Fiber network mechanics explained

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.

Notes and References

  1. Broedersz. C. P.. MacKintosh. F. C.. 2014-07-24. Modeling semiflexible polymer networks. Reviews of Modern Physics. 86. 3. 995–1036. 10.1103/RevModPhys.86.995. 1404.4332. 2014RvMP...86..995B. 118523868.
  2. Picu. R. C.. 2011-07-19. Mechanics of random fiber networks—a review. Soft Matter. en. 7. 15. 6768. 10.1039/c1sm05022b. 1744-6848. 2011SMat....7.6768P.
  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. en. 112. 31. 9573–9578. 10.1073/pnas.1504258112. 0027-8424. 4534289. 26195769. 1503.00924. 2015PNAS..112.9573L. free.
  4. Feng. Jingchen. Levine. Herbert. Mao. Xiaoming. Sander. Leonard M.. 2016-01-27. Nonlinear elasticity of disordered fiber networks. Soft Matter. en. 12. 5. 1419–1424. 10.1039/c5sm01856k. 26616428. 1744-6848. 1507.07519. 2016SMat...12.1419F. 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. 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. 10.1103/PhysRevLett.101.215501. 19113422. 0806.4571. 2008PhRvL.101u5501W. 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. 10.1016/j.jmps.2015.11.001. 4669583. 26644629. 2016JMPSo..87...38B.
  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. 10.1103/PhysRevLett.99.048101. 17678408. 2007PhRvL..99d8101H. cond-mat/0702097. 15414942.

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