Localization instabilty for softening in ellipsoidal regions and bands

Zdenek P Bazant*, F. B. Lin

*Corresponding author for this work

Research output: Contribution to journalArticle


The paper deals with strain-localization instabilities due to strain-softening which result from distributed damage such as cracking. The continuum is local but is enhanced by a localization limiter consisting of a lower bound on the minimum dimension of the strain-localization region, which is regarded as a material property. The material is described by Drucker-Prager plasticity with strain-softening that is caused by yield limit degradation. A numerical parameter study of the critical states is made for a broad range of material properties as well as various initial stress states and relative sizes of the strain-softening region. The flatter the ellipsoidal domain, or the larger the size of the body (layer thickness), the smaller is found to be the strain-softening slope magnitude at which the critical state is reached. A softening Drucker-Prager material is found to be stable even for planar-band localizations in infinite continuum for a certain range of softening material parameters.

Original languageEnglish (US)
Pages (from-to)7-16
Number of pages10
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Dec 1 1988

ASJC Scopus subject areas

  • Mechanical Engineering

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