| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 95 | |
| Number of page(s) | 32 | |
| DOI | https://doi.org/10.1051/cocv/2020014 | |
| Published online | 17 November 2020 | |
Optimal control of static contact in finite strain elasticity
Chair of Applied Mathematics, University of Bayreuth,
Bayreuth, Germany.
* Correspondinding author: matthias.stoecklein@uni-bayreuth.de
Received:
3
December
2018
Accepted:
19
March
2020
We consider the optimal control of elastic contact problems in the regime of finite deformations. We derive a result on existence of optimal solutions and propose a regularization of the contact constraints by a penalty formulation. Subsequential convergence of sequences of solutions of the regularized problem to original solutions is studied. Based on these results, a numerical path-following scheme is constructed and its performance is tested.
Mathematics Subject Classification: 49J20 / 74B20 / 74M15
Key words: Nonlinear elasticity / optimal control / contact problem
© EDP Sciences, SMAI 2020
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