced strain 3D element for large deformation elastoplastic thin-shell applications. Comput Mech 34:38–54MATHCrossRef
14.
go back to reference Valente RAF (2004) Developments on shell and solid-shell finite elements technology in nonlinear continuum mechanics. Ph.D. dissertation. University of Porto (FEUP), Portugal Valente RAF (2004) Developments on shell and solid-shell finite elements technology in nonlinear continuum mechanics. Ph.D. dissertation. University of Porto (FEUP), Portugal
15.
go back to reference Harnau M, Konyukhov A, Schweizerhof K (2005) Algorithmic aspects in large deformation contact analysis using ‘Solid-Shell’ elements. Comput Struct 83:1804–1823CrossRef Harnau M, Konyukhov A, Schweizerhof K (2005) Algorithmic aspects in large deformation contact analysis using ‘Solid-Shell’ elements. Comput Struct 83:1804–1823CrossRef
16.
go back to reference Reese S, Schwarze M (2005) New finite-element-technology for simulation of electromagnetic sheet forming. ZWF Zeitschrift fur Wirtschaftlichen Fabrikbetrieb 100:439–442 Reese S, Schwarze M (2005) New finite-element-technology for simulation of electromagnetic sheet forming. ZWF Zeitschrift fur Wirtschaftlichen Fabrikbetrieb 100:439–442
17.
go back to reference Parente MPL, Valente RAF, Jorge RMN, Cardoso RPR, Alves de Sousa RJ (2006) Sheet metal forming simulation using EAS solid-shell finite elements. Finite Elem Anal Des 42:1137–1149CrossRef Parente MPL, Valente RAF, Jorge RMN, Cardoso RPR, Alves de Sousa RJ (2006) Sheet metal forming simulation using EAS solid-shell finite elements. Finite Elem Anal Des 42:1137–1149CrossRef
18.
go back to reference Harnau M, Schweizerhof K (2006) Artificial kinematics and simple stabilization of solid-shell elements occurring in highly constrained situations and applications in composite sheet forming simulation. Finite Elem Anal Des 42:1097–1111CrossRef Harnau M, Schweizerhof K (2006) Artificial kinematics and simple stabilization of solid-shell elements occurring in highly constrained situations and applications in composite sheet forming simulation. Finite Elem Anal Des 42:1097–1111CrossRef
19.
go back to reference Cardoso RPR, Yoon JW, Mahardika M, Choudhry S, Alves de Sousa RJ, Valente RAF (2008) Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements. Int J Numer Meth Eng 75:156–187MATHCrossRef Cardoso RPR, Yoon JW, Mahardika M, Choudhry S, Alves de Sousa RJ, Valente RAF (2008) Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements. Int J Numer Meth Eng 75:156–187MATHCrossRef
20.
go back to reference Nakamachi E, Makinouchi A (1992) Description of tool geometry and formulation of deformation dependant contact problem. VDI conference on FE-simulation of 3-D sheet metal forming processes in automotive industry, Zürich, Switzerland, pp 75–107 Nakamachi E, Makinouchi A (1992) Description of tool geometry and formulation of deformation dependant contact problem. VDI conference on FE-simulation of 3-D sheet metal forming processes in automotive industry, Zürich, Switzerland, pp 75–107
21.
go back to reference Wagoner RH, Zhou D (1992) Analyzing sheet forming operations-recent numerical and experimental advances, In: Chenot J-L, Wood RD, Zienkiewicz OC, Balkemma AA (eds) Numerical methods in industrial forming processes, Rotterdam, pp 123–132 Wagoner RH, Zhou D (1992) Analyzing sheet forming operations-recent numerical and experimental advances, In: Chenot J-L, Wood RD, Zienkiewicz OC, Balkemma AA (eds) Numerical methods in industrial forming processes, Rotterdam, pp 123–132
22.
go back to reference ABAQUS (2007) Analysis user’s manual, version 6.7, ABAQUS, Inc, USA ABAQUS (2007) Analysis user’s manual, version 6.7, ABAQUS, Inc, USA
23.
go back to reference Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Eng 29:1595–1638MathSciNetMATHCrossRef Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Eng 29:1595–1638MathSciNetMATHCrossRef
25.
go back to reference Simo JC, Armero F, Taylor RL (1993) Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Comput Methods Appl Mech Eng 110:359–386MathSciNetMATHCrossRef Simo JC, Armero F, Taylor RL (1993) Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Comput Methods Appl Mech Eng 110:359–386MathSciNetMATHCrossRef
26.
go back to reference Yoon JW, Yang DY, Chung K (1999) Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. Comput Methods Appl Mech Eng 174:23–56MATHCrossRef Yoon JW, Yang DY, Chung K (1999) Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. Comput Methods Appl Mech Eng 174:23–56MATHCrossRef
27.
go back to reference NUMISHEET (1996) In: Lee JK, Kinzel GL, Wagoner RH (eds) Proceedings of the 3rd international conference on numerical simulation of sheet metal forming processes—verification of simulations with experiments, Dearborn, Michigan NUMISHEET (1996) In: Lee JK, Kinzel GL, Wagoner RH (eds) Proceedings of the 3rd international conference on numerical simulation of sheet metal forming processes—verification of simulations with experiments, Dearborn, Michigan
28.
go back to reference NUMISHEET (2002) In: Yang DY, Oh SI, Huh H, Kim YH (eds) Proceedings of the 5th international conference and workshop on numerical simulation of 3D sheet forming processes—verification of simulation with experiments, Jeju Island NUMISHEET (2002) In: Yang DY, Oh SI, Huh H, Kim YH (eds) Proceedings of the 5th international conference and workshop on numerical simulation of 3D sheet forming processes—verification of simulation with experiments, Jeju Island
29.
go back to reference Lee SW, Yang DY (1998) An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process. J Mater Proc Tech 80–81:60–67CrossRef Lee SW, Yang DY (1998) An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process. J Mater Proc Tech 80–81:60–67CrossRef
30.
go back to reference Damm K (1989) Determination of longitudinal strains in roll forming of standard sections in a multi-stand machine, Dissertation. Institute for Production Technology, University of Darmstadt, Germany Damm K (1989) Determination of longitudinal strains in roll forming of standard sections in a multi-stand machine, Dissertation. Institute for Production Technology, University of Darmstadt, Germany
31.
go back to reference Heislitz F, Livatyali H, Ahmetoglu MA, Kinzel GL, Altan T (1996) Simulation of roll forming process with the 3-D FEM code PAM-STAMP. J Mater Proc Tech 59:59–67CrossRef Heislitz F, Livatyali H, Ahmetoglu MA, Kinzel GL, Altan T (1996) Simulation of roll forming process with the 3-D FEM code PAM-STAMP. J Mater Proc Tech 59:59–67CrossRef
Metadata
Title
The simulation of sheet metal forming processes via integrating solid-shell element with explicit finite element method
Authors
L. M. Li
D. Y. Li
Y. H. Peng
Publication date
01-07-2011
Publisher
Springer-Verlag
Published in
Engineering with Computers / Issue 3/2011
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-010-0197-3

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