This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Mielke, Alexander2016-03-242019-06-2820110946-8633https://doi.org/10.34657/2434https://oa.tib.eu/renate/handle/123456789/2357We 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.application/pdfeng510Hysteresis operatorsplay operatorPrandtl–Ishlinskii operatorGamma convergence rate-independent systemhomogenizationelastoplasticityplastic plate modelReport