Computational mechanics of soft filaments

TL;DR

This paper introduces a comprehensive numerical method for simulating the complex dynamics of soft filaments, capable of modeling all deformation modes and interactions with various environments, useful for both natural and engineered systems.

Contribution

The paper presents a novel, practical computational framework that accurately models the full deformation spectrum of soft filaments and their interactions in diverse environments.

Findings

Validated against benchmark problems with known solutions.

Successfully modeled solenoid and plectoneme formation in twisted filaments.

Demonstrated inverse problem solving in biophysical locomotion scenarios.

Abstract

Soft slender structures are ubiquitous in natural and artificial systems and can be observed at scales that range from the nanometric to the kilometric, from polymers to space tethers. We present a practical numerical approach to simulate the dynamics of filaments that, at every cross-section, can undergo all six possible modes of deformation, allowing the filament to bend, twist, stretch and shear, while interacting with complex environments via muscular activity, surface contact, friction and hydrodynamics. We examine the accuracy of our method by means of several benchmark problems with known analytic solutions. We then demonstrate the capabilities and robustness of our approach to solve forward problems in physics and mechanics related to solenoid and plectoneme formation in twisted, stretched filaments, and inverse problems related to active biophysics of limbless locomotion on solid surfaces and in bulk liquids. All together, our approach provides a robust computational framework to characterize the mechanical response and design of soft active slender structures.