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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.