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A mechanism for the control of crack propagation in all-brittle systems
Abstract
The stress distribution close to the tip of a crack which has a finite tip radius and which is being opened either by means of a remotely applied tension field σy, 0 or by means of a concentrated force (e. g. a wedge driven into the crack) has been computed. It is shown that there exist tensile stresses (σx) parallel to the plane of the crack and ahead of the crack tip. The maximum value of the tension σx is an approximately constant fraction (~ 1/5) of the peak stress concentration σy, max. which usually causes crack propagation. Inside a brittle solid, if a plane of weakness or potential cleavage is present and is roughly normal to the plane of the original crack, this interface may break and produce a secondary crack in such a manner as to interfere with the progress of the primary crack. If the ratio of the adhesive strength of the interface to the general cohesive strength of the solid is in the right range large increases in the strength and toughness of otherwise brittle solids may result.
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Cites
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
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Wang, B., Yang, W., McKittrick, J., & Meyers, M. A. (2016) · Progress in Materials Science · doi:10.1016/j.pmatsci.2015.06.001 · Cited by 873
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Metadata
- Authors
- Cook, J., & Gordon, J. E.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1964-12-08
- Volume
- 282
- Issue
- 1391
- Pages
- 508-520
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1998699977
- Cited by
- 779
- References
- 1
- FWCI
- 3.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cook, J., & Gordon, J. E. (1964). A mechanism for the control of crack propagation in all-brittle systems. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1964.0248
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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.
