Modified kinematic hardening rule for multiaxial ratcheting prediction

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A self-optimizing inverse analysis method for estimation of cyclic elasto-plasticity model parameters (2011, background): “…stress cycling has been substantially advanced in the past several decades (Abdel-Karim, 2009; Chaboche, 1986, 1991; Chaboche et al., 1991; Chen and Jiao, 2004; Chen et al., 2005; Jiang and Kurath, 1997a; Khan and Cheng, 1996; Krishna, 2009; Mayama et al., 2004; Moosbrugger et al., 2008;…”
On the Ohno–Wang kinematic hardening rules for multiaxial ratcheting modeling of medium carbon steel (2005, methodology): “In order to improve predictions over a relatively large number of cycles, an evolution function related to the plastic strain accumulation is introduced for li in a manner similar to Chen and Jiao (2004): R dli 1⁄4 blðlist liÞdp; ð11Þ”