A Continuous Vector Preisach Model Based on Vectorial Relay Operators

This article introduces a new variant of a vector Preisach model. It is composed of vector relay operators, and discrete versions have already been used to model hysteretic material behavior in the finite-element analysis. Using a discrete hysteresis model thereby introduces several complications. The variant of the model proposed in this article enables continuous evaluation of the model, given that the model input can be approximated by a piecewise linear function. This is achieved by allowing infinitely many, however, not arbitrarily distributed vector relay operators. This article is limited to the case of relay operators with circularly or spherically shaped corresponding critical surfaces. Model parameters are identified for measured hysteresis loops, and the model is applied in a finite-element analysis.