TY - JOUR
T1 - Wellposedness of kinematic hardening models in elastoplasticity
AU - Brokate, Martin
AU - Krejčí, Pavel
N1 - Funding Information:
(*) Manuscript received February 27, 1996, revised October 30, 1996. (‘) 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’s stay in October 1995 are gratefully acknowledged.
PY - 1998
Y1 - 1998
N2 - We consider a certain type of rate independent elastoplastic constitutive laws for nonlinear kinematic hardening which include the models of Frederick-Armstrong, Bower and Mróz. 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.
AB - We consider a certain type of rate independent elastoplastic constitutive laws for nonlinear kinematic hardening which include the models of Frederick-Armstrong, Bower and Mróz. 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.
UR - http://www.scopus.com/inward/record.url?scp=0040427779&partnerID=8YFLogxK
U2 - 10.1051/m2an/1998320201771
DO - 10.1051/m2an/1998320201771
M3 - Article
AN - SCOPUS:0040427779
SN - 0764-583X
VL - 32
SP - 177
EP - 209
JO - Mathematical Modelling and Numerical Analysis
JF - Mathematical Modelling and Numerical Analysis
IS - 2
ER -