Geodesic
Optimal control of static contact in finite strain elasticity
ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 95.

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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.

DOI : 10.1051/cocv/2020014
Classification : 49J20, 74B20, 74M15
Keywords: Nonlinear elasticity, optimal control, contact problem 
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Schiela, Anton; Stoecklein, Matthias. Optimal control of static contact in finite strain elasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 95. doi : 10.1051/cocv/2020014. http://geodesic.mathdoc.fr/articles/10.1051/cocv/2020014/

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