Generalized Prandtl–Ishlinskii operators arising from homogenization and dimension reduction
Copyright policy )Generalized Prandtl–Ishlinskii operators arising from homogenization and dimension reduction
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 <i> generalized Prandtl-Ishlinskii operator<i>
- Weierstrass Institute Germany
- Leibniz Association Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, elastoplasticity, Hysteresis operators, article, homogenization, Hysteresis operators -- play operator -- Prandtl-Ishlinskii operator -- Gamma convergence -- rate-independent system -- homogenization -- elastoplasticity -- plastic plate model, 34C55, rate-independent system, Prandtl-Ishlinskii operator, 74K20, 510, 74C05, plastic plate model, Gamma convergence, 774Qxx, play operator, 47J40
ddc:510, elastoplasticity, Hysteresis operators, article, homogenization, Hysteresis operators -- play operator -- Prandtl-Ishlinskii operator -- Gamma convergence -- rate-independent system -- homogenization -- elastoplasticity -- plastic plate model, 34C55, rate-independent system, Prandtl-Ishlinskii operator, 74K20, 510, 74C05, plastic plate model, Gamma convergence, 774Qxx, play operator, 47J40
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).10 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!