Parameter identification and modeling of large ratcheting strains in carbon steel

In this paper the parameter identification procedure of a material model for large multi-axial ratcheting strains, as proposed in [Johansson G, Ekh M, Runesson K. Computational modelling of inelastic large ratcheting strains. Int J Plast 2005;20:955-80], is demonstrated. In particular, experimental data for uni-axial and bi-axial ratcheting of carbon steel are considered. The bi-axial experimental data are from [Jiang Y, Sehitoglu H. Cyclic ratcheting of 1070 steel under multiaxial stress states. Int J Plast 1994;10:579-608]. The material parameters are identified by means of optimization algorithms, and a sensitivity analysis is performed.

[1]  A. F. Fossum.  Parameter estimation for an internal variable model using nonlinear optimization and analytical , 1997 .

[2]  Kenneth Runesson,et al.  Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm , 1998 .

[3]  Huseyin Sehitoglu,et al.  Cyclic ratchetting of 1070 steel under multiaxial stress states , 1994 .

[4]  Giulio Maier,et al.  Constitutive model calibration for railway wheel steel through tension-torsion tests , 2005 .

[5]  Matti Ristinmaa,et al.  Damage Evolution in Elasto-Plastic Materials - Material Response Due to Different Concepts , 2003 .

[6]  Matti Ristinmaa,et al.  Kinematic hardening in large strain plasticity , 2003 .

[7]  Zenon Mróz,et al.  On multisurface and integral description of anisotropic hardening evolution of metals , 1996 .

[8]  Vassili Toropov,et al.  IDENTIFICATION OF MATERIAL PARAMETERS IN CONSTITUTIVE MODEL FOR SHEET METALS FROM CYCLIC BENDING TESTS , 1998 .

[9]  Stefan Hartmann,et al.  On the numerical treatment of finite deformations in elastoviscoplasticity , 1997 .

[10]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[11]  R. Ogden.  Non-Linear Elastic Deformations , 1984 .

[12]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

[13]  Tasnim Hassan,et al.  An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation , 2002 .

[14]  Rolf Mahnken,et al.  Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations , 1996 .

[15]  Ch. Tsakmakis,et al.  Discussion of coupled elastoplasticity and damage constitutive equations for small and finite deformations , 2000 .

[16]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[17]  M. Ekh.  Thermo-Elastic-Viscoplastic Modeling of IN792 , 2001 .

[18]  J. Chaboche.  Continuum Damage Mechanics: Part II—Damage Growth, Crack Initiation, and Crack Growth , 1988 .

[19]  David L. McDowell,et al.  Stress state dependence of cyclic ratchetting behavior of two rail steels , 1995 .

[20]  Paul Steinmann,et al.  A framework for geometrically nonlinear continuum damage mechanics , 1998 .

[21]  K. Runesson,et al.  Computational modeling of inelastic large ratcheting strains , 2005 .

[22]  Allan F. Bower,et al.  Cyclic hardening properties of hard-drawn copper and rail steel , 1989 .

[23]  Bob Svendsen,et al.  Hyperelastic models for elastoplasticity with non-linear isotropic and kinematic hardening at large deformation , 1998 .

[24]  J. Chaboche.  Continuum Damage Mechanics: Part I—General Concepts , 1988 .

[25]  B. Karlsson,et al.  Fatigue behaviour of rail steel—a comparison between strain and stress controlled loading , 2005 .

[26]  Kenneth Runesson,et al.  Efficient integration technique for generalized viscoplasticity coupled to damage , 1999 .

[27]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[28]  Kenneth Runesson,et al.  Modeling and numerical issues in hyperelasto-plasticity with anisotropy , 2001 .

[29]  Paul Steinmann,et al.  A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage , 2005 .

[30]  Kenneth Runesson,et al.  Bifurcation results for plasticity coupled to damage with MCR-effect , 2000 .

[31]  S. Reese,et al.  On the theoretical and numerical modelling of Armstrong–Frederick kinematic hardening in the finite strain regime , 2004 .

[32]  N. Ohno.  CONSTITUTIVE MODELING OF CYCLIC PLASTICITY WITH EMPHASIS ON RATCHETTING , 1998 .

[33]  S. Kyriakides,et al.  Ratcheting in cyclic plasticity, part II: Multiaxial behavior , 1992 .

[34]  Magnus Ekh,et al.  Models for Cyclic Ratchetting Plasticity - Integration and Calibration , 2000 .

[35]  Ch. Tsakmakis,et al.  Description of plastic anisotropy effects at large deformations—part I: restrictions imposed by the second law and the postulate of Il'iushin , 2004 .

[36]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

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

[38]  G. Cailletaud,et al.  Numerical techniques for cyclic plasticity at variable temperature , 1986 .

[39]  Tasnim Hassan,et al.  Anatomy of coupled constitutive models for ratcheting simulation , 2000 .

[40]  Rolf Mahnken,et al.  A comprehensive study of a multiplicative elastoplasticity model coupled to damage including parameter identification , 2000 .