Bounds on the effective moduli of cracked materials

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


We find bounds on the effective elastic moduli of cracked materials in terms of the effective conductivity of such media. These represent the first non-trivial bounds on the effective properties of cracked media which are independent of the shapes and spatial distribution of the cracks. Different approximations for the elastic moduli of cracked media are tested against our bounds. The microgeometries of cracks that satisfy the bounds exactly are identified.

Original languageEnglish (US)
Pages (from-to)233-242
Number of pages10
JournalJournal of the Mechanics and Physics of Solids
Issue number2
StatePublished - Feb 1996

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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