@article{941c911ef054407d98a4fe48bf2ee569,
title = "Wellposedness of kinematic hardening models in elastoplasticity",
abstract = "We consider a certain type of rate independent elastoplastic constitutive laws for nonlinear kinematic hardening which include the models of Frederick-Armstrong, Bower and Mr{\'o}z. We prove results concerning existence, uniqueness and continuous dependence for the stress-strain evolution considered as a function of time (but not of space). As an auxiliary result, we also prove a theorem concerning the Lipschitz continuity of the vector play operator.",
author = "Martin Brokate and Pavel Krej{\v c}{\'i}",
note = "Funding Information: (*) Manuscript received February 27, 1996, revised October 30, 1996. ({\textquoteleft}) Mathematisches Seminar, Universitlt Kiel, 24098 Kiel, Germany, “Anwendungsorientierte Verbundprojekte auf dem Gebiet der Mathematik”. t Institute of Mathematics, Academy of Sciences, iitna 25, 11.567 Praha, Kiel. \$ Partially supported by the Grant Agency of the Czech Republic under Funding Information: The financial support of the BMBF as well as the hospitality of the University of Kiel during the second author{\textquoteright}s stay in October 1995 are gratefully acknowledged.",
year = "1998",
doi = "10.1051/m2an/1998320201771",
language = "English",
volume = "32",
pages = "177--209",
journal = "Mathematical Modelling and Numerical Analysis",
issn = "0764-583X",
publisher = "EDP Sciences",
number = "2",
}