Quasi-Static Evolution for the Armstrong-Frederick Hardening-Plasticity Model | Zendy

Gilles A. Francfort | Zendy; Ulisse Stefanelli | Zendy

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Quasi-Static Evolution for the Armstrong-Frederick Hardening-Plasticity Model

Author(s) -

Gilles A. Francfort,

Ulisse Stefanelli

Publication year - 2013

Publication title -

applied mathematics research express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.763

H-Index - 20

eISSN - 1687-1200

pISSN - 1687-1197

DOI - 10.1093/amrx/abt001

Subject(s) - plasticity , hardening (computing) , materials science , nanotechnology , composite material , layer (electronics)

The Armstrong-Frederick model for nonlinear kinematic hardening is regarded as a benchmark model in contemporary elastoplasticity. This work presents an existence result to an appropriately time-rescaled evolution for that model. To do so, we have to resort to a regularization of the dependence of the convex of plasticity upon the back stress. Such a regularization process seems to be the unfortunate price one has to pay for a successful mathematical analysis.

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