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

Davino, Daniele

Identification of a new class of operators for the modeling of smart materials

The recent spread of smart materials, (e.g. those showing a coupling between variables of different physical nature) and their consequent application to the industrial demand have pushed to increase the effort in their modeling at different scales. At macroscopic scale several of them show nonlinear behaviors along with rate-independent memory. The latter decreases the range for a reliable application for them and pushed to increase the effort in providing adequate phenomenological models. One of the basic issues, when modeling of smart materials is of concern, is the nontrivial thermodynamic constraint (Duhem inequality) to be fulfilled. For this reason in recent years the authors have proposed a fully coupled model [1], based on the exploitation of the classical Preisach operator, for which the formal fulfilling of the thermodynamic constraint is guaranteed. However, such models requires a more complex structure with respect to the Preisach model and this implies the need to define a completely new identification procedure, detailed for a special class of materials of widespread interest, (i.e. Terfenol-D requiring an ad-hoc experimental bench). Therefore in the paper, after the description of model, its basic properties along with its implementation effort, aims to present a novel identification procedure also providing a thorough comparison with experimental data allowing to fully understand the model's potentialities. (joined work with C. Visone)