Multiaxial ratcheting modeling with incorporation of a yield surface distortion model

Correct determination of ratcheting strain is very important in cyclic loading. A new simple yield surface distortion model is presented and its effect on cyclic loading and ratcheting prediction is investigated in this research. Model of Baltov and Sawczuk was modified in order to be able to consider directional distortion of the yield surface. Movement of the yield surface center is modeled by Chaboche's nonlinear kinematic hardening model. Isotropic hardening was also considered. A triangular function is used and necessary cyclic plasticity relations are developed. Convexity of the proposed model is discussed and verified. Performance of the proposed model in ratcheting strain prediction is investigated in multiaxial non proportional loadings under different paths. Experimental results with stress, strain and combined stress-strain control paths are compared with the proposed model results. Incorporation of the yield surface distortion of this new model, predicts better ratcheting strain for different stress, strain and stress-strain paths.

[1]  Jean-Louis Chaboche,et al.  A review of some plasticity and viscoplasticity constitutive theories , 2008 .

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

[3]  Anisotropy due to plastic deformation of initially isotropic mild steel and its analytical formulation , 1975 .

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

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

[6]  C. Yen,et al.  The role of a loading surface in viscoplasticity theory , 1987 .

[7]  C. O. Frederick,et al.  A mathematical representation of the multiaxial Bauschinger effect , 2007 .

[8]  Qi-Chang He,et al.  A more fundamental approach to damaged elastic stress-strain relations , 1995 .

[9]  A. Phillips,et al.  Fundamental experiments in plasticity and creep of aluminum—Extension of previous results , 1976 .

[10]  Distorted yield surfaces – modelling by higher order anisotropic hardening tensors , 1999 .

[11]  Han-chin Wu Effect of loading-path on the evolution of yield surface for anisotropic metals subjected to large pre-strain , 2003 .

[12]  Thomas B. Stoughton,et al.  Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part-I: A very low work hardening aluminum alloy (Al6061-T6511) , 2009 .

[13]  K. Kaneko,et al.  The Influence of the Bauschinger Effect on the Subsequent Yield Condition , 1973 .

[14]  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 .

[15]  Paul Mansour Naghdi,et al.  An experimental study of initial and subsequent yield surfaces in plasticity , 1957 .

[16]  Pericles S. Theocaris,et al.  Experimental investigation of subsequent yield surfaces using the Moiré method , 1965 .

[17]  Thomas B. Stoughton,et al.  Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part II: A very high work hardening aluminum alloy (annealed 1100 Al) , 2010 .

[18]  M. Abdel-Karim,et al.  Modified kinematic hardening rules for simulations of ratchetting , 2009 .

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

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

[21]  Lakhdar Taleb,et al.  An updated version of the multimechanism model for cyclic plasticity , 2010 .

[22]  Katsuhiko Sasaki,et al.  A constitutive model of cyclic viscoplasticity considering changes in subsequent viscoplastic deformation due to the evolution of dislocation structures , 2007 .

[23]  Lakhdar Taleb,et al.  Numerical simulation of complex ratcheting tests with a multi-mechanism model type , 2006 .

[24]  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 .

[25]  Siegfried S. Hecker,et al.  Yield surfaces in prestrained aluminum and copper , 1971 .

[26]  William Prager,et al.  The Theory of Plasticity: A Survey of Recent Achievements , 1955 .

[27]  D. Rees An examination of yield surface distortion and translation , 1984 .

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

[29]  Considerations of translated stress deviators in describing yield surfaces , 1992 .

[30]  Guozheng Kang,et al.  Ratchetting: Recent progresses in phenomenon observation, constitutive modeling and application , 2008 .

[31]  Kyriakos I. Kourousis,et al.  Multiaxial ratcheting with advanced kinematic and directional distortional hardening rules , 2012 .

[32]  G. Cailletaud,et al.  Cyclic accumulation of the inelastic strain in the 304L SS under stress control at room temperature: Ratcheting or creep? , 2011 .

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

[34]  Katsuhiko Sasaki,et al.  Deformation Induced Anisotropy and Memorized Back Stress in Constitutive Model , 1998 .

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

[36]  R. Schmidt,et al.  Über den Zusammenhang von Spannungen und Formänderungen im Verfestigungsgebiet , 1932 .

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

[38]  M. Abdel-Karim,et al.  An evaluation for several kinematic hardening rules on prediction of multiaxial stress-controlled ratchetting , 2010 .

[39]  Michael Wolff,et al.  Consistency for two multi-mechanism models in isothermal plasticity , 2008 .

[40]  A. Nayebi,et al.  Cyclic uniaxial and multiaxial loading with yield surface distortion consideration on prediction of ratcheting , 2012 .

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

[42]  Stress-strain relations in plasticity and related topics : Technical report no. 2: An experimental study of biaxial stress-strain relations in plasticity. , 1954 .

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

[44]  K. S. Kim,et al.  Modeling of ratcheting behavior under multiaxial cyclic loading , 2003 .

[45]  L. H. Lee,et al.  Yielding of 6061-T6 aluminum tubings under dynamic biaxial loadings , 1979 .

[46]  Egor P. Popov,et al.  distortional Hardening Rules for Metal Plasticity , 1983 .

[47]  A. Phillips,et al.  An experimental investigation concerning yield surfaces and loading surfaces , 1977 .

[48]  Lakhdar Taleb,et al.  Influence of non-proportional loading on ratcheting responses and simulations by two recent cyclic plasticity models , 2008 .

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

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

[51]  K. Ikegami,et al.  Analysis of stress-strain relations by use of an anisotropic hardening plastic potential , 1979 .

[52]  Alan K. Miller,et al.  An Experimental Investigation of the Yield Loci of 1100-0 Aluminum, 70:30 Brass, and an Overaged 2024 Aluminum Alloy After Various Prestrains , 1986 .

[53]  Kyriakos I. Kourousis,et al.  Multiplicative AF kinematic hardening in plasticity , 2008 .

[54]  L. Taleb About the cyclic accumulation of the inelastic strain observed in metals subjected to cyclic stress control , 2013 .

[55]  Y. Dafalias,et al.  Simple Model for Directional Distortional Hardening in Metal Plasticity within Thermodynamics , 2008 .

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

[57]  A. Baltov,et al.  A rule of anisotropic hardening , 1965 .

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