OPTIMAL CONTROL OF STATIC ELASTOPLASTICITY IN PRIMAL FORMULATION

被引：7

作者：

Carlos De Los Reyes, Juan ^{[1
]}

Herzog, Roland ^{[2
]}

Meyer, Christian ^{[3
]}

机构：

[1] EPN Quito, Res Ctr Math Modelling MODEMAT, Quito, Ecuador

[2] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany

[3] TU Dortmund, Fac Math, Vogelpothsweg 87, D-11227 Dortmund, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2016年 / 54卷 / 06期

关键词：

optimal control; first-order necessary optimality conditions; mathematical program with equilibrium constraints (MPEC); variational inequality of the second kind; elastoplasticity; CONSTRAINED OPTIMAL-CONTROL; VARIATIONAL-INEQUALITIES; COMPLEMENTARITY CONSTRAINTS; MATHEMATICAL PROGRAMS; STATIONARITY; SENSITIVITY; PLASTICITY; EQUATIONS;

D O I：

10.1137/130920861

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An optimal control problem of static plasticity with linear kinematic hardening and von Mises yield condition is studied. The problem is treated in its primal formulation, where the state system is a variational inequality of the second kind. First-order necessary optimality conditions are obtained by means of an approximation by a family of control problems with state system regularized by Huber-type smoothing, and a subsequent limit analysis. The equivalence of the optimality conditions with the C-stationarity system for the equivalent dual formulation of the problem is proved. Numerical experiments are presented, which demonstrate the viability of the Huber-type smoothing approach.

引用

页码：3016 / 3039

页数：24

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