Computational design and automated fabrication of kirchhoff-plateau surfaces
J Pérez, MA Otaduy, B Thomaszewski - ACM Transactions on Graphics …, 2017 - dl.acm.org
We propose a computational tool for designing Kirchhoff-Plateau Surfaces---planar rod
networks embedded in pre-stretched fabric that deploy into complex, three-dimensional …
networks embedded in pre-stretched fabric that deploy into complex, three-dimensional …
Solution of the Kirchhoff–Plateau problem
GG Giusteri, L Lussardi, E Fried - Journal of Nonlinear Science, 2017 - Springer
Abstract The Kirchhoff–Plateau problem concerns the equilibrium shapes of a system in
which a flexible filament in the form of a closed loop is spanned by a liquid film, with the …
which a flexible filament in the form of a closed loop is spanned by a liquid film, with the …
Variational analysis of inextensible elastic curves
G Bevilacqua, L Lussardi… - Proceedings of the …, 2022 - royalsocietypublishing.org
We minimize elastic energies on framed curves which penalize both curvature and torsion.
We also discuss critical points using the infinite dimensional version of the Lagrange …
We also discuss critical points using the infinite dimensional version of the Lagrange …
Dimensional reduction of the Kirchhoff-Plateau problem
G Bevilacqua, L Lussardi, A Marzocchi - Journal of Elasticity, 2020 - Springer
We obtain the minimal energy solution of the Plateau problem with elastic boundary as a
variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when …
variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when …
Minimal surfaces with elastic and partially elastic boundary
We study equilibrium surfaces for an energy which is a linear combination of the area and a
second term which measures the bending and twisting of the boundary. Specifically, the …
second term which measures the bending and twisting of the boundary. Specifically, the …
Effects of surface tension and elasticity on critical points of the Kirchhoff–Plateau problem
G Bevilacqua, C Lonati - Bollettino dell'Unione Matematica Italiana, 2024 - Springer
We introduce a modified Kirchhoff–Plateau problem adding an energy term to penalize
shape modifications of the cross-sections appended to the elastic midline. In a specific …
shape modifications of the cross-sections appended to the elastic midline. In a specific …
Soap films: from the Plateau problem to deformable boundaries
G Bevilacqua, L Lussardi, A Marzocchi - arXiv preprint arXiv:2410.06179, 2024 - arxiv.org
arXiv:2410.06179v1 [math.AP] 8 Oct 2024 Page 1 SOAP FILMS: FROM THE PLATEAU
PROBLEM TO DEFORMABLE BOUNDARIES GIULIA BEVILACQUA1* − LUCA LUSSARDI 2† …
PROBLEM TO DEFORMABLE BOUNDARIES GIULIA BEVILACQUA1* − LUCA LUSSARDI 2† …
Self-contact preventing energy for tubular rods
C Lonati, A Marzocchi - arXiv preprint arXiv:2401.15454, 2024 - arxiv.org
We introduce a generalization of Mobius energy for knots to an energy functional for tubular
neighbourhoods of closed inextensible curves. We prove the continuity of the energy and its …
neighbourhoods of closed inextensible curves. We prove the continuity of the energy and its …
Influence of a spanning liquid film on the stability and buckling of a circular loop with intrinsic curvature or intrinsic twist density
A variational model is used to study the behavior of a flexible but inextensible loop spanned
by a liquid film, with the objective of explaining the stability and buckling of flat circular …
by a liquid film, with the objective of explaining the stability and buckling of flat circular …
Strained Elastic Surfaces with Adjustable-Modulus Edges (SESAMEs) for Soft Robotic Actuation
For robots to interact safely with humans and travel with minimal weight, low-density
packable actuators are sought. Electronically-driven active materials like shape memory …
packable actuators are sought. Electronically-driven active materials like shape memory …