Abstract
Topology optimization, or control in the coefficients of partial differential equations, has been successfully utilized for designing wave-guides with precisely tailored functionalities. For many applications it would be desirable to have the possibility of drastically altering the wave-guiding properties of a device “on the fly,” in a controllable manner as an influence of some external input. This would enable wave-guides with highly non-linear input–output mappings, such as for example controllable wave switches.
In this paper, we propose using finite elastic pre-straining for the purpose of tuning a wave-guide. In order to systematically formulate and solve the wave-guide synthesis problems we utilize mathematical programming methods in conjunction with topology optimization for parametrizing the design space. The resulting extremal problem is, from a practical point, equivalent to finding an optimal subdivision of a given control volume into two disjoint subsets occupied by two different materials, normally resulting in a highly heterogeneous elastic body with desired wave-guiding functionalities in the original and finitely deformed configurations.
The proposed methodology is illustrated with numerical examples.
Original language | English |
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Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 198 |
Issue number | 2 |
Pages (from-to) | 292-301 |
ISSN | 0045-7825 |
DOIs | |
Publication status | Published - 2008 |
Keywords
- Optimal design
- Topology optimization
- Elastic wave-guides
- Tunable wave-guides