Optimal synthesis of tunable elastic wave-guides

Anton Evgrafov, Cory J. Rupp, Martin L. Dunn, Kurt Maute

    Research output: Contribution to journalJournal articleResearchpeer-review


    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 languageEnglish
    JournalComputer Methods in Applied Mechanics and Engineering
    Issue number2
    Pages (from-to)292-301
    Publication statusPublished - 2008


    • Optimal design
    • Topology optimization
    • Elastic wave-guides
    • Tunable wave-guides


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