Models for Cyclic Ratchetting Plasticity - Integration and Calibration

Three well-known ratchetting models for metals with different hardening rules were calibrated using uniaxial experimental data from Bower (1989), and implemented in the FE code ABAQUS (Hibbitt et at., 1997) to predict ratchetting results for a tension-torsion specimen. The models were integrated numerically by the implicit Backward Euler rule, and the material parameters were calibrated via optimization for the uniaxial experimental data. The algorithmic tangent stiffnesses of the models were derived to obtain efficient FE implementations. The calculated results for an FE model of the tension-torsion specimen were compared to experimental results. The model proposed by Jiang and Sehitoglu (1995) showed the best agreement both for the uniaxial and the structural component case.

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

[2]  Huseyin Sehitoglu,et al.  Rolling contact stress analysis with the application of a new plasticity model , 1996 .

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

[4]  Huseyin Sehitoglu,et al.  Modeling of cyclic ratchetting plasticity, part i: Development of constitutive relations , 1996 .

[5]  Nobutada Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part II: Application to experiments of ratchetting behavior , 1993 .

[6]  Georges Cailletaud,et al.  Integration methods for complex plastic constitutive equations , 1996 .

[7]  Jean-Louis Chaboche,et al.  Constitutive Modeling of Ratchetting Effects—Part I: Experimental Facts and Properties of the Classical Models , 1989 .

[8]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

[9]  K. Johnson,et al.  The influence of strain hardening on cumulative plastic deformation in rolling and sliding line contact , 1989 .

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

[11]  N. Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behavior , 1993 .

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

[13]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[14]  J. Beynon,et al.  The Interaction of Wear and Rolling Contact Fatigue , 1997 .

[15]  Huseyin Sehitoglu,et al.  Modeling of cyclic ratchetting plasticity, Part II: Comparison of model simulations with experiments , 1996 .

[16]  Jean-Louis Chaboche,et al.  On some modifications of kinematic hardening to improve the description of ratchetting effects , 1991 .

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

[18]  K. Bathe Finite Element Procedures , 1995 .

[19]  K. Johnson,et al.  Plastic flow and shakedown of the rail surface in repeated wheel-rail contact , 1991 .