The influence of disorder on deformations in semiflexible networks

JR Blundell, EM Terentjev - Proceedings of the Royal …, 2011 - royalsocietypublishing.org
We present a model that assesses the different elastic responses of a semiflexible network,
which either (i) is constrained to deform in an affine way or (ii) is permitted to thermally …

Affine model of stress stiffening in semiflexible filament networks

JR Blundell, EM Terentjev - arXiv preprint arXiv:0808.4088, 2008 - arxiv.org
We present a revised theoretical study of the affine assumption applied to semiflexible
networks. Drawing on simple models of semiflexible worm-like chains we derive an …

Elastic response of filamentous networks with compliant crosslinks

A Sharma, M Sheinman, KM Heidemann… - Physical Review E …, 2013 - APS
Experiments have shown that elasticity of disordered filamentous networks with compliant
crosslinks is very different from networks with rigid crosslinks. Here, we model and analyze …

Effective medium theory of semiflexible filamentous networks

M Das, FC MacKintosh, AJ Levine - Physical review letters, 2007 - APS
We develop an effective medium approach to the mechanics of disordered, semiflexible
polymer networks and study the response of such networks to uniform and nonuniform …

Elasticity of 3D networks with rigid filaments and compliant crosslinks

KM Heidemann, A Sharma, F Rehfeldt, CF Schmidt… - Soft matter, 2015 - pubs.rsc.org
Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear
modulus at small strains, but stiffen dramatically at high strains. Experiments have shown …

Role of architecture in the elastic response of semiflexible polymer and fiber networks

C Heussinger, E Frey - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We study the elasticity of cross-linked networks of thermally fluctuating stiff polymers. As
compared to their purely mechanical counterparts, it is shown that these thermal networks …

Nonaffine rubber elasticity for stiff polymer networks

C Heussinger, B Schaefer, E Frey - … Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers,
unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical …

Elasticity of rigidly cross-linked networks of athermal filaments

G Zagar, PR Onck, E Van der Giessen - Macromolecules, 2011 - ACS Publications
Actin filaments assemble into network-like structures and play an important role in various
cellular mechanical processes. It is known that the response of actin networks cross-linked …

Deformation of crosslinked semiflexible polymer networks

DA Head, AJ Levine, FC MacKintosh - AIP Conference Proceedings, 2004 - pubs.aip.org
Motivated by the cellular cytoskeleton, we investigate the mechanical properties of networks
of crosslinked semiflexible polymers in two dimensions and at zero temperature. A novel …

Nonlinear Poisson effect in affine semiflexible polymer networks

JL Shivers, FC MacKintosh - Physical Review E, 2024 - APS
Stretching an elastic material along one axis typically induces contraction along the
transverse axes, a phenomenon known as the Poisson effect. From these strains, one can …