A finite element analysis of the bending and the bendability of metallic sheets

Ben Bettaieb, Mohamed; Lemoine, Xavier; Bouaziz, Olivier; Habraken, Anne Marie; Duchêne, Laurent

Affiliations

¹Department ArGEnCo, Division MS2F, University of Liège, Chemin des Chevreuils 1, 4000 Liège, Belgium

²ArcelorMittal Research S.A., voie Romaine, 57238 Maizière-les-Metz, France

Abstract and keywords

The main objective of this paper is to study the bendability of metallic sheets by using the finite element method. In this aim, two variants of an advanced Gurson-Tvergaard-Needleman model [1,2] are implemented in the home made FE code LAGAMINE [3,4] and coupled with the Thomason model to predict the coalescence of voids. This advanced model is an extension of the original one to take into account of the plastic anisotropy and the mixed (isotropic + kinematic) hardening of the matrix. The difference between the two variants is related to the modeling of the damage evolution. As the advanced model is used to study the bending process, its yield function is slightly modified in order to take into account the loadings with negative triaxiality ratios. These present implementations are used to simulate the pure bending process and to predict the bendability of dual phase (DP) steel. The combined effect of an initial geometrical imperfection and damage evolution on the bendability is also studied.

Keywords: Bending; Bendability; Finite element method; Damage evolution; Gurson model; Geometrical imperfection

Links

DOI: 10.1007/s12289-010-0993-8

Cited Works (14)

Year	Entry
2004	Sarkar J, Kutty TRG, Wilkinson DS, Embury JD, Lloyd DJ. Tensile properties and bendability of T4 treated AA6111 aluminum alloys. Mater Sci Eng. March 25, 2004;A369(1-2):258-266.
1982	Triantafyllidis N, Needleman A, Tvergaard V. On the development of shear bands in pure bending. Int J Solids Struct. 1982;18(2):121-138.
1987	Tvergaard V. Effect of yield surface curvature and void nucleation on plastic flow localization. J Mech Phys Solids. 1987;35(1):43-60.
2001	Sarkar J, Kutty TRG, Conlon KT, Wilkinson DS, Embury JD, Lloyd DJ. Tensile and bending properties of AA5754 aluminum alloys. Mater Sci Eng. November 15, 2001;A316:52-59.
1981	Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
2008	Ben Bettaieb M, Lemoine X, Duchene L, Habraken AM. Study of bendability of steel sheets. Steel Res Int. 2008;79(sp. iss. 1):225-232.
1990	Thomason PF. Ductile Fracture of Metals. Pergamon Press; 1990.
1977	Gurson AL. Continuum theory of ductile rupture by void nucleation and growth, I: yield criteria and flow rules for porous ductile media. J Eng Mater Technol. 1977;99(1):2-15.
1969	Rice JR, Tracey DM. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids. 1969;17(3):201-217.
2003	Lievers WB, Pilkey AK, Lloyd DJ. The influence of iron content on the bendability of AA6111 sheet. Mater Sci Eng. November 2003;A361(1-2):312-320.
2003	Lievers WB, Pilkey AK, Worswick MJ. The co-operative role of voids and shear bands in strain localization during bending. Mech Mater. July 2003;35(7):661-674.
2000	Zhang ZL, Thaulow C, Ødegård J. A complete Gurson model approach for ductile fracture. Eng Fract Mech. September 1, 2000;67(2):155-168.
2007	Kuroda M, Tvergaard V. Effects of texture on shear band formation in plane strain tension/compression and bending. Int J Plast. February 2007;23(2):244-272.
1987	Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. Int J Num Meth Eng. 1987;24(7):1395-1416.

Cited By (1)

Year	Entry
2013	Fansi J. Prediction of DP Steel Fracture by FEM Simulations Using an Advanced Gurson Model [PhD thesis]. Liège, Belgique: Université de Liège; 2013.