Nonlocality of continuum approximation of microcracked materials

Zdenek P. Bazant*

*Corresponding author for this work

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


A continuum with nonlocal damage has recently been shown to be an effective approach for the analysis of strain-softening structures. The basic idea is that only the damage, normally caused by microcracking, is nonlocal, being a function of the averaged strain, while the strain and stress are local continuum properties. Physical justification by micromechanics, however, has been rather limited. In a recent study, it was suggested that the physical source of nonlocality of damage is the fact that the formation and growth of a microcrack depends on the strain energy stored in a nonzero volume of the material surrounding the microcrack, whose release drives the growth of the microcrack. This argument was developed only for a rather idealized, easily tractable case - a uniaxial stress field, a quasiperiodic array of small cracks arranged on a cubic lattice, and neglect of crack interactions. The present presentation shows an improved version of this arguments, as well as another argument that is based on interactions among microcracks.

Original languageEnglish (US)
Title of host publicationMechanics Computing in 1990's and Beyond
EditorsHojjat Adeli, Robert L. Sierakowski
PublisherPubl by ASCE
Number of pages3
ISBN (Print)0872628043
StatePublished - Jan 1 1991
EventASCE Engineering Mechanics Specialty Conference - Columbus, OH, USA
Duration: May 20 1991May 22 1991

Publication series

NameMechanics Computing in 1990's and Beyond


OtherASCE Engineering Mechanics Specialty Conference
CityColumbus, OH, USA

ASJC Scopus subject areas

  • Engineering(all)


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