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Crack propagation in viscoelastic solids
Open accessAbstract
We study crack propagation in a viscoelastic solid. Using simple arguments, we derive equations for the velocity dependence of the crack-tip radius, $a(v)$, and for the energy per unit area to propagate the crack, $G(v)$. For a viscoelastic modulus $E(\ensuremath{\omega})$ which increases as ${\ensuremath{\omega}}^{1\ensuremath{-}s}$ $(0<s<1)$ in the transition region between the rubbery region and the glassy region, we find that $a(v)\ensuremath{\sim}G(v)\ensuremath{\sim}{v}^{\ensuremath{\alpha}}$ with $\ensuremath{\alpha}=(1\ensuremath{-}s)∕(2\ensuremath{-}s)$. The theory is in good agreement with experiment.
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Cites
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Sun, T. L., Kurokawa, T., Kuroda, S., Ihsan, A. B., Akasaki, T., Sato, K., Haque, M. A., Nakajima, T., & Gong, J. P. (2013) · Nature Materials · doi:10.1038/nmat3713 · Cited by 2,089
Fracture and adhesion of soft materials: a review
Creton, C., & Ciccotti, M. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/4/046601 · Cited by 915
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Persson, B. N. J. (2006) · Surface Science Reports · doi:10.1016/j.surfrep.2006.04.001 · Cited by 759
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Creton, C. (2017) · Macromolecules · doi:10.1021/acs.macromol.7b01698 · Cited by 463
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Metadata
- Authors
- Persson, B. N. J., & Brener, E. A.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-03-21
- Volume
- 71
- Issue
- 3
- Pages
- 036123-036123
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2070225587
- Cited by
- 317
- References
- 14
- FWCI
- 9.03
- Type
- journal article
- Language
- en
- Open access
- green
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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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