Seminar on partial differential equations

On Preisach operators and piezoelectricity modeling

Preisach operators are rate independent hysteresis operators capable of reproducing minor loops, therefore they are well fitted to measurements of smart materials. Benefiting from this observation, some authors have proposed models for piezoelectricity assuming that all hysteresis effects are due to one single Preisach operator. More accurate models though have to account thermal effects. To address this problem, we introduce a notion of parameter-dependent Preisach operator and investigate some properties of its inverse.
This is a joint work with P. Krejci.