Adaptive selective ES-FEM limit analysis of cracked plane-strain structures

H. Nguyen-Xuan, T. Rabczuk

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper presents a simple and efficient approach for predicting the plastic limit loads in cracked planestrain structures.We use two levels of mesh repartitioning for the finite element limit analysis. The master level handles an adaptive primal-mesh process through a dissipation-based indicator. The slave level performs the subdivision of each triangle into three sub-triangles and constitutes a dual mesh from a pair of two adjacent sub-triangles shared by common edges of the primal mesh. Applying a strain smoothing projection to the strain rates on the dual mesh, the incompressibility constraint and the flow rule constraint are imposed over the edge-based smoothing domains and everywhere in the problem domain. The limit analysis problem is recast into the compact form of a second-order cone programming (SOCP) for the purpose of exploiting interior-point solvers. The present method retains a low number of optimization variables. It offers a convenient way for designing and solving the large-scale optimization problems effectively. Several benchmark examples are given to show the simplicity and effectiveness of the present method.

    Original languageEnglish
    Pages (from-to)478-490
    Number of pages13
    JournalJournal of Contemporary Physics
    Volume50
    Issue number4
    DOIs
    Publication statusPublished - 2015 Oct 1

    Bibliographical note

    Publisher Copyright:
    © 2015, Higher Education Press and Springer-Verlag Berlin Heidelberg.

    Keywords

    • adaptive
    • cracked structure
    • edge-based strain smoothing
    • limit analysis
    • second-order cone programming
    • von Mises criterion

    ASJC Scopus subject areas

    • General Physics and Astronomy

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