Some observations on localization in non-local and gradient damage models

R.H.J. Peerlings, R. Borst, W.A.M. Brekelmans, J.H.P. Vree, I. Spee

    Research output: Contribution to journalArticleAcademicpeer-review

    169 Citations (Scopus)


    Classical continuum descriptions of material degradation may cease to be mathematically meaningful in case of softening-induced localization of deformation. Several enhancements of conventional models have been proposed to remove this deficiency. The properties of two of these so-called regularization methods, the non-local and the gradient approach, are examined and compared in a continuum damage context. It is shown that the enhanced models allow for the propagation of waves in the softening zone, in contrast to conventional damage models. For both types of enhancement wave propagation becomes dispersive. The behaviour under quasi-static loading conditions is studied numerically. Finite element simulations of a one-dimensional problem yield quite similar results.

    Original languageEnglish
    Pages (from-to)937-953
    Number of pages17
    JournalEuropean Journal of Mechanics. A, Solids
    Issue number6
    Publication statusPublished - 1 Dec 1996


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