Generalized Prandtl-Ishlinskii operators arising from homogenization and dimension reduction
Please always quote using this URN:urn:nbn:de:0296-matheon-8789
- We consider rate-independent evolutionary systems over a physically domain Ω that are governed by simple hysteresis operators at each material point. For multiscale systems where ε denotes the ratio between the microscopic and the macroscopic length scale, we show that in the limit ε → 0 we are led to systems where the hysteresis operators at each macroscopic point is a generalized Prandtl-Ishlinskii operator.