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The effect of cracks on the uniaxial elastic compression of rocks
Abstract
Uniaxial elastic compression of rocks is characterized by nonlinear stress-strain behavior and hysteresis. Both effects, which are due to cracks, are analyzed here. An isotropic solid filled with a low concentration of planar elliptical cracks is used as a model. Young's modulus for an elastic solid containing cracks is less than that for an identical solid without cracks. The cracks close under increasing compressive stress, causing an increase in modulus. However, even when applied stress is sufficient to close all cracks, the modulus may still not be equal to that of solid material, since frictional sliding at crack faces can occur. It is shown that cracks which have slid do not immediately slide in the opposite sense when the load is lowered; thus Young's modulus for the material without cracks can be found by measuring the initial slope of the unloading part of the stress-strain curve of a cracked material.
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Citations
Cites
The Elastic Behaviour of a Crystalline Aggregate
Hill, R. (1952) · Proceedings of the Physical Society. Section A · doi:10.1088/0370-1298/65/5/307 · Cited by 11,503
VI. The phenomena of rupture and flow in solids
Griffith, A. A. (1921) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1921.0006 · Cited by 11,052
A Treatise on the Mathematical Theory of Elasticity
M., G. B. (1906) · Nature · doi:10.1038/074074a0 · Cited by 2,935
The velocity of compressional waves in rocks to 10 kilobars: 2.
Birch, F. (1961) · Journal of Geophysical Research · doi:10.1029/jz066i007p02199 · Cited by 1,493
The Elastic Constants of a Solid containing Spherical Holes
Mackenzie, J. K. (1950) · Proceedings of the Physical Society. Section B · doi:10.1088/0370-1301/63/1/302 · Cited by 841
Brace, W. F. (1964) · Medical Entomology and Zoology · Cited by 302
Cited by
Hugoniot equation of state of twelve rocks
McQueen, R. G., Marsh, S. P., & Fritz, J. N. (1967) · Journal of Geophysical Research · doi:10.1029/jz072i020p04999 · Cited by 448
Metadata
- Authors
- Walsh, J. B.
- Venue
- Journal of Geophysical Research
- Publisher
- American Geophysical Union (AGU)
- Published
- 1965-01-15
- Volume
- 70
- Issue
- 2
- Pages
- 399-411
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2089956973
- Cited by
- 667
- References
- 6
- FWCI
- 22.42
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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