Multifractal fracture-toughness properties of brittle heterogeneous materials

Mark J. Meisner, George N. Frantziskonis

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


This paper documents a study of novel fracture-toughness properties of brittle heterogeneous materials. Through simulations of the rupture process based on a lattice discretization of the material, the spatial variation of dissipated energy due to fracture is evaluated. Under certain conditions, its distribution is characterized by a multifractal spectrum f (α). Importantly, f (α) depends not only on the initial heterogeneity present in the material but also on the nature of the externally applied load. This provides a renewed load-path-dependent definition of fracture toughness material properties. It avoids the difficulties associated with 'traditional' continuum/fracture mechanics definitions where the macroscopic fracture mode must be known a priori.

Original languageEnglish (US)
Pages (from-to)2657-2670
Number of pages14
JournalJournal of Physics A: Mathematical and General
Issue number11
StatePublished - 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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