Hybrid-Trefftz finite elements for biphasic elastostatics

I. D. Moldovan*, T. D. Cao, J. A. Teixeira de Freitas

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    This paper reports on the formulation and implementation of the displacement and stress models of the hybrid-Trefftz finite elements for elastostatic problems defined on saturated porous media. The supporting mathematical model is the (u-w) formulation of the Biot theory of porous media. The hybrid-Trefftz models are derived from the corresponding (pure) hybrid models by selecting the domain trial functions from the free-field solutions of the governing Navier equation. The resulting elements are highly robust and convergent, as they embody the physical characteristics of the modelled problem. Moreover, all coefficients present in the solving system are defined by boundary integral expressions.
    Original languageEnglish
    Pages (from-to)68-82
    Number of pages15
    JournalFinite Elements in Analysis and Design
    Volume66
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Biphasic medium
    • Elastostatic problems
    • Hybrid finite elements
    • Hybrid-Trefftz finite elements

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