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Optimal control of static plasticity with linear kinematic hardening
Author(s) -
Herzog R.,
Meyer C.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900378
Subject(s) - infinitesimal , kinematics , viscoplasticity , variational inequality , mathematics , plasticity , convergence (economics) , hardening (computing) , optimal control , mathematical optimization , mathematical analysis , control theory (sociology) , control (management) , computer science , classical mechanics , physics , structural engineering , engineering , finite element method , materials science , constitutive equation , artificial intelligence , economic growth , composite material , layer (electronics) , thermodynamics , economics
An optimal control problem for the static problem of infinitesimal elastoplasticity with linear kinematic hardening is considered. The variational inequality arising on the lower‐level is regularized using a Yosida‐type approach, and an optimal control problem for the so‐called viscoplastic model is obtained. Existence of a global optimizer is proved for both the regularized and original problems, and strong convergence of the solutions is established.