The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Revisiting brittle fracture as an energy minimization problem
Open accessAbstract
Abstract A variational model of quasistatic crack evolution is proposed. Although close in spirit to Griffith’s theory of brittle fracture, the proposed model however frees itself of the usual constraints of that theory : a preexisting crack and a well-defined crack path. In contrast, crack initiation as well as crack path can be quantified, as demonstrated on explicitly computable examples. Furthermore the model lends itself to numerical implementation in more complex settings.
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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
Cited by
Carrara, P., Ambati, M., Alessi, R., & De Lorenzis, L. (2020) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2019.112731 · Cited by 404
Nguyen, T. T., Yvonnet, J., Zhu, Q.-Z., Bornert, M., & Chateau, C. (2016) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2015.10.007 · Cited by 359
Hofacker, M., & Miehe, C. (2013) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.4387 · Cited by 306
Metadata
- Authors
- Francfort, G. A., & Marigo, J.-J.
- Venue
- Journal of the Mechanics and Physics of Solids
- Publisher
- Elsevier BV
- Published
- 1998-08
- Volume
- 46
- Issue
- 8
- Pages
- 1319-1342
- ISSN
- 0022-5096 (ISSN-L)
- OpenAlex
- W2043784721
- Cited by
- 3,530
- References
- 1
- FWCI
- 8.39
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Revisiting brittle fracture as an energy minimization problem. https://app.cochat.ai/papers/10.1016/s0022-5096(98)00034-9
- The paper
- Francfort, G. A., & Marigo, J.-J. (1998). Revisiting brittle fracture as an energy minimization problem. Journal of the Mechanics and Physics of Solids. https://doi.org/10.1016/s0022-5096(98)00034-9
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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.
