A constitutive model of cyclic plasticity

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A self-optimizing inverse analysis method for estimation of cyclic elasto-plasticity model parameters (2011, background): “…Jiao, 2004; Chen et al., 2005; Jiang and Kurath, 1997a; Khan and Cheng, 1996; Krishna, 2009; Mayama et al., 2004; Moosbrugger et al., 2008; Ohno and Wang, 1991, 1993; Sai and Cailletaud, 2007; Taleb and Hauet, 2009; Taleb et al., 2006; Wolff and Taleb, 2008; Yoshida, 2000; Zhang and Jiang, 2008).”
Identification of elasto-visco-plastic parameters and characterization of Lüders behavior using digital image correlation and the virtual fields method (2008, methodology): “(13) or (14) depends on the cumulative plastic strain p [3, 16]; γ is the product of the number of dislocations by the elementary velocity of each dislocation (norm of the Burgers vector [1]).”
On the Ohno–Wang kinematic hardening rules for multiaxial ratcheting modeling of medium carbon steel (2005, background): “Kinematic hardening rules in constitutive models are essential for cyclic plasticity simulations (Chun et al., 2001; Yoshida, 2000; Yoshida and Uemori, 2002; Geng et al., 2002; Yaguchi et al., 2002; Voyiadjis et al., 2003; Iyera and Lissenden, 2003; Colak, 2004; Kyriakides et al., 2004).”