Localization limiting properties of nonlocal damage models

Gilles Pijaudier-Cabot*, Zdenek P. Bazant, Ahmed Benallal

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


Nonlocal integral models have been proposed in order to cope with the difficulties encountered in the description of localization in strain softening solids. From a numerical viewpoint, constitutive relations of this type yield mesh-independent finite element analyses, failure with a non-zero energy dissipation and size effects that are consistent with experimental data. Nevertheless, theoretical proofs that initial or boundary value problems are well-posed for such a strain-softening continuum are still lacking. This paper aims at reporting several recent results on this problem. In statics, the localization modes are found to be controlled by the spatial averaging operator which defines the damage variable. In dynamics, wave propagation is dispersive. Waves with a sufficiently small wavelength can propagate even in the softening regime. Therefore, the wave equation does not necessarily loose hyperbolicity.

Original languageEnglish (US)
Title of host publicationDamage Mechanics and Localization
PublisherPubl by ASME
Number of pages10
ISBN (Print)0791810860
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992


OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA

ASJC Scopus subject areas

  • Mechanical Engineering

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