Inverse homogenization using isogeometric shape optimization

Julian K. Lüdeker*, Ole Sigmund, Benedikt Kriegesmann

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

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    Finding periodic microstructures with optimal elastic properties is usually tackled by a highly resolved, regular finite element model and solid isotropic material penalization. This procedure not only has many advantages, but also requires a comparably high computational effort and challenges in representing stresses accurately. Therefore, an isogeometric shape optimization approach is applied to the inverse homogenization problem and combined with a reconstruction procedure for nearly optimal rank-3 laminates, which provides an efficient solution strategy with more accurate stress modelling. This allows to investigate the sensitivity of optimized microstructures in terms of stress concentrations.
    Original languageEnglish
    Article number113170
    JournalComputer Methods in Applied Mechanics and Engineering
    Number of pages16
    Publication statusPublished - 2020


    • Inverse homogenization
    • Shape optimization
    • Isogeometric analysis
    • Optimal microstructures


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