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Literature DB >> 17025825

Floppy modes and nonaffine deformations in random fiber networks.

Abstract

We study the elasticity of random fiber networks. Starting from a microscopic picture of the nonaffine deformation fields, we calculate the macroscopic elastic moduli both in a scaling theory and a self-consistent effective medium theory. By relating nonaffinity to the low-energy excitations of the network ("floppy modes"), we achieve a detailed characterization of the nonaffine deformations present in fibrous networks.

Entities: Disease

Year: 2006 PMID： 17025825 DOI： 10.1103/PhysRevLett.97.105501

Source DB: PubMed Journal: Phys Rev Lett ISSN： 0031-9007 Impact factor: 9.161

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Cited

20 in total

1. Surface phonons, elastic response, and conformal invariance in twisted kagome lattices.

Authors: Kai Sun; Anton Souslov; Xiaoming Mao; T C Lubensky
Journal: Proc Natl Acad Sci U S A Date: 2012-06-25 Impact factor: 11.205

2. Stiffening of individual fibrin fibers equitably distributes strain and strengthens networks.

Authors: Nathan E Hudson; John R Houser; E Timothy O'Brien; Russell M Taylor; Richard Superfine; Susan T Lord; Michael R Falvo
Journal: Biophys J Date: 2010-04-21 Impact factor: 4.033

3. Force distributions and force chains in random stiff fiber networks.

Authors: C Heussinger; E Frey
Journal: Eur Phys J E Soft Matter Date: 2007-09-03 Impact factor: 1.890

4. Cytoskeletal polymer networks: viscoelastic properties are determined by the microscopic interaction potential of cross-links.

Authors: O Lieleg; K M Schmoller; M M A E Claessens; A R Bausch
Journal: Biophys J Date: 2009-06-03 Impact factor: 4.033

5. A single charge in the actin binding domain of fascin can independently tune the linear and non-linear response of an actin bundle network.

Authors: M Maier; K W Müller; C Heussinger; S Köhler; W A Wall; A R Bausch; O Lieleg
Journal: Eur Phys J E Soft Matter Date: 2015-05-27 Impact factor: 1.890

Floppy modes and nonaffine deformations in random fiber networks.

1. Surface phonons, elastic response, and conformal invariance in twisted kagome lattices.

2. Stiffening of individual fibrin fibers equitably distributes strain and strengthens networks.

3. Force distributions and force chains in random stiff fiber networks.

4. Cytoskeletal polymer networks: viscoelastic properties are determined by the microscopic interaction potential of cross-links.

5. A single charge in the actin binding domain of fascin can independently tune the linear and non-linear response of an actin bundle network.

6. Stress controls the mechanics of collagen networks.

7. Topological soft matter: Kagome lattices with a twist.

8. Structure-function relations and rigidity percolation in the shear properties of articular cartilage.

9. A microstructurally informed model for the mechanical response of three-dimensional actin networks.

10. Non-affine deformations in polymer hydrogels.