Constitutive modeling of strain range dependent cyclic hardening

Abstract In this paper, a new approach for constitutive modeling of strain range dependent cyclic hardening is proposed by extending the kinematic hardening model based on the critical state of dynamic recovery. It is assumed that isotropic, as well as kinematic, hardening consists of several parts, and that each part of isotropic hardening evolves when the corresponding part of kinematic hardening is in the critical state of dynamic recovery. The extended model is capable of simulating the cyclic hardening behavior in which different characteristics of cyclic hardening appear depending on strain range. The model is verified by simulating the relatively large cyclic straining tests of 304 stainless steel at ambient temperature, in which cyclic hardening does not stabilize before rupture if strain range exceeds a certain value. The model is further verified by predicting the history dependence of cyclic hardening under incremental cyclic loading and the maximum plastic strain dependence of strain hardening in cyclic tension.

[1]  N. Ohno,et al.  Ratchetting characteristics of 316FR steel at high temperature, part I: Strain-controlled ratchetting experiments and simulations , 1998 .

[2]  D. McDowell.  An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity , 1987 .

[3]  E. Tanaka,et al.  Effects of strain path shapes on non-proportional cyclic plasticity , 1985 .

[4]  J. C. Moosbrugger,et al.  A rate-dependent bounding surface model with a generalized image point for cyclic nonproportional viscoplasticity , 1990 .

[5]  M. Mizuno,et al.  UNIAXIAL RATCHETING OF 316FR STEEL AT ROOM TEMPERATURE , 2000 .

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

[7]  David L. McDowell,et al.  A nonlinear kinematic hardening theory for cyclic thermoplasticity and thermoviscoplasticity , 1992 .

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

[9]  Nobutada Ohno,et al.  Recent Topics in Constitutive Modeling of Cyclic Plasticity and Viscoplasticity , 1990 .

[10]  Nobutada Ohno.  SECTION 4.6 – Kinematic Hardening Rule with Critical State of Dynamic Recovery , 2001 .

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

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

[13]  J. Chaboche,et al.  On the Plastic and Viscoplastic Constitutive Equations—Part II: Application of Internal Variable Concepts to the 316 Stainless Steel , 1983 .

[14]  Nobutada Ohno,et al.  A Constitutive Model of Cyclic Plasticity With a Nonhardening Strain Region , 1982 .

[15]  Nobutada Ohno,et al.  Transformation of a nonlinear kinematic hardening rule to a multisurface form under isothermal and nonisothermal conditions , 1991 .

[16]  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 .

[17]  J. Lemaître,et al.  Handbook of materials behavior models , 2001 .

[18]  Peter Kurath,et al.  Characteristics of the Armstrong-Frederick type plasticity models , 1996 .

[19]  Xianjie Yang.  Constitutive Description of Temperature-Dependent Nonproportional Cyclic Viscoplasticity , 1997 .

[20]  S. H. Choi,et al.  Viscoplasticity theory based on overstress : the modeling of ratchetting and cyclic hardening of AISI type 304 stainless steel , 1992 .

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

[22]  G. Voyiadjis,et al.  A plasticity model for multiaxial cyclic loading and ratchetting , 1998 .

[23]  J. Chaboche,et al.  On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed With Internal Variable Concept , 1983 .

[24]  E. Krempl.  An experimental study of room-temperature rate-sensitivity, creep and relaxation of AISI type 304 stainless steel , 1979 .

[25]  F. Ellyin,et al.  A rate-independent constitutive model for transient non-proportional loading , 1989 .

[26]  Guozheng Kang,et al.  A visco–plastic constitutive model incorporated with cyclic hardening for uniaxial/multiaxial ratcheting of SS304 stainless steel at room temperature , 2002 .

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

[28]  Guozheng Kang,et al.  Uniaxial cyclic ratcheting and plastic flow properties of SS304 stainless steel at room and elevated temperatures , 2002 .

[29]  N. Ohno,et al.  Uniaxial Ratchetting of 316FR Steel at Room Temperature— Part II: Constitutive Modeling and Simulation , 2000 .

[30]  D. Kujawski,et al.  An experimental study of uniaxial creep, cyclic creep and relaxation of aisi type 304 stainless steel at room temperature , 1980 .

[31]  G. Kang,et al.  Experimental study on uniaxial and nonproportionally multiaxial ratcheting of SS304 stainless steel at room and high temperatures , 2002 .

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

[33]  E. Tanaka,et al.  A nonproportionality parameter and a cyclic viscoplastic constitutive model taking into account amplitude dependences and memory effects of isotropic hardening. , 1994 .

[34]  N. Ohno,et al.  Uniaxial Ratchetting of 316FR Steel at Room Temperature— Part I: Experiments , 2000 .

[35]  N. Ohno,et al.  Kinematic hardening model suitable for ratchetting with steady-state , 2000 .

[36]  Tatsuo Inoue,et al.  Inelastic analysis of new thermal ratchetting due to a moving temperature front , 2002 .

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

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

[39]  Nobutada Ohno,et al.  Implementation of cyclic plasticity models based on a general form of kinematic hardening , 2002 .

[40]  Yukio Takahashi,et al.  Constitutive Modeling of Anisothermal Cyclic Plasticity of 304 Stainless Steel , 1989 .

[41]  Ahmed Benallal,et al.  Constitutive Equations for Nonproportional Cyclic Elasto-Viscoplasticity , 1987 .

[42]  J. Chaboche,et al.  Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel , 1979 .

[43]  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 .

[44]  J. Chaboche,et al.  Modeling of ratchetting: evaluation of various approaches , 1994 .

[45]  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 .

[46]  H. Takahashi,et al.  Backlash model for large deformation behavior of aluminum under torsional cyclic loading , 1991 .

[47]  Z. Zhang,et al.  Anisothermal cyclic plasticity modelling of martensitic steels , 2002 .

[48]  N. Ohno,et al.  A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials , 1986 .