Abstract
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 language | English |
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Pages (from-to) | 258-277 |
Number of pages | 20 |
Journal | International Journal of Damage Mechanics |
Volume | 6 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 1997 |
Keywords
- 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