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Abstract: Coupling between axial and torsional degrees of freedom often modifies theconformation and expression of natural and synthetic filamentous aggregates.Recent studies on chiral single-walled carbon nanotubes and B-DNA reveal areversal in the sign of the twist-stretch coupling at large strains. Thesimilarity in the response in these two distinct supramolecular assemblies andat high strains suggests a fundamental, chirality dependent non-linear elasticbehaviour. Here, we seek the link between the microscopic origin of thenon-linearities and the effective twist-stretch coupling using energy basedtheoretical frameworks and model simulations. Our analysis reveals a sensitiveinterplay between the deformation energetics and the sign of the coupling,highlighting robust design principles that determine both the sign and extentof these couplings. These design principles have been already exploited byNature to dynamically engineer such couplings, and have broad implications inmechanically coupled actuation, propulsion and transport in biology andtechnology.



Author: M. Upmanyu, H. L. Wang, H. Y. Liang, R. Mahajan

Source: https://arxiv.org/







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