Nonlinear Differential Equations and Applications NoDEA

, Volume 13, Issue 4, pp 385–411

Global stability of the Armstrong-Frederick model with periodic biaxial inputs

Article

DOI: 10.1007/s00030-006-4015-y

Cite this article as:
Brokate, M. & Rachinskii, D. Nonlinear differ. equ. appl. (2006) 13: 385. doi:10.1007/s00030-006-4015-y
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Abstract.

The paper is concerned with the study of plasticity models described by differential equations with stop and play operators. We suggest sufficient conditions for the global stability of a unique periodic solution for the scalar models and for the vector models with biaxial inputs of a particular form, namely the sum of a uniaxial function and a constant term. For another class of simple biaxial inputs, we present an example of the existence of unstable periodic solutions.

2000 Mathematics Subject Classification:

47J4074C05

Keywords:

Hysteresisratchettingplasticity modelperiodic solutionglobal stability

Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Zentrum MathematikTechnische Universität MünchenGarching b. MünchenGermany
  2. 2.Department of Applied MathematicsUniversity College CorkCorkIreland