Multifractal fracture-toughness properties of brittle heterogeneous materials

Mark J. Meisner, George N Frantziskonis

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume29
Issue number11
DOIs
StatePublished - 1996

Fingerprint

Heterogeneous Materials
brittle materials
Brittle Materials
Fracture Toughness
fracture strength
Fracture toughness
Multifractal Spectrum
continuum mechanics
fracture mechanics
Continuum Mechanics
Fracture Mechanics
Rupture
Material Properties
Continuum mechanics
Discretization
Fracture mechanics
Path
Dependent
Materials properties
Energy

ASJC Scopus subject areas

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

Cite this

Multifractal fracture-toughness properties of brittle heterogeneous materials. / Meisner, Mark J.; Frantziskonis, George N.

In: Journal of Physics A: Mathematical and General, Vol. 29, No. 11, 1996, p. 2657-2670.

Research output: Contribution to journalArticle

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