Bifurcation in the numerical simulation of softening mechanisms

O. J. Gastebled, I. M. May

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    Non-linear simulation of strain-softening materials is often impeded by the presence of singular points encountered along the equilibrium path. Available numerical techniques aimed at the treatment of singular points are presented. Emphasis is placed on bifurcation analysis. Two numerical examples of structural bifurcation are presented. In the first example, a direct tension test on a notched concrete bar is simulated, displaying a symmetric bifurcation. In the second example, a direct tension test on a tapered concrete bar is simulated, displaying a non-symmetric bifurcation. The bifurcation analysis techniques introduced are shown to be effective. The need for systematic bifurcation analysis in the non-linear simulation of strain-softening materials is concluded.

    Original languageEnglish
    Pages (from-to)745-755
    Number of pages11
    JournalComputers and Structures
    Volume78
    Issue number6
    DOIs
    Publication statusPublished - Dec 2000

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