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Elastic Properties of Random Percolating Systems
Abstract
We study the macroscopic elastic moduli of an elastic percolating network in the critical region. A microscopic elastic Hamiltonian is used, which contains a bending energy term. We find that the rigidity threshold of this system is identical to the percolation threshold ${p}_{c}$. By considering the elastic properties of elements of the infinite percolation cluster we calculate the critical exponent $\ensuremath{\tau}$ which describes the behavior of the elastic stiffness near ${p}_{c}$ for $d=6$ and obtain a lower bound on $\ensuremath{\tau}$ for $d<6$. $\ensuremath{\tau}$ is considerably higher than the conductivity exponent $t$, suggesting that the elastic problem belongs to a different universality class.
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Citations
Cited by
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Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
Castellanos, A. (2005) · Advances in Physics · doi:10.1080/17461390500402657 · Cited by 555
Scaling of the Viscoelasticity of Weakly Attractive Particles
Trappe, V., & Weitz, D. A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.449 · Cited by 384
Mechanical Properties and Brittle Behavior of Silica Aerogels
Woignier, T., Primera, J., Alaoui, A., Etienne, P., Despestis, F., & Calas-Etienne, S. (2015) · Gels · doi:10.3390/gels1020256 · Cited by 117
Le, H. H., Kolesov, I., Ali, Z., Uthardt, M., Osazuwa, O., Ilisch, S., & Radusch, H.-J. (2010) · Journal of Materials Science · doi:10.1007/s10853-010-4661-7 · Cited by 37
Metadata
- Authors
- Kantor, Y., & Webman, I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-05-21
- Volume
- 52
- Issue
- 21
- Pages
- 1891-1894
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2046733914
- Cited by
- 624
- References
- 0
- FWCI
- 19.00
- Type
- journal article
- Language
- en
- Open access
- closed
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