The origin of stiffening in cross-linked semiflexible networks

Abstract

Strain stiffening of protein networks is explored by means of a finite strain analysis of a two-dimensional network model of cross-linked semiflexible filaments. The results show that stiffening is caused by non-affine network rearrangements that govern a transition from a bending dominated response at small strains to a stretching dominated response at large strains. Thermally-induced filament undulations only have a minor effect; they merely postpone the transition.

5 pages, 5 figures

References in corpus (5)

• Nonlinear Elasticity in Biological Gels
• Elasticity of Semiflexible Biopolymer Networks
• Elasticity of Stiff Polymer Networks
• Deformation of crosslinked semiflexible polymer networks
• Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks

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