Earing Prediction in Drawing and Ironing Processes Using an Advanced Yield Criterion

This work aims to contribute to the understanding of the role/influence of advanced yield criteria on the earing profile prediction after drawing and ironing, for a cylindrical cup benchmark proposed at the NUMISHEET 2011 conference [1]. Two typical materials used for can-making were considered and studied: an AA5042 aluminum alloy and an AKDQ steel. The drawing and ironing operations are performed on a special die which allows drawing and ironing in one single punch stroke in order to simplify the real process. The benchmark results report include, for each material: (i) the earing profile after drawing and ironing, presenting the cup height evolution with the angle from the rolling direction, and (ii) the evolution of punch force with punch stroke. This work presents a comparison between experimental and numerical results obtained for the aforesaid benchmark with DD3IMP in-house solver, using two sets of parameters for the Cazacu and Barlat 2001 [2] yield criterion, identified based on uniaxial tensile, equi-biaxial tension and disc compression test results. The first set uses the initial yield stress values while the second one used the flow stress values for an accumulated plastic work of 20 MPa. The results highlight the different impact of the experimental data in the earing prediction for both materials: the results for the second set are slightly improved for the AKDQ steel while for AA5042 the effect is negligible. The improved earing prediction obtained with the second set for the AKDQ steel seems to result from a better description of the stress states that occur in the flange zone.

[1]  Frédéric Barlat,et al.  Optimization of an Anisotropic Blank Shape Based on Ideal Sheet Forming Design Theory and FEM Analysis , 1995 .

[2]  J. L. Alves,et al.  ONE STEP SPRINGBACK STRATEGIES IN SHEET METAL FORMING , 2002 .

[3]  Sridhar Santhanam,et al.  An algorithm for determining the optimal blank shape for the deep drawing of aluminum cups , 2002 .

[4]  R. Hill A theory of the yielding and plastic flow of anisotropic metals , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  Luís Menezes,et al.  Three-dimensional numerical simulation of the deep-drawing process using solid finite elements , 2000 .

[6]  Luís Menezes,et al.  EARING EVOLUTION DURING DRAWING AND IRONING PROCESSES , 2012 .

[7]  Luís Menezes,et al.  Algorithms and Strategies for Treatment of Large Deformation Frictional Contact in the Numerical Simulation of Deep Drawing Process , 2008 .

[8]  Frédéric Barlat,et al.  A new analytical theory for earing generated from anisotropic plasticity , 2011 .

[9]  Frédéric Barlat,et al.  Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function , 2006 .

[10]  Luís Menezes,et al.  An advanced constitutive model in the sheet metal forming simulation: the Teodosiu microstructural model and the Cazacu Barlat yield criterion , 2004 .

[11]  D. R. Kumar,et al.  Optimization of initial blank shape to minimize earing in deep drawing using finite element method , 2002 .

[12]  Frédéric Barlat,et al.  Generalization of Drucker's Yield Criterion to Orthotropy , 2001 .

[13]  Jonghun Yoon,et al.  Earing predictions for strongly textured aluminum sheets , 2010 .

[14]  R. Sowerby,et al.  Blank development and the prediction of earing in cup drawing , 1996 .

[15]  K J Hoon AN ELASTO-PLASTIC CONSTITUTIVE MODEL WITH PLASTIC STRAIN RATE POTENTIALS FOR ANISOTROPIC CUBIC METALS , 2008 .

[16]  Frédéric Barlat,et al.  Blank shape design for a planar anisotropic sheet based on ideal forming design theory and FEM analysis , 1997 .

[17]  Frédéric Barlat,et al.  Anisotropic plastic potentials for polycrystals and application to the design of optimum blank shapes in sheet forming , 1994 .

[18]  Marta Oliveira,et al.  How to Combine the Parameters of the Yield Criteria and the Hardening Law , 2013 .

[19]  S. Thiruvarudchelvan Three novel techniques for forming hemispherical cups with flexible tooling , 1995 .

[20]  Jeong Whan Yoon,et al.  On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming , 2008 .

[21]  Frédéric Barlat,et al.  A study of the Yld2004 yield function and one extension in polynomial form: A new implementation algorithm, modeling range, and earing predictions for aluminum alloy sheets , 2011 .