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.
Author: | Andreas Makowski, Roland Herzog |
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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 |