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Polymers 2017, 9(2), 52; doi:10.3390/polym9020052

Theory of Semiflexible Filaments and Networks

1
Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, UK
2
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Martin Kröger
Received: 31 December 2016 / Revised: 25 January 2017 / Accepted: 26 January 2017 / Published: 5 February 2017
(This article belongs to the Special Issue Semiflexible Polymers)
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Abstract

We briefly review the recent developments in the theory of individual semiflexible filaments, and of a crosslinked network of such filaments, both permanent and transient. Starting from the free energy of an individual semiflexible chain, models on its force-extension relation and other mechanical properties such as Euler buckling are discussed. For a permanently crosslinked network of filaments, theories on how the network responds to deformation are provided, with a focus on continuum approaches. Characteristic features of filament networks, such as nonlinear stress-strain relation, negative normal stress, tensegrity, and marginal stability are discussed. In the new area of transient filament network, where the crosslinks can be dynamically broken and re-formed, we show some recent attempts for understanding the dynamics of the crosslinks, and the related rheological properties, such as stress relaxation, yield stress and plasticity. View Full-Text
Keywords: theory; semiflexible chain; semiflexible filament network; transient network theory; semiflexible chain; semiflexible filament network; transient network
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Meng, F.; Terentjev, E.M. Theory of Semiflexible Filaments and Networks. Polymers 2017, 9, 52.

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