Abstract
Rate independent evolutions can be formulated as operators, called hysteresis operators, between suitable function spaces. In this paper, we present some results concerning the existence and the form of directional derivatives and of Hadamard derivatives of such operators in the scalar case, that is, when the driving (input) function is a scalar function.
| Original language | English |
|---|---|
| Pages (from-to) | 2405-2421 |
| Number of pages | 17 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 35 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Jun 2015 |
Keywords
- Accumulated maximum
- Differentiability
- Evolution variational inequalities
- Gliding maximum
- Hysteresis
- Play
- Prandtl-ishlinskii
- Preisach
- Rate independence