Theoretical aspects of the internal element connectivity parameterization approach for topology optimization

Gil Ho Yoon, Y.Y. Kim, M. Langelaar, F. van Keulen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The internal element connectivity parameterization (I-ECP) method is an alternative approach to overcome numerical instabilities associated with low-stiffness element states in non-linear problems. In I-ECP, elements are connected by zero-length links while their link stiffness values are varied. Therefore, it is important to interpolate link stiffness properly to obtain stably converging results. The main objective of this work is two-fold (1) the investigation of the relationship between the link stiffness and the stiffness of a domain-discretizing patch by using a discrete model and a homogenized model and (2) the suggestion of link stiffness interpolation functions. The effects of link stiffness penalization on solution convergence are then tested with several numerical examples. The developed homogenized I-ECP model can also be used to physically interpret an intermediate design variable state.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume76
    Issue number6
    Pages (from-to)775-797
    ISSN0029-5981
    DOIs
    Publication statusPublished - 2008

    Keywords

    • zero-length link
    • element connectivity parameterization
    • topology optimization
    • homogenization

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