On the implementation and effectiveness of morphological close-open and open-close filters for topology optimization

Mattias Schevenels, Ole Sigmund

    Research output: Contribution to journalJournal articleResearchpeer-review

    493 Downloads (Pure)

    Abstract

    This note reconsiders the morphological close-open and open-close filters for topology optimization introduced in an earlier paper (Sigmund Struct Multidiscip Optim 33(4–5):401–424 (2007)). Close-open and open-close filters are defined as the sequential application of four dilation or erosion filters. In the original paper, these filters were proposed in order to provide length scale control in both the solid and the void phase. However, it was concluded that the filters were not useful in practice due to the computational cost of the sensitivity analysis. In this note, it is shown that the computational cost is much lower if the sensitivity analysis for each erosion or dilation step is performed sequentially. Unfortunately, it is also found that the close-open and open-close filters do not have the expected effect in terms of length scale control: each close or open operation ruins the effect of the preceding filters, resulting in a design with a minimum length scale in either the solid phase or the void phase, but not both.
    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Volume54
    Issue number1
    Pages (from-to)15–21
    ISSN1615-147X
    DOIs
    Publication statusPublished - 2016

    Keywords

    • Topology optimization
    • Morphological filters
    • Length scale control
    • Sensitivity analysis

    Fingerprint

    Dive into the research topics of 'On the implementation and effectiveness of morphological close-open and open-close filters for topology optimization'. Together they form a unique fingerprint.

    Cite this