To describe hysteresis effects like magnetization or elasto-plastic behavior models involving hysteresis operators are used. The parameter within these operators are subject to uncertainties, since they have to be identified from measurements.
To quantify the influence of these uncertainties, the parameter in the hysteresis operator are considered as functions of random variables. This allows to apply the methods of \emph{Uncertainty Quantification (UQ)} to the considered models. Performing UQ for models involving hysteresis effects, we get new random variables describing the uncertain outputs of the and we can compute stochastic properties of the output of the model.
As example, forward UQ for a play operator with uncertain yield limits is shown. Moreover, starting from measured data for an Terfenol actuator, the identification of the parameters and their uncertainty within the hysteresis operator in the corresponding model is discussed.