An overview of elastic waveguides with dynamic sub-structures

The present paper gives an overview of several mathematical formulations that connect Floquet theory to the dynamic response of multi-scale waveguides, which include inertial sub-structures subjected to external forces.

https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0381

Computational model of twisted elastic ribbons

Development of an irregular lattice mass-spring model to simulate and study the deformation modes of a thin elastic ribbon as a function of applied end-to-end twist and tension

https://doi.org/10.1103/PhysRevE.108.015003

Computational model of twisted elastic ribbons

Development of an irregular lattice mass-spring model to simulate and study the deformation modes of a thin elastic ribbon as a function of applied end-to-end twist and tension

https://arxiv.org/abs/2210.14374

Structural Transition from Helices to Hemihelices

A recent, simple experiment using elastomer strips reveals hemihelices with multiple reversals of chirality can also occur, a richness not anticipated by existing analyses. They show through analysis and experiments that the transition from a helical to a hemihelical shape, as well as the number of perversions, depends on the height to width ratio of the strip's cross-section.

https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0093183

The buzzer—a novel physical perspective on a classical toy

In this paper they propose a physical model which allows for the qualitative and quantitative description of the fundamental physical properties of the "buzzer"-toy and report on
the good agreement between theoretical and experimental data. The model is designed to give a basis for further simplification.

https://www.rose-hulman.edu/%7Emoloney/Ph425/ProjectPDFs/0143-0807_31_3_007_buzzer_toy.pdf

Torsion instability of soft solid cylinders

The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the geometrical constraints impose zero displacement of the axis of the cylinder, preventing the occurrence of such twisting instability. Under these experimental conditions, wrinkles occur on the cylinder's surface at a given critical angle of torsion. Here they investigate this subclass of elastic instability of soft cylinders subject to a combined finite axial stretch and torsion, by applying the theory of incremental elastic deformation superimposed on finite strains.

https://arxiv.org/abs/2009.09790