An Improvement of Multiaxial Ratchetting Modeling Via Yield Surface Distortion

Many theoretical studies have been made to describe multiaxial ratchetting and most of them have been concentrated on the location of the yield domain, not on its shape. In this paper; we introduce nonlinear kinematic constitutive equations consistent with ratchetting modeling into the distortional model of subsequent yield surfaces proposed by Kurtyka, T., and Zyczkowski, M. We use an efficient polycrystalline model to simulate complex tests including yield surface detections in order to get some reference predictions to use in the development of the constitutive laws introduced into the distoritional model. The distortional model is thus qualitatively identified with the polycrystalline model and then quantitatively identified with the experimental results on a type 316L stainless steel. It gives promising results.

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

[2]  M. Życzkowski,et al.  Evolution equations for distortional plastic hardening , 1996 .

[3]  P. Robinet,et al.  Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension–torsion-internal and external pressure , 2001 .

[4]  J. Beynon,et al.  Prediction of fatigue crack initiation for rolling contact fatigue , 2000 .

[5]  Jonas W. Ringsberg,et al.  Cyclic ratchetting and failure of a pearlitic rail steel , 2000 .

[6]  M. Ruggles,et al.  The Influence of Test Temperature on the Ratchetting Behavior of Type 304 Stainless Steel , 1989 .

[7]  P. Delobelle.  Synthesis of the elastoviscoplastic behavior and modelization of an austenitic stainless steel over a large temperature range, under uniaxial and biaxial loadings, part II: Phenomenological modelization , 1993 .

[8]  G. Cailletaud.  A micromechanical approach to inelastic behaviour of metals , 1992 .

[9]  Wei-yang Lu,et al.  An Experimental Investigation of Yield Surfaces and Loading Surfaces of Pure Aluminum With Stress-Controlled and Strain-Controlled Paths of Loading , 1984 .

[10]  Akhtar S. Khan,et al.  An experimental study on subsequent yield surface after finite shear prestraining , 1993 .

[11]  F. A. Leckie,et al.  Bounding properties of metal-matrix composites subjected to cyclic thermal loading , 1998 .

[12]  J. Chaboche,et al.  Constitutive Modeling of Ratchetting Effects—Part II: Possibilities of Some Additional Kinematic Rules , 1989 .

[13]  Chong-Won Lee,et al.  Yield surfaces and loading surfaces. Experiments and recommendations , 1979 .

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

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

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

[17]  W. Yeh,et al.  On the experimental determination of yield surfaces and some results of annealed 304 stainless steel , 1991 .

[18]  Aris Phillips,et al.  The effect of loading path on the yield surface at elevated temperatures , 1972 .

[19]  D. E. Helling,et al.  Multiaxial yield behavior of 1100 aluminum following various magnitudes of prestrain , 1985 .

[20]  F. Leckie,et al.  On the behaviour of metal matrix composites subjected to cyclic thermal loading , 1998 .

[21]  Stelios Kyriakides,et al.  On the performance of kinematic hardening rules in predicting a class of biaxial ratcheting histories , 1996 .

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

[23]  Huseyin Sehitoglu,et al.  Multiaxial cyclic ratchetting under multiple step loading , 1994 .

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

[25]  P. Delobelle.  Synthesis of the elastoviscoplastic behavior and modelization of an austenitic stainless steel over a large temperature range, under uniaxial and biaxial loadings, part I: Behavior , 1993 .

[26]  P. Robinet,et al.  Experimental study and phenomenological modelization of ratchet under uniaxial and biaxial loading on an austenitic stainless steel , 1995 .

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

[28]  Stelios Kyriakides,et al.  Ratcheting of cyclically hardening and softening materials: II. Multiaxial behavior , 1994 .

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

[30]  W. Szczepiński,et al.  On the effect of biaxial cyclic loading on the yield surface of M-63 brass , 1975 .

[31]  Sylvain Calloch,et al.  Ratchetting under tension–torsion loadings: experiments and modelling , 2000 .

[32]  B. Schinke,et al.  Experiments on the ratchetting behavior of AISI 316L(N) austenitic steel at room temperature , 1996 .

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

[34]  N. Ohno,et al.  Kinematic hardening rules for simulation of ratchetting behavior , 1994 .

[35]  Nobutada Ohno,et al.  Recent progress in constitutive modeling for ratchetting , 1997 .

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

[37]  P. Delobelle,et al.  Behavior and modeling of a 17-12 SPH stainless steel under cyclic, uni and bidirectional, anisothermal loadings. Part I: Behavior , 1996 .