Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods

Prior, Christopher

doi:10.1007/s10659-014-9472-7

Cited by 7 publications

(4 citation statements)

References 47 publications

(100 reference statements)

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“…They find exact, analytical equations for the forces and energies in Kirchoff rods, but only for inextensible, uniformly-curved circular rods. Prior et al 15 develop a Kirchoff rod model for finding the bending and torsional response of helical birods from the bending and torsional responses of the constituent rods.…”

Section: -D Rod Models For Biological Objectsmentioning

confidence: 99%

KOBRA: a fluctuating elastic rod model for slender biological macromolecules

et al. 2020

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Section: -D Rod Models For Biological Objectsmentioning

confidence: 99%

KOBRA: a fluctuating elastic rod model for slender biological macromolecules

et al. 2020

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“…In the engineering literature concerning wire ropes [4], the significant downside to the approach was the lack of considering the whole system in a single model [14]. Consequently, most of the theoretical works based on a rod model for wire ropes rely on the same geometric assumptions of elliptic cross sections [4], which is only valid for small helical angle θ .…”

Section: Kinematicsmentioning

confidence: 99%

Residual twist in a double-layer strand and its correlation with bending fatigue

Morimoto¹,

Ashida³

2015

Acta Mech

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We propose a method to characterize an undeformed double-layer strand with residual stress by considering the deviation from the self-equilibrium configuration where torque is balanced without any external forces. We first derive the residual twist defined as the deviation of internal twisting moment in the strand from the self-equilibrium configuration. The residual twist gives a measure of the effective torsional rigidity of the strand, determined by the geometrical, material, and mechanical parameters from the microstructural viewpoint. Then, we correlate the residual twist with the fatigue life of (3+8)-glass strands embedded in a rubber matrix under cyclic bending. We show that the residual twist correlates with the number of cycles to failure for specific (3+8)-glass strands having the identical twist direction.

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“…Such models range from isolated filaments [7][8][9], to exact geometrical models [10][11][12][13] and multi-scale continuum approaches [14][15][16][17]. Their applications are diverse, including actin filaments [18], microtubules [19,20], collagen bundles [21], optic nerves [22,23], muscle fibres [14], fabric composites [24], carbon fibres [25] and mechanical ropes [26].…”

Section: Introductionmentioning

confidence: 99%

A minimal model of elastic instabilities in biological filament bundles

Prior

Panter

Kusumaatmaja

2022

J. R. Soc. Interface.

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We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal collapse. We explore the transitions between these deformation modes numerically, using an energy minimization approach, highlighting how supported environments, or stiff outer sheath structures, favour internal structural collapse over global deformation. We then derive a novel analytic buckling criterion for the internal collapse of the system, a mode of structural collapse pertinent in many biological filament bundles such as the optic nerve bundle and microtubule bundles involved in cell abscission.

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Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods

Cited by 7 publications

References 47 publications

KOBRA: a fluctuating elastic rod model for slender biological macromolecules

KOBRA: a fluctuating elastic rod model for slender biological macromolecules

Residual twist in a double-layer strand and its correlation with bending fatigue

A minimal model of elastic instabilities in biological filament bundles

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