Comparison Between Two Experimental Procedures for Cyclic Plastic Characterization of High Strength Steel Sheets

In finite element analysis of sheet metal forming the use of combined isotropic-kinematic hardening models is advisable to improve stamping simulation and springback prediction. This choice becomes compulsory to model recent materials such as high strength steels. Cyclic tests are strictly required to evaluate the parameters of these constitutive models. However, for sheet metal specimens, in case of simple axial tension-compression tests, buckling occurrence during compression represents a serious drawback. This is the reason why alternative set-ups have been devised. In this paper, two experimental arrangements (a cyclic laterally constrained tension-compression test and a three-point fully reversed bending test) are compared so as to point out the advantages and the disadvantages of their application in tuning the well-known Chaboche’s hardening model. In particular, for tension-compression tests, a new clamping device was specifically designed to inhibit compressive instability. Four high strength steel grades were tested: two dual phases (DP), one transformation induced plasticity (TRIP) and one high strength low alloy material (HSLA). Then, the Chaboche’s model was calibrated through inverse identification methods or by means of analytical expressions when possible. The proposed testing procedure proved to be successful in all investigated materials. The achieved constitutive parameters, obtained independently from the two experimental techniques, were found to be consistent. Their accuracy was also been assessed by applying the parameter set obtained from one test to simulate the other one, and vice versa. Clues on what method provides the better transferability are given.

[1]  G. B. Broggiato,et al.  The Chaboche nonlinear kinematic hardening model: calibration methodology and validation , 2008 .

[2]  Bertil Enquist,et al.  Identification of material hardening parameters by three-point bending of metal sheets , 2006 .

[3]  J. K. Lee,et al.  Modeling the Bauschinger effect for sheet metals, part II: applications , 2002 .

[4]  J. K. Lee,et al.  Finite element analysis of the three-point bending of sheet metals , 2002 .

[5]  D. C. Drucker,et al.  On Stress-Strain Relations Suitable for Cyclic and Other Loading , 1981 .

[6]  D. McDowell.  A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part 2: Comparison of Theory With Experiments , 1985 .

[7]  David L. McDowell,et al.  Evaluation of intersection conditions for two-surface plasticity theory , 1989 .

[8]  Fusahito Yoshida,et al.  FE Analysis of Springback in Hat-Bending with Consideration of Initial Anisotropy and the Bauschinger Effect , 2000 .

[9]  Kjell Mattiasson,et al.  On the modelling of the bending–unbending behaviour for accurate springback predictions , 2009 .

[10]  J. Chaboche.  Constitutive equations for cyclic plasticity and cyclic viscoplasticity , 1989 .

[11]  P.-A. Eggertsen,et al.  An efficient inverse approach for material hardening parameter identification from a three-point bending test , 2010, Engineering with Computers.

[12]  J. K. Lee,et al.  Modeling the Bauschinger effect for sheet metals, part I: theory , 2002 .

[13]  R. H. Wagoner,et al.  Springback Analysis with a Modified Hardening Model , 2000 .

[14]  R. H. Wagoner,et al.  Simulation of springback , 2002 .

[15]  Farid Abed-Meraim,et al.  Investigation of advanced strain-path dependent material models for sheet metal forming simulations , 2007 .

[16]  Kwansoo Chung,et al.  Spring-back evaluation of automotive sheets based on isotropic–kinematic hardening laws and non-quadratic anisotropic yield functions, part III: applications , 2005 .

[17]  F. Yoshida,et al.  Simulation of Springback in V-bending Process by Elasto-Plastic Finite Element Method with Consideration of Bauschinger Effect , 1998, Metals and Materials.

[18]  Hans-Werner Ziegler.  A Modification of Prager's Hardening Rule , 1959 .

[19]  Akhtar S. Khan,et al.  Continuum theory of plasticity , 1995 .

[20]  Egor P. Popov,et al.  A model of nonlinearly hardening materials for complex loading , 1975 .

[21]  J. Chaboche.  Time-independent constitutive theories for cyclic plasticity , 1986 .

[22]  C. O. Frederick,et al.  A mathematical representation of the multiaxial Bauschinger effect , 2007 .

[23]  Fusahito Yoshida,et al.  A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation , 2002 .

[24]  Fusahito Yoshida,et al.  A Model of Large-Strain Cyclic Plasticity and its Application to Springback Simulation , 2002 .

[25]  N. T. Tseng,et al.  Simple Plasticity Model of Two-Surface Type , 1983 .

[26]  Frédéric Barlat,et al.  Continuous, large strain, tension/compression testing of sheet material , 2005 .

[27]  Numerical Modeling Technique for Tailor Welded Blanks , 2000 .

[28]  Cristian Teodosiu,et al.  Work-hardening behavior of mild steel under stress reversal at large strains , 1992 .

[29]  L. Hector,et al.  Tensile Deformation and Fracture of TRIP590 Steel from Digital Image Correlation , 2010 .

[30]  David L. McDowell,et al.  A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part 1: Development of Appropriate Equations , 1985 .

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

[32]  Fusahito Yoshida,et al.  Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain , 2002 .

[33]  W. Prager,et al.  A NEW METHOD OF ANALYZING STRESSES AND STRAINS IN WORK - HARDENING PLASTIC SOLIDS , 1956 .

[34]  Zenon Mróz,et al.  On the description of anisotropic workhardening , 1967 .

[35]  K. J. Weinmann,et al.  The Bauschinger Effect of Sheet Metal Under Cyclic Reverse Pure Bending , 1988 .

[36]  Manuel Marya,et al.  Tensile-Shear Forces and Fracture Modes in Single and Multiple Weld Specimens in Dual-Phase Steels , 2006 .

[37]  Zaiqiang Hu.  Work-hardening behavior of mild steel under cyclic deformation at finite strains , 1994 .