Effective moduli of microcracked rocks: Theories and experiments

Kam Tim Chau, Robina H.C. Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

14 Citations (Scopus)


This paper compares and contrasts the predicted effective moduli by the self-consistent and noninteracting methods and examines the range of validity for both models; predictions by these two models are compared to experimental observations on natural rocks containing microcracks and artificial rocks containing inserted microcracks. Crack density (∈) in real rocks is obtained by counting cracks under microscope and those in replicated rocks is, of course, predetermined; these crack densities are then compared to the crack densities interpreted from the changes in ultrasonic wave speeds, using either self-consistent model or noninteracting crack model. For natural rocks, the noninteracting prediction seems to agree better with experiments than the self-consistent method for ∈ ≤ 0.2, but both theoretical predictions deviate from experimental observation for ∈ > 0.2. For replicated rocks, both theories give prediction comparable to experiments for ∈ ≤ 0.2, but underestimate the actual value for ∈ > 0.2. Therefore, a better damage model is needed for solids with crack density larger than 0.2.
Original languageEnglish
Pages (from-to)258-277
Number of pages20
JournalInternational Journal of Damage Mechanics
Issue number3
Publication statusPublished - 1 Jan 1997


  • Crack density
  • Microcrack model
  • Microscope observation
  • Noninteracting method
  • Rocks
  • Self-consistent method

ASJC Scopus subject areas

  • Computational Mechanics
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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