A multiscale approach to modeling formability of dual-phase steels

A multiscale modeling approach is used to predict how the formability of dual-phase (DP) steels depend on the properties of their constituent phases and microstructure. First, the flow behavior of the steels is predicted using microstructure-based finite element simulations of their 3D representative volume elements, wherein the two phases (ferrite and martensite) are discretely modeled using crystal plasticity constitutive models. These results are then used to calibrate homogenized constitutive models which are then used in large-scale finite element simulations to compute the forming limit diagrams (FLDs). The multiscale approach is validated by predicting the FLDs of two commercial DP steels and comparing the predictions with experimental measurements. Subsequently, the approach is used to compute flow behavior and FLDs of a series of 'virtual' DP steels, constructed by varying the microstructural parameters in the commercial DP steels. The results of these computations suggest that combining the ferrite from one of the two commercial steels with the martensite of the other and optimizing the phase volume fractions can yield 'virtual' steels with substantially improved properties. These include a material with an FLD0 (plane strain) that exceeds those of the commercial steels by 75% without a degradation in strength; and a material with a flow strength (0.2% offset) that exceeds those of the commercial steels by ~30% without degradation of formability.

[1]  Viggo Tvergaard,et al.  LIMITS TO FORMABILITY IN RATE-SENSITIVE METAL SHEETS , 1984 .

[2]  D. P. Koistinen,et al.  A general equation prescribing the extent of the austenite-martensite transformation in pure iron-carbon alloys and plain carbon steels , 1959 .

[3]  Dennis M. Dimiduk,et al.  Microstructure–Property–Design Relationships in the Simulation Era: An Introduction , 2011 .

[4]  D. Matlock,et al.  On the deformation behavior of dual-phase steels , 1979 .

[5]  T. Hatem,et al.  Dislocation density crystalline plasticity modeling of lath martensitic microstructures in steel alloys , 2009 .

[6]  Formability prediction of advanced high strength steels using constitutive models characterized by uniaxial and biaxial experiments , 2013 .

[7]  E. Werner,et al.  Forming limit diagrams: a micromechanical approach , 2000 .

[8]  Toshiaki Urabe,et al.  Effects of Microstructure on Stretch-flange-formability of 980 MPa Grade Cold-rolled Ultra High Strength Steel Sheets , 2004 .

[9]  A. Motta,et al.  Strain localization in sheet metal containing a geometric defect , 2000 .

[10]  R. Kuziak,et al.  Advanced high strength steels for automotive industry , 2008 .

[11]  Jitesh H. Panchal,et al.  Key computational modeling issues in Integrated Computational Materials Engineering , 2013, Comput. Aided Des..

[12]  Development of a heterogeneous microstructurally based finite element model for the prediction of forming limit diagram for sheet material , 2006 .

[13]  R. G. Davies Influence of silicon and phosphorous on the mechanical properties of both ferrite and dual-phase steels , 1979 .

[14]  D. Bhattacharya,et al.  Metallurgical Perspectives on Advanced Sheet Steels for Automotive Applications , 2011 .

[15]  Robert H. Wagoner,et al.  Finite element modeling simulation of in-plane forming limit diagrams of sheets containing finite defects , 1991 .

[16]  C. Weinberger,et al.  Incorporating atomistic data of lattice friction into BCC crystal plasticity models , 2012 .

[17]  N. Iwata,et al.  Multiscale prediction of mechanical behavior of ferrite–pearlite steel with numerical material testing , 2012 .

[18]  Comparison of Forming Limit Curves for Advanced High Strength Steels Using Different Techniques , 2009 .

[19]  John L. Bassani,et al.  Latent hardening in single crystals. II. Analytical characterization and predictions , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[20]  U. F. Kocks Laws for Work-Hardening and Low-Temperature Creep , 1976 .

[21]  M. S. Rashid Dual Phase Steels , 1981 .

[22]  George T. Hahn,et al.  Effect of geometrical defects in forming sheet steel by biaxial stretching , 1988 .

[23]  Baiyan He,et al.  Measuring forming limit strains with digital image correlation analysis , 2014 .

[24]  W. Hosford,et al.  Forming Limit Diagrams , 2007 .

[25]  R. G. Davies Influence of martensite composition and content on the properties of dual phase steels , 1978 .

[26]  J. Rice,et al.  Limits to ductility set by plastic flow localization , 1978 .

[27]  G. B. Olson,et al.  Computational Design of Hierarchically Structured Materials , 1997 .

[28]  Gorton M. Goodwin,et al.  Application of Strain Analysis to Sheet Metal Forming Problems in the Press Shop , 1968 .

[29]  Ling Zhang,et al.  A New Method for Determination of Forming Limit Diagram Based on Digital Image Correlation , 2013 .

[30]  P. Abramowitz,et al.  Silicon-Carbon interaction and its effect on the notch toughness of mild steel , 1970 .

[31]  S. P. Keeler Plastic instability and fracture in sheets stretched over rigid punches , 1961 .

[32]  K. Terada,et al.  A method of predicting macroscopic yield strength of polycrystalline metals subjected to plastic forming by micro–macro de-coupling scheme , 2010 .

[33]  J. Embury,et al.  Formability of Dual-Phase Steels , 1982 .

[34]  F. Barlat,et al.  Experimental and theoretical formability analysis using strain and stress based forming limit diagram for advanced high strength steels , 2013 .

[35]  A. Bower,et al.  Microscale-calibrated modeling of the deformation response of low-carbon martensite , 2013 .

[36]  O. Hopperstad,et al.  Estimation of forming limit diagrams by the use of the finite element method and Monte Carlo simulation , 2009 .

[37]  John W. Hutchinson,et al.  Sheet Necking-II. Time-Independent Behavior , 1978 .

[38]  Z. Marciniak,et al.  Limit strains in the processes of stretch-forming sheet metal , 1967 .

[39]  V. Uthaisangsuk,et al.  Microstructure based prediction of strain hardening behavior of dual phase steels , 2012 .

[40]  S. S. Hansen The formability of dual-phase steels , 1982 .

[41]  Xin Sun,et al.  Integrated Computational Materials Engineering (ICME) for Third Generation Advanced High-Strength Steel Development , 2015 .

[42]  J. Greer,et al.  Deformation response of ferrite and martensite in a dual-phase steel , 2014 .

[43]  Sriram Sadagopan,et al.  Microscale-calibrated modeling of the deformation response of dual-phase steels , 2014 .

[44]  A. Sachdev Effect of retained austenite on the yielding and deformation behavior of a dual phase steel , 1983 .

[45]  E. Giessen,et al.  Crystal plasticity forming limit diagram analysis of rolled aluminum sheets , 1998 .

[46]  U. Prahl,et al.  Characterisation of formability behaviour of multiphase steels by micromechanical modelling , 2009 .

[47]  Multiscale modeling of plastic deformation of molybdenum and tungsten: II. Yield criterion for single crystals based on atomistic studies of glide of 1/2〈111〉 screw dislocations , 2008, 0807.2771.

[48]  Peng Chen,et al.  Micromechanics of plastic deformation and phase transformation in a three-phase TRIP-assisted advanced high strength steel: Experiments and modeling , 2015 .

[49]  William J. Joost,et al.  Reducing Vehicle Weight and Improving U.S. Energy Efficiency Using Integrated Computational Materials Engineering , 2012 .

[50]  A. Rollett,et al.  Statistically representative three-dimensional microstructures based on orthogonal observation sections , 2004 .

[51]  G. B. Olson,et al.  Designing a New Material World , 2000, Science.