Publication
The shapes of physical trefoil knots
Publications associées (32)
Mechanics of Physical Knots: From Filaments in Contact to Surgical Suturing
In this thesis, we study the mechanics of tight physical knots. Knots are omnipresent in surgery, climbing, and sailing, with disastrous consequences when the filament or the rope fails to perform its function. Even if the importance of mechanical analysis ...
EPFL2023Computational Exploration of Multistable Elastic Knots
Mark Pauly, Michele Vidulis, Yingying Ren
We present an algorithmic approach to discover, study, and design multistable elastic knots. Elastic knots are physical realizations of closed curves embedded in 3-space. When endowed with the material thickness and bending resistance of a physical wire, t ...
2023The strength of surgical knots involves a critical interplay between friction and elastoplasticity
Pedro Miguel Nunes Pereira de Almeida Reis, Paul Johanns, Changyeob Baek, Paul Grandgeorge
Knots are the weakest link in surgical sutures, serving as mechanical ligatures between filaments. Exceeding their safe operational limits can cause fatal complications. The empirical nature of present guidelines calls for a predictive understanding of the ...
AMER ASSOC ADVANCEMENT SCIENCE2023Exploring the inner workings of the clove hitch knot
Pedro Miguel Nunes Pereira de Almeida Reis, Tomohiko Sano, Paul Johanns, Changyeob Baek, Paul Grandgeorge
We perform a combined experimental and computational investigation of the clove hitch knot. We develop a physical model for the clove hitch by tying an elastic rod onto a rigid cylinder. In the experiments, we characterize the mechanical performance, geome ...
ELSEVIER2022Cross verified independent measurements of correlated bubble property distributions as part of the scale-up of a catalytic bubbling fluidized bed reactor
Methanation can be applied as part of a Power-to-Gas (PtG) concept to store renewable electricity. Using a catalytic bubbling fluidized bed (BFB) methanation reactor allows a flexible and economic operation. Properties of bubbles rising through the fluidiz ...
EPFL2022New Reliability Assessment of MEMS Components under Accumulative Testing for Space Applications
This dissertation proposes a novel accumulative test method for MEMS-based, commercial off-the-shelves inertial measure units (IMUs) from the automotive field. The need for clarification and augmentation of the corpus of knowledge on MEMS reliability for s ...
EPFL2021Finite Element Modeling of Tight Elastic Knots
Pedro Miguel Nunes Pereira de Almeida Reis, Tomohiko Sano, Paul Johanns, Changyeob Baek, Paul Grandgeorge
We present a methodology to simulate the mechanics of knots in elastic rods using geometrically nonlinear, full three-dimensional (3D) finite element analysis. We focus on the mechanical behavior of knots in tight configurations, for which the full 3D defo ...
2020How to weave a perfect sphere with curved strips
Mark Pauly, Tian Chen, Yingying Ren
Triaxial weaving, a craft technique that enables the generation of surfaces with tri-directional arrays of initially straight elastic strips, has long been loved by basket makers and artists seeking a combination of practical and aesthetically-pleasing str ...
American Physical Society2020Tuning knot abundance in semiflexible chains with crowders of different sizes: a Monte Carlo study of DNA chains
We use stochastic simulation techniques to sample the conformational space of linear semiflexible polymers in a crowded medium and study how the knotting properties depend on the crowder size and concentration. The abundance of physical knots in the chains ...
Royal Society of Chemistry2016Untangling the Mechanics and Topology in the Frictional Response of Long Overhand Elastic Knots
Pedro Miguel Nunes Pereira de Almeida Reis
We combine experiments and theory to study the mechanics of overhand knots in slender elastic rods under tension. The equilibrium shape of the knot is governed by an interplay between topology, friction, and bending. We use precision model experiments to q ...
American Physical Society2015