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Title: Effective moduli of microcracked rocks : theories and experiments
Authors: Chau, KT 
Wong, RHC
Keywords: Crack density
Microcrack model
Microscope observation
Noninteracting method
Self-consistent method
Issue Date: 1997
Publisher: SAGE Publications
Source: International journal of damage mechanics, 1997, v. 6, no. 3, p. 258-277 How to cite?
Journal: International journal of damage mechanics 
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.
ISSN: 1056-7895
EISSN: 1530-7921
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