Effects of texture on shear band formation in plane strain tension/compression and bending

Kuroda, Mitsutoshi<sup>1</sup>; Tvergaard, Viggo<sup>2</sup>

Affiliations

¹Department of Mechanical Systems Engineering, Yamagata University, 4-3-16 Jonan, Yonezawa, 992-8510 Yamagata, Japan

²Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, DK-2800, Kgs. Lyngby, Denmark

Abstract and keywords

In this study, effects of typical texture components observed in rolled aluminum alloy sheets on shear band formation in plane strain tension/compression and bending are systematically studied. The material response is described by a generalized Taylor-type polycrystal model, in which each grain is characterized in terms of an elastic–viscoplastic continuum slip constitutive relation. First, a simple model analysis in which the shear band is assumed to occur in a weaker thin slice of material is performed. From this simple model analysis, two important quantities regarding shear band formation are obtained: i.e. the critical strain at the onset of shear banding and the corresponding orientation of shear band. Second, the shear band development in plane strain tension/compression is analyzed by the finite element method. Predictability of the finite element analysis is compared to that of the simple model analysis. Third, shear band developments in plane strain pure bending of a sheet specimen with the typical textures are studied. Regions near the surfaces in a bent sheet specimen are approximately subjected to plane strain tension or compression. From this viewpoint, the bendability of a sheet specimen may be evaluated, using the knowledge regarding shear band formation in plane strain tension/compression. To confirm this and to encompass overall deformation of a bent sheet specimen, including shear bands, finite element analyses of plane strain pure bending are carried out, and the predicted shear band formation in bent specimens is compared to that in the tension/compression problem. Finally, the present results are compared to previous related studies, and the efficiency of the present method for materials design in future is discussed.

Keywords: Ductility; Crystal plasticity; Finite strain; Metallic material; Finite element

Links

DOI: 10.1016/j.ijplas.2006.03.014

WoS: 000242421400004

History

Received: 2005-11-13

Online: 2006-09-01

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Cited By (15)

Year	Entry
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.
2009	Liu Y, Long Z, Wen XY, Ningileri S, Das SK. Experimental and simulation study on texture and bendability of AA5XXX aluminum alloys. In: Rollett AD, ed. Applications of Texture Analysis. Hoboken, NJ: Inc., John Wiley & Sons; 2009:701-708. Ceramic Transactions; vol 201.
2011	Mattei L. Pliabilité des tôles en alliages d'aluminium pour la carrosserie automobile: Analyse des mécanismes d'endommagement [PhD thesis]. École Nationale Supérieure des Mines de Saint-Étienne; February 22, 2011.
2011	Ben Bettaieb M, Lemoine X, Bouaziz O, Habraken AM, Duchêne L. A finite element analysis of the bending and the bendability of metallic sheets. Int J Mater Form. 2011;4(3):283-297.
2019	Muhammad W, Ali U, Brahme AP, Kang J, Mishra RK, Inal K. Experimental analyses and numerical modeling of texture evolution and the development of surface roughness during bending of an extruded aluminum alloy using a multiscale modeling framework. Int J Plast. June 2019;117:93-121.
2012	Soyarslan C, Malekipour Gharbi M, Tekkay AE. A combined experimental-numerical investigation of ductile fracture in bending of a class of ferritic-martensitic steel. Int J Solids Struct. June 15, 2012;49(13):1608-1626.
2010	Ben Bettaieb M, Lemoine X, Duchêne L, Habraken AM. Simulation of the bending process of hardening metallic sheets using damage model, I: theoretical development and numerical implementation. Mater Sci Eng. 2010;A528(1):434-441.
2010	Ben Bettaieb M, Lemoine X, Duchêne L, Habraken AM. Simulation of the bending process of hardening metallic sheets using damage model, II: numerical investigations. Mater Sci Eng. 2010;A528(1):442-448.
2013	Mattei L, Daniel D, Guiglionda G, Klöcker H, Driver J. Strain localization and damage mechanisms during bending of AA6016 sheet. Mater Sci Eng. January 1, 2013;A559:812-821.
2019	Muhammad W, Kang J, Brahme AP, Ali U, Hirsch J, Brinkman H-J, Engler O, Mishra RK, Inal K. Bendability enhancement of an age-hardenable aluminum alloy, I: relationship between microstructure, plastic deformation and fracture. Mater Sci Eng. April 10, 2019;A753:179-191.
2019	Muhammad W, Brahme AP, Ali U, Hirsch J, Engler O, Aretz H, Kang J, Mishra RK, Inal K. Bendability enhancement of an age-hardenable aluminum alloy, II: multiscale numerical modeling of shear banding and fracture. Mater Sci Eng. April 29, 2019;A754:161-177.
2020	Lu G, Wang J, Liu Y, Liu C. Effect of heating rate during solution treatment on the bendability of Al–Mg–Si alloys. Mater Sci Eng. July 22, 2020;A791:139604.
2015	Hollenberg F. Bending Dual-Phase Steel: A Finite Element Analysis [Master's thesis]. Delft University of Technology; August 15, 2015.
2015	Liimatainen M. The Effect of Microstructure on Bendability of Ultra-High Strength Steels [Master's thesis]. Tampere University of Technology; March 2015.
2018	Cyr ED. A New Crystal Plasticity Formulation to Simulate Large-Strain Plasticity of Polycrystalline Metals At Elevated Temperatures [PhD thesis]. University of Waterloo; 2018.