Convergence of adaptive finite element methods in elastoplasticity | Zendy

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Convergence of adaptive finite element methods in elastoplasticity

Author(s) -

Carstensen Carsten,

Orlando Antonio

Publication year - 2005

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200510386

Subject(s) - finite element method , variational inequality , convergence (economics) , mathematics , plasticity , hardening (computing) , property (philosophy) , mixed finite element method , mathematical optimization , mathematical analysis , structural engineering , materials science , engineering , composite material , philosophy , epistemology , layer (electronics) , economics , economic growth

We show that an adaptive conforming finite element method for the solution of a variational inequality of the second kind, as model of one implicit time step of the primal problem of plasticity with positive hardening, yields the energy reduction property and the R ‐linear convergence of the stresses. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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