Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach

Kun Saptohartyadi Marhadi, Anton Evgrafov, Mads Peter Sørensen

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    We demonstrate the use of a C0 discontinuous Galerkin method for topology optimization of nano-mechanical sensors, namely temperature, surface stress, and mass sensors. The sensors are modeled using classical thin plate theory, which requires C1 basis functions in the standard finite element method. A discontinuous Galerkin type approach allows the use of C0 basis functions or any common basis functions, e.g. based on Lagrange elements. Thus the implementation is simple and requires fewer degrees of freedom per element compared to common finite element implementation of plate problems.
    Original languageEnglish
    Title of host publicationProceedings of the 9th World Congress on Structural and Multidisciplinary Optimization
    Publication date2011
    Publication statusPublished - 2011
    Event9th World Congress on Structural and Multidisciplinary Optimization - Shizuoka, Japan
    Duration: 13 Jun 201117 Jun 2011
    Conference number: 9

    Conference

    Conference9th World Congress on Structural and Multidisciplinary Optimization
    Number9
    Country/TerritoryJapan
    CityShizuoka
    Period13/06/201117/06/2011

    Keywords

    • Thin plates
    • Topology optimization
    • Nano-mechanical sensors
    • Discontinuous Galerkin method

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