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Optimal Control of Static Contact in Finite Strain Elasticity

Title data

Schiela, Anton ; Stöcklein, Matthias:
Optimal Control of Static Contact in Finite Strain Elasticity.
Bayreuth , 2018 . - 28 p.

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
Optimal Control of Static Contact in Finite Strain ElasticitySCHI 1379/2-1

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Preprint, postprint, working paper, discussion paper
Additional notes: Preprint Number SPP1962-097
Keywords: nonlinear elasticity; optimal control; contact problem
Subject classification: Mathematics Subject Classification Code: 49J20, 74B20, 74M15
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) > Chair Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 18 Dec 2018 07:22
Last Modified: 14 Mar 2019 14:23
URI: https://eref.uni-bayreuth.de/id/eprint/46682