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The paper reviews recent advances in computational modeling of localization and failure in solids. It examines cohesive‑zone models and gradient‑enriched continuum methods, their use for static and propagative instabilities, the identification of additional parameters, spatial resolution needs, and how imperfection patterns affect failure modes. © 2001 John Wiley & Sons, Ltd.

Abstract

Abstract An overview is given of some recent developments in computational modelling of localization and failure phenomena in solids. Cohesive‐zone models are considered as well as enrichment of continua using gradients in space and in time. The latter models are applied to static instabilities as well as to propagative instabilities. The determination of the additional parameters that emerge in gradient continua is treated and attention is paid to the spatial resolution that is necessary to properly capture bands of localized deformation. Finally, the impact is considered which imperfection patterns may have on the failure mode. Copyright © 2001 John Wiley & Sons, Ltd.

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