ArticleRoyal Society open science2018
Forward and inverse problems in the mechanics of soft filaments.
Article in Royal Society open science, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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Who cites it
29 citing papers in PubMed, 210 citations in OpenAlex.
- Stochastic Entanglement of Deterministic Origami Tentacles For Robust Robotic Grasping.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- A Comprehensive General Model of Tendon-Actuated Concentric Tube Robots with Multiple Tubes and Tendons.IEEE transactions on medical robotics and bionics · 2026Article
- A Data-Driven Inverse Design Methodology for Magnetic Soft Millirobots Navigating in Confined Spaces.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Bioinspired milliscale near-boundary undulatory motion for fluid transport and adhesive locomotion.Science advances · 2026Article
- Hierarchical Artificial Muscle with Nonlinear Elasticity for Antagonistic and Cyclic Robotics.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Rotational 3D printing of active-passive filaments and lattices with programmable shape morphing.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Neural reservoir control of a bio-hybrid soft arm.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Configuration identification of on-demand variable stiffness strain-limiting layers in zig-zag soft pneumatic actuators using deep learning methods.The International journal of robotics research · 2026Article
- Reversible kink instability drives ultrafast jumping in nematodes and soft robots.Science robotics · 2025Article
- Parametric modeling of deformable linear objects for robotic outfitting and maintenance of space systems.Frontiers in robotics and AI · 2025Article
- A comprehensive numerical approach to coil placement in cerebral aneurysms: mathematical modeling and in silico occlusion classification.Biomechanics and modeling in mechanobiology · 2024Article
- Topology, dynamics, and control of a muscle-architected soft arm.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- On the mechanical origins of waving, coiling and skewing inProceedings of the National Academy of Sciences of the United States of America · 2024Article
- Automated resolution of the spiral torsion spring inverse design problem.Scientific reports · 2024Article
- A Hybrid Controller for a Soft Pneumatic Manipulator Based on Model Predictive Control and Iterative Learning Control.Sensors (Basel, Switzerland) · 2023Article
- Reduced order modeling and model order reduction for continuum manipulators: an overview.Frontiers in robotics and AI · 2023Review
- Kinematic Analysis of Bionic Elephant Trunk Robot Based on Flexible Series-Parallel Structure.Biomimetics (Basel, Switzerland) · 2022Article
- Conformational deformation of a multi-jointed elastic loop.Scientific reports · 2022Article
- Active entanglement enables stochastic, topological grasping.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Writhing and hockling instabilities in twisted elastic fibers.The European physical journal. E, Soft matter · 2021Article
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Soft slender structures are ubiquitous in natural and artificial systems, in active and passive settings and across scales, from polymers and flagella, to snakes and space tethers. In this paper, we demonstrate the use of a simple and practical numerical implementation based on the Cosserat rod model to simulate the dynamics of filaments that can bend, twist, stretch and shear while interacting with complex environments via muscular activity, surface contact, friction and hydrodynamics. We validate our simulations by solving a number of forward problems involving the mechanics of passive filaments and comparing them with known analytical results, and extend them to study instabilities in stretched and twisted filaments that form solenoidal and plectonemic structures. We then study active filaments such as snakes and other slender organisms by solving inverse problems to identify optimal gaits for limbless locomotion on solid surfaces and in bulk liquids.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.