Strain-dependent twist–stretch elasticity in chiral filaments
Strain-dependent twist–stretch elasticity in chiral filaments
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DOI：
10.1098/rsif.2007.1145
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发表时间：
2007-09
影响因子：
3.9
通讯作者：
M. Upmanyu;H. Wang;H. Liang;R. Mahajan
中科院分区：
文献类型：
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作者：
M. Upmanyu;H. Wang;H. Liang;R. Mahajan
轴向和扭转自由度之间的耦合经常修改天然和合成的丝状聚集体的构象和表达。最近对手性单壁碳纳米管和B-DNA的研究揭示了在大应变下扭转-拉伸耦合的符号反转。在这两个不同的超分子组件和高应变的响应的相似性表明一个基本的，手性依赖的非线性弹性行为。在这里，我们寻求的非线性和有效的扭曲拉伸耦合使用基于能量的理论框架和模型模拟的微观起源之间的联系。我们的分析揭示了一个敏感的变形能量和耦合的符号之间的相互作用，突出了强大的设计原则，确定这些耦合的符号和程度。这些设计原理已经被自然界利用来动态地设计这种耦合，并且在生物学和技术中的机械耦合致动、推进和运输中具有广泛的影响。
Coupling between axial and torsional degrees of freedom often modifies the conformation and expression of natural and synthetic filamentous aggregates. Recent studies on chiral single-walled carbon nanotubes and B-DNA reveal a reversal in the sign of the twist–stretch coupling at large strains. The similarity in the response in these two distinct supramolecular assemblies and at high strains suggests a fundamental, chirality-dependent nonlinear elastic behaviour. Here we seek the link between the microscopic origin of the nonlinearities and the effective twist–stretch coupling using energy-based theoretical frameworks and model simulations. Our analysis reveals a sensitive interplay between the deformation energetics and the sign of the coupling, highlighting robust design principles that determine both the sign and extent of these couplings. These design principles have already been exploited by nature to dynamically engineer such couplings, and have broad implications in mechanically coupled actuation, propulsion and transport in biology and technology.