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| Nonlinear elasticity of semiflexible filament network |
| 2017-02-09
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Institute of Theoretical Physics |
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Chinese Academy of Sciences |
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Key Laboratory of Theoretical Physics |
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Seminar |
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Title
题目 |
Nonlinear elasticity of semiflexible filament network |
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Speaker
报告人 |
孟凡龙 |
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Affiliation
所在单位 |
牛津大学物理系 |
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Date
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2017年2月9日（下）午：15：00 |
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Venue
地点 |
Conference Hall 322, ITP/理论物理所322报告厅
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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. |
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Contact Person
联系人 |
欧阳钟灿 |
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