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Nonlinear elasticity of semiflexible filament network
2017-02-09     Text Size:  A

Institute of Theoretical Physics

Chinese Academy of Sciences

 Key Laboratory of Theoretical Physics

Seminar

Title

题目

Nonlinear elasticity of semiflexible filament network

Speaker

报告人

孟凡龙

Affiliation

所在单位

牛津大学物理系

Date

日期

2017年2月9日(下)午:15:00

Venue

地点

Conference Hall 322, ITP/理论物理所322报告厅

 

Abstract

摘要

We develop a continuum theory for equilibrium elasticity of a network of crosslinked semiflexible filaments, spanning the full range between flexible entropy-driven chains to stiff athermal rods. We choose the 3-chain constitutive model over several candidates, and derive analytical expressions for the elastic energy at arbitrary strain, with the corresponding stress-strain relationship. The theory fits well to a wide range of experimental data on simple shear in different filament networks, quantitatively matching the differential shear modulus variation with stress, with only two adjustable parameters (which represent the filament stiffness and pre-tension in the network, respectively). The general theory accurately describes the crossover between the positive and negative Poynting effect (normal stress on imposed shear) on increasing the stiffness of filaments forming the network.Moreover, it can be generalized to transient network where the crosslinks can be broken and reformed.

Contact Person

联系人

欧阳钟灿
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