Stephan Walther - Optimal Control of Plasticity with Inertia

jnsao:7156 - Journal of Nonsmooth Analysis and Optimization, November 1, 2021, Volume 2 - https://doi.org/10.46298/jnsao-2021-7156
Optimal Control of Plasticity with Inertia

Authors: Stephan Walther

The paper is concerned with an optimal control problem governed by the equations of elasto plasticity with linear kinematic hardening and the inertia term at small strain. The objective is to optimize the displacement field and plastic strain by controlling volume forces. The idea given in [10] is used to transform the state equation into an evolution variational inequality (EVI) involving a certain maximal monotone operator. Results from [27] are then used to analyze the EVI. A regularization is obtained via the Yosida approximation of the maximal monotone operator, this approximation is smoothed further to derive optimality conditions for the smoothed optimal control problem.


Volume: Volume 2
Section: Original research articles
Published on: November 1, 2021
Accepted on: November 1, 2021
Submitted on: February 5, 2021
Keywords: Mathematics - Optimization and Control,49J20, 49K20, 74C10


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