Evaluation of cyclic plasticity models in ratcheting simulation of straight pipes under cyclic bending and steady internal pressure

Abstract This paper evaluates seven cyclic plasticity models for structural ratcheting response simulations. The models evaluated are bilinear (Prager), multilinear (Besseling), Chaboche, Ohno–Wang, Abdel Karim–Ohno, modified Chaboche (Bari and Hassan) and modified Ohno–Wang (Chen and Jiao). The first three models are already available in the ANSYS finite element package, whereas the last four were implemented into ANSYS for this study. Experimental responses of straight steel pipes under cyclic bending with symmetric end rotation history and steady internal pressure were recorded for the model evaluation study. It is demonstrated that when the model parameters are determined from the material response data, none of the models evaluated perform satisfactorily in simulating the straight pipe diameter change and circumferential strain ratcheting responses. A detailed parameter sensitivity study with the modified Chaboche model was conducted to identify the parameters that influence the ratcheting simulations and to determine the ranges of the parameter values over which a genetic algorithm can search for refinement of these values. The refined parameter values improved the simulations of straight pipe ratcheting responses, but the simulations still are not acceptable. Further, improvement in cyclic plasticity modeling and incorporation of structural features, like residual stresses and anisotropy of materials in the analysis will be essential for advancement of low-cycle fatigue response simulations of structures.

[1]  Vitelmo V. Bertero,et al.  Effect of Large Alternating Strains of Steel Beams , 1965 .

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

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

[4]  C. Hofmayer,et al.  BNL Nonlinear Pre-Test Seismic Analysis for the NUPEC Ultimate Strength Piping Test Program , 2003 .

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

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

[7]  Stelios Kyriakides,et al.  An experimental investigation of the degradation and buckling of circular tubes under cyclic bending and external pressure , 1991 .

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

[9]  K. Sasaki,et al.  Biaxial ratcheting deformation of type 304 stainless steel: Effect of memorization of back stress , 2004 .

[10]  Stelios Kyriakides,et al.  Inelastic Buckling of Tubes Under Cyclic Bending , 1987 .

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

[12]  David R. Owen,et al.  Finite element analysis of non-linear composite materials by use of overlay systems , 1974 .

[13]  Huseyin Sehitoglu,et al.  Comments on the Mroz multiple surface type plasticity models , 1996 .

[14]  Xu Chen,et al.  Modified kinematic hardening rule for multiaxial ratcheting prediction , 2004 .

[15]  G. Kang,et al.  Non-proportionally multiaxial ratcheting of cyclic hardening materials at elevated temperatures: Experiments and simulations , 2005 .

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

[17]  J. Morrow Cyclic Plastic Strain Energy and Fatigue of Metals , 1965 .

[18]  S. Harvey,et al.  Fatigue and ratcheting interactions , 1995 .

[19]  K. K. Vaze,et al.  Uniaxial and biaxial ratchetting study of SA333 Gr.6 steel at room temperature , 2003 .

[20]  Guozheng Kang,et al.  Uniaxial and non-proportionally multiaxial ratcheting of U71Mn rail steel: experiments and simulations , 2002 .

[21]  E. Corona,et al.  Buckling of T-beams under cyclic bending , 1998 .

[22]  G. Cailletaud,et al.  A polycrystalline model for the description of ratchetting : effect of intergranular and intragranular hardening , 2008 .

[23]  Jürgen Rudolph,et al.  Simulation of ratcheting and low cycle fatigue , 2004 .

[24]  Sylvain Calloch,et al.  A general cyclic plasticity model taking into account yield surface distortion for multiaxial ratchetting , 2004 .

[25]  G. Kang,et al.  Time-dependent ratchetting experiments of SS304 stainless steel , 2006 .

[26]  K. K. Vaze,et al.  Uniaxial and biaxial ratchetting in piping materials: experiments and analysis , 2004 .

[27]  K. Sasaki,et al.  Yield Surfaces of SUS304 Under Cyclic Loading , 1988 .

[28]  Guozheng Kang,et al.  Uniaxial time-dependent ratchetting: Visco-plastic model and finite element application , 2007 .

[29]  Edmundo Corona,et al.  Degradation and Buckling of I-Beams under Cyclic Pure Bending , 2004 .

[30]  Xiangyang Lu Influence of Residual Stress on Fatigue Failure of Welded Joints , 2003 .

[31]  Syed Mizanur Rahman Finite Element Analysis and Related Numerical Schemes for Ratcheting Simulation , 2006 .

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

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

[34]  Georges Cailletaud,et al.  Multi-mechanism models for the description of ratchetting: Effect of the scale transition rule and of the coupling between hardening variables , 2007 .

[35]  Stelios Kyriakides,et al.  Inelastic analysis of thin-walled tubes under cyclic bending , 1985 .

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

[37]  Vernon C. Matzen,et al.  Improved ratcheting analysis of piping components , 1998 .

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

[39]  Tasnim Hassan,et al.  Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation , 2001 .

[40]  Edmundo Corona,et al.  Degradation and collapse of square tubes under cyclic bending , 1998 .

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