Detection of material interfaces using a regularized level set method in piezoelectric structures

S. S. Nanthakumar, T. Lahmer, X. Zhuang, Goangseup Zi, Timon Rabczuk

    Research output: Contribution to journalArticlepeer-review

    223 Citations (Scopus)

    Abstract

    An algorithm to solve the inverse problem of detecting inclusion interfaces in a piezoelectric structure is proposed. The material interfaces are implicitly represented by level sets which are identified by applying regularization using total variation penalty terms. The inverse problem is solved iteratively and the extended finite element method is used for the analysis of the structure in each iteration. The formulation is presented for three-dimensional structures and inclusions made of different materials are detected by using multiple level sets. The results obtained prove that the iterative procedure proposed can determine the location and approximate shape of material sub-domains in the presence of higher noise levels.

    Original languageEnglish
    Pages (from-to)153-176
    Number of pages24
    JournalInverse Problems in Science and Engineering
    Volume24
    Issue number1
    DOIs
    Publication statusPublished - 2016 Jan 2

    Bibliographical note

    Publisher Copyright:
    © 2015 Taylor & Francis.

    Keywords

    • Piezoelectric ceramics
    • XFEM
    • inverse problem
    • level set method

    ASJC Scopus subject areas

    • General Engineering
    • Computer Science Applications
    • Applied Mathematics

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