| Issue | ESAIM: COCV Volume 25, 2019 | |
|---|---|---|
| Article Number | 11 | |
| Number of page(s) | 19 | |
| DOI | https://doi.org/10.1051/cocv/2017081 | |
| Published online | 30 April 2019 | |
Material optimization for nonlinearly elastic planar beams
1 FB Mathematik, TU Dresden, 01062 Dresden, Germany.
2 Institut für Numerische Simulation, Universität Bonn, 53115 Bonn, Germany.
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 22 December 2016
Accepted: 12 December 2017
Abstract
We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under constant vertical load the optimal distribution involves no microstructure and is ordered, and we provide numerical simulations confirming and extending this observation.
Mathematics Subject Classification: 49K15 / 49Q10 / 74P05 / 74S05
Key words: Shape optimization / nonlinear elasticity / phase-field model
© EDP Sciences, SMAI 2019
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