Volume 26, 2020
|Number of page(s)||32|
|Published online||17 November 2020|
Optimal control of static contact in finite strain elasticity
Chair of Applied Mathematics, University of Bayreuth,
* Correspondinding author: firstname.lastname@example.org
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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