Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality Conditions

IF 0.7 3区数学 Q2 MATHEMATICS Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2016-01-01 DOI:10.4171/ZAA/1556

G. Wachsmuth

引用次数: 24

Abstract

In this paper we consider an optimal control problem governed by a rate-independent variational inequality arising in quasistatic plasticity with linear kinematic hardening. Since the solution operator of a variational inequality is not differentiable, the KKT system is not a necessary optimality condition. We show a system of weakly stationary type by passing to the limit with the optimality system of a regularized and time-discretized problem.

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线性运动硬化准静态塑性的最优控制III:最优性条件

本文研究了一类由速率无关变分不等式控制的准静态塑性线性运动硬化的最优控制问题。由于变分不等式的解算子是不可微的，所以KKT系统不是必要的最优性条件。用正则化时间离散问题的最优性系统逼近极限，给出了一个弱平稳型系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.

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