Fiber network mechanics

An example fiber network.
An example fiber network.

Fiber network mechanics is a subject within physics and mechanics that deals with the deformation of networks made by the connection of slender fibers.[1][2] Fiber networks are used to model the mechanics of fibrous materials such as biopolymer networks[3][4] and paper products.[5] Depending on the mechanical behavior of individual filaments, the networks may be composed of mechanical elements such as Hookean springs,[6] Euler-Bernoulli beams,[7] and worm-like chains.[8] The field of fiber network mechanics is closely related to the mechanical analysis of frame structures, granular materials, critical phenomena, and lattice dynamics.

References

  1. ^ Broedersz, C. P.; MacKintosh, F. C. (2014-07-24). "Modeling semiflexible polymer networks". Reviews of Modern Physics. 86 (3): 995–1036. arXiv:1404.4332. Bibcode:2014RvMP...86..995B. doi:10.1103/RevModPhys.86.995. S2CID 118523868.
  2. ^ Picu, R. C. (2011-07-19). "Mechanics of random fiber networks—a review". Soft Matter. 7 (15): 6768. Bibcode:2011SMat....7.6768P. doi:10.1039/c1sm05022b. ISSN 1744-6848.
  3. ^ Licup, Albert James; Münster, Stefan; Sharma, Abhinav; Sheinman, Michael; Jawerth, Louise M.; Fabry, Ben; Weitz, David A.; MacKintosh, Fred C. (2015-08-04). "Stress controls the mechanics of collagen networks". Proceedings of the National Academy of Sciences. 112 (31): 9573–9578. arXiv:1503.00924. Bibcode:2015PNAS..112.9573L. doi:10.1073/pnas.1504258112. ISSN 0027-8424. PMC 4534289. PMID 26195769.
  4. ^ Feng, Jingchen; Levine, Herbert; Mao, Xiaoming; Sander, Leonard M. (2016-01-27). "Nonlinear elasticity of disordered fiber networks". Soft Matter. 12 (5): 1419–1424. arXiv:1507.07519. Bibcode:2016SMat...12.1419F. doi:10.1039/c5sm01856k. ISSN 1744-6848. PMID 26616428. S2CID 40846621.
  5. ^ Bronkhorst, C. A. (2003-10-01). "Modelling paper as a two-dimensional elastic–plastic stochastic network". International Journal of Solids and Structures. 40 (20): 5441–5454. doi:10.1016/s0020-7683(03)00281-6.
  6. ^ Wyart, M.; Liang, H.; Kabla, A.; Mahadevan, L. (2008-11-19). "Elasticity of Floppy and Stiff Random Networks". Physical Review Letters. 101 (21): 215501. arXiv:0806.4571. Bibcode:2008PhRvL.101u5501W. doi:10.1103/PhysRevLett.101.215501. PMID 19113422. S2CID 4073149.
  7. ^ Ban, Ehsan; Barocas, Victor H.; Shephard, Mark S.; Picu, R. Catalin (2016-02-01). "Softening in random networks of non-identical beams". Journal of the Mechanics and Physics of Solids. 87: 38–50. Bibcode:2016JMPSo..87...38B. doi:10.1016/j.jmps.2015.11.001. PMC 4669583. PMID 26644629.
  8. ^ Heussinger, Claus; Bathe, Mark; Frey, Erwin (2007-07-25). "Statistical Mechanics of Semiflexible Bundles of Wormlike Polymer Chains". Physical Review Letters. 99 (4): 048101. arXiv:cond-mat/0702097. Bibcode:2007PhRvL..99d8101H. doi:10.1103/PhysRevLett.99.048101. PMID 17678408. S2CID 15414942.


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