Skip to main content

elastica

Stabilization against gravity and self-tuning of an elastic variable-length rod through an oscillating sliding sleeve

Submitted by Francesco Dal Corso on

Is it possible to prevent the fall of a rod inside a sliding sleeve due to gravity?

By controlling the transverse oscillations of the constraint and revealing a novel self-tuning dynamic response, we provide a positive answer to this question in our paper:

Double restabilization and design of force–displacement response of the extensible elastica with movable constraints

Submitted by Francesco Dal Corso on

May a double restabilization of the trivial path occurr at monotonically increasing compression force?

May movable constraints be exploited to attain target force–displacement curves?

 

We provide a positive answer to both of these questions in our paper: Koutsogiannakis, Bigoni, Dal Corso. Double restabilization and design of force-displacement response of the extensible elastica with movable constraints, European Journal of Mechanics - A/Solids (2022)

Configurational forces and nonlinear structural dynamics

Submitted by Davide Bigoni on

How a mass falls when attached to a flexible element with varying length?
We provide the answer to this question in our paper: Armanini, Dal Corso, Misseroni, Bigoni (2019) Configurational forces and nonlinear structural dynamics.
Journal of the Mechanics and Physics of Solids.
Enjoy watching our video below (would you have trouble playing video on YouTube, click here to watch it).

The Elastica Catastrophe Machine

Submitted by Francesco Dal Corso on

May a catastrophe machine be realized through an elastic continuous element?
We provide a positive answer to this question in our paper: Cazzolli, Misseroni, Dal Corso. Elastica catastrophe machine: theory, design and experiments. Journal of the Mechanics and Physics of Solids.

Enjoy watching our videos below (would you have trouble playing videos on YouTube, click here to watch them).

 

Partial constraint singularities in elastic rods

Submitted by Harmeet Singh on

We present a unified classical treatment of partially constrained elastic rods. Partial constraints often entail singularities in both shapes and reactions. Our approach encompasses both sleeve and adhesion problems, and provides simple and unambiguous derivations of counterintuitive results in the literature. Relationships between reaction forces and moments, geometry, and adhesion energies follow from the balance of energy during quasistatic motion. We also relate our approach to the configurational balance of material momentum and the concept of a driving traction.

The injection of an elastic rod

Submitted by Davide Bigoni on

What should be expected when an elastic rod is forced to slip inside a sliding sleeve and against an obstacle?

After buckling, configurational forces play a strong role, so that a force reversal is observed!

Enjoy the injection of an elastic rod at http://www.ing.unitn.it/~bigoni/injection.html

What are the boundary conditions of an elastic rod at a clamp moving on a perfectly smooth and rigid circular profile?

Submitted by Davide Bigoni on

What are the boundary conditions of an elastic rod at a clamp moving on a perfectly smooth and rigid circular profile?

The tangential shear at the clamp turns out to not be null!

See http://www.ing.unitn.it/~bigoni/multiple_bifurcations.html

 

Micromechanics of collective buckling in CNT turfs

Submitted by Hamid Torabi on

Complex structures consisting of intertwined, nominally vertical carbon nanotubes (CNTs) are called turfs. Under uniform compression experiments, CNT turfs exhibit irreversible collective buckling of a layer preceded by reorientation of CNT segments. Experimentally observed independence of the buckling stress and the buckling wavelength on the turf width suggests the existence of an intrinsic material length.