Notes on Lipschitz estimates for the stop and play operator in plasticity
type: Item
instance of: scholarly article
title: Notes on Lipschitz estimates for the stop and play operator in plasticity
zbMATH Open document ID: 1190.47084
author: Holger Lang
author: Klaus Dressler
author: René Pinnau
author: Michael Speckert
published in: Applied Mathematics Letters
publication date: 2009-06-09T00:00:00Z
review text: The authors give new Lipschitz estimates for the stop and the play operators in separable Hilbert spaces. The stop and the play operators are important analytical models for hysteresis phenomena. The result in the paper is an extension of the Lipschitz estimates to the case of characteristic containing the origin not necessary as an internal point, and to the case where some different scalar products, given by some suitable operators, are taken into account. Some possible applications of the result are finally outlined.
reviewed by: Fabio Bagagiolo
Mathematics Subject Classification ID: 47J40
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 74C05
zbMATH DE Number: 5563178
zbMATH Keywords: Lipschitz inequalities
zbMATH Keywords: rate independence
zbMATH Keywords: hysteresis
zbMATH Keywords: absolutely continuous functions
zbMATH Keywords: elasticity
zbMATH Keywords: plasticity
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: j.aml.2008.07.004
OpenAlex ID: W1985682384
cites work: Q4376440
cites work: Wellposedness of kinematic hardening models in elastoplasticity
cites work: Q3885291
cites work: Plasticity. Mathematical theory and numerical analysis
cites work: Q3543379
cites work: Q4263209
DOI: 10.1016/J.AML.2008.07.004
description: scientific article; zbMATH DE number 5563178