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Optimal Control of Large Deformation Elasticity by Fiber Tension

  • Object of our interest is an elastic body Ω ⊂ ℝ3 which we can deform by applying a tension along certain given short fibers inside the body. The deformation of the body is desribed by a hyperelastic model with polyconvex energy density and a special energy functional for the tension along the fibers. We seek to apply (possibly large) deformations to the body so that a desired shape is obtained. To this end, we formulate an optimal control problem for the fiber tension field.

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Metadaten
Author:Andreas Makowski, Roland Herzog
DOI:https://doi.org/10.1002/pamm.201410420
Parent Title (English):Proceedings in Applied Mathematics and Mechanics
Document Type:Article
Language:English
Year of publication:2014
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2023/10/02
Tag:partial differential equations, optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning
Volume:2014
Issue:14
First Page:879
Last Page:880
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
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