Comparison of various models for strain‐softening

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dc.contributor.author Pijaudier‐Cabot, Gilles
dc.contributor.author Bazant, Zdenek P.
dc.contributor.author Tabbara, Mazen
dc.date.accessioned 2016-02-10T09:53:10Z
dc.date.available 2016-02-10T09:53:10Z
dc.date.copyright 1988
dc.date.issued 2016-02-10
dc.identifier.issn 0264-4401 en_US
dc.identifier.uri http://hdl.handle.net/10725/3036
dc.description.abstract This paper presents a comparison of various models for strain‐softening due to damage such as cracking or void growth, as proposed recently in the literature. Continuum‐based models expressed in terms of softening stress—strain relations, and fracture‐type models expressed in terms of softening stress—displacement relations are distinguished. From one‐dimensional wave propagation calculations, it is shown that strain‐localization into regions of finite size cannot be achieved. The previously well‐documented spurious convergence is obtained with continuum models, while stress—displacement relations cannot model well smeared‐crack situations. Continuum models may, however, be used in general if a localization limiter is implemented. Gradient‐type localization limiters appear to be rather complicated; they require solving higher‐order differential equations of equilibrium with additional bourdary conditions. Non‐local localization limiters, especially the non‐local continuum with local strain, in which only the energy dissipating variables are non‐local, is found to be very effective, and also seems to be physically realistic. This formulation can correctly model the transition between homogeneous damage states and situations in which damage localizes into small regions that can be viewed as cracks. The size effect observed in the experimental and numerical response of specimens in tension or compression is shown to be a consequence of this progressive transition from continuum‐type to fracture‐type formulations. en_US
dc.language.iso en en_US
dc.title Comparison of various models for strain‐softening en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOE en_US
dc.author.idnumber 199890270 en_US
dc.author.woa N/A en_US
dc.author.department Civil Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal Engineering Computations en_US
dc.journal.volume 5 en_US
dc.journal.issue 2 en_US
dc.article.pages 141-150 en_US
dc.identifier.doi http://dx.doi.org/10.1108/eb023732 en_US
dc.identifier.ctation Pijaudier-Cabot, G., Bazant, Z. P., & Tabbara, M. (1988). Comparison of various models for strain-softening. Engineering computations, 5(2), 141-150. en_US
dc.author.email mtabbara@lau.edu.lb
dc.identifier.url http://www.emeraldinsight.com/doi/abs/10.1108/eb023732

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