The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Brittle failure in compression: splitting faulting and brittle-ductile transition
Abstract
The micromechanics of brittle failure in compression and the transition from brittle to ductile failure, observed under increasing confining pressures, are examined in the light of existing experimental results and model studies. First, the micromechanics of axial splitting and faulting is briefly reviewed, certain mathematical models recently developed for analysing these failure modes are outlined, and some new, simple closed-form analytic solutions of crack growth in compression and some new quantitative model experimental results are presented. Then, a simple two-dimensional mathematical model is proposed for the analysis of the brittle—ductile transition process, the corresponding elasticity boundary-value problem is formulated in terms of singular integral equations, the solution method is given, and numerical results are obtained and their physical implications are discussed. In addition, a simple closed-form analytic solution is presented and, by comparing its results with those of the exact formulation, it is shown that the analytic estimates are reasonably accurate in the range of the brittle response of the material. Finally, the results of some laboratory model experiments are reported in an effort to support the mathematical models.
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Cites
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Dugdale, D. S. (1960) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(60)90013-2 · Cited by 7,766
Experimental Rock Deformation — The Brittle Field
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A note on brittle crack growth in compression
Brace, W. F., & Bombolakis, E. G. (1963) · Journal of Geophysical Research · doi:10.1029/jz068i012p03709 · Cited by 849
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Micromechanisms of flow and fracture, and their relevance to the rheology of the upper mantle
Ashby, M. F., & Verrall, R. A. (1978) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1978.0006 · Cited by 285
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Cited by
Strength of the lithosphere: Constraints imposed by laboratory experiments
Kohlstedt, D. L., Evans, B., & Mackwell, S. J. (1995) · Journal of Geophysical Research: Solid Earth · doi:10.1029/95jb01460 · Cited by 1,603
Indentation of Ceramics with Spheres: A Century after Hertz
Lawn, B. R. (1998) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1998.tb02580.x · Cited by 734
Modeling damage and deformation in impact simulations
Collins, G. S., Melosh, H. J., & Ivanov, B. A. (2004) · Meteoritics & Planetary Science · doi:10.1111/j.1945-5100.2004.tb00337.x · Cited by 452
Modelling progressive failure in fractured rock masses using a 3D discrete element method
Scholtès, L., & Donzé, F.-V. (2012) · International Journal of Rock Mechanics and Mining Sciences · doi:10.1016/j.ijrmms.2012.02.009 · Cited by 296
The brittle-ductile transition in rocks: Recent experimental and theoretical progress
Evans, B., Fredrich, J. T., & Wong, T.-F. (1990) · Geophysical Monograph Series · doi:10.1029/gm056p0001 · Cited by 259
Metadata
- Authors
- Horii, H., & Nemat-Nasser, S.
- Venue
- Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1986-09-16
- Volume
- 319
- Issue
- 1549
- Pages
- 337-374
- ISSN
- 0080-4614 (ISSN-L)
- 2054-0272
- OpenAlex
- W2011896412
- Cited by
- 787
- References
- 10
- FWCI
- 16.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Horii, H., & Nemat-Nasser, S. (1986). Brittle failure in compression: splitting faulting and brittle-ductile transition. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. https://doi.org/10.1098/rsta.1986.0101
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
