Research Topic

My topic of research is reduced order modeling of high dimensional frictional hysteretic systems. Hysteresis is a history-dependent, approximately rate-independent, irreversible phenomenon observed in e.g., material stress-strain relationships, magnetism. Hysteresis in material behavior is high dimensional and deeply nonlinear. In my first work (PRSA, 2014), we have derived a six-state hysteresis model from a high dimensional frictional system. The low dimensional system captures a wide range hysteretic behavior for variety of temporally complex forcing histories. In a follow up work to the first work (RSOS, 2015), we have studied a more intuitively appealing system from which we have derived a tow-state model with only six parameters. We have demonstrated parameter fitting to match different specified hysteresis loops.