MURPHYS-HSFS-2014 - 7th International Workshop on Multi-Rate Processes & Hysteresis, 2nd International Workshop on Hysteresis and Slow-Fast Systems, April 7-11, 2014 - Abstract
Kaltenbacher, Barbara
After a short overview on hysteresis modelling in piezoelectricity we will dwell on phenomenological hysteresis models based on Preisach operators. Here a key open question has been thermodynamic consistency, which can now be answered in a satisfactory manner by using hysteresis potentials. For this purpose we rely on a model that has been originally proposed by Daniele Davino, Pavel Krejci, and Ciro Visone (Smart Materials and Structures, 2013) in the context of magnetostriction. This model incorporates not only ferroelectricity but also ferroelasticity and, due to its very general form, is highly flexible and can very well be fit to experimental data. Also wellposedness of the system of PDEs resulting from the relevant balance equations (namely Newton's law on the mechanical side and Gauss's law on the electric side) can be proven under suitable conditions.