Imbricate continuum and progressive fracturing of concrete and geomaterials

Zdenek P Bazant*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


After giving an overview of the recent results at Northwestern University on mathematical models for fracturing heterogeneous materials, the lecture addresses the problem of a continuum model for strain-softening. In a classical, local continuum, strain-softening leads to unrealistic unstable response, such that failure localizes into a layer of vanishing thickness and occurs at vanishing energy dissipation. While the classical nonlocal continuum does not resolve the problem, solution is found in the form of a new type of nonlocal continuum, called the imbricate continuum, which represents the limiting case of a system of overlapping (imbricated) finite elements of a certain fixed characteristic size that is a material property.

Original languageEnglish (US)
Pages (from-to)86-93
Number of pages8
Issue number1 Supplement
StatePublished - Mar 1 1984

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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