Concept
Courbure de Gauss
Publications associées (136)
Anomalous and Chern topological waves in hyperbolic networks
Romain Christophe Rémy Fleury, Haoye Qin, Aleksi Antoine Bossart, Zhechen Zhang
Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental ...
2024Indentation and stability of woven domes
Pedro Miguel Nunes Pereira de Almeida Reis, Célestin Vallat, Tian Chen, Tomohiko Sano, Samuel Jean Bernard Poincloux
Discrete domes are doubly curved structures comprising a network of beam-like elements. We study the mechanics of discrete domes made of ribbons woven in a pentagonal triaxial pattern. Experiments and finite element simulations are performed to characteriz ...
ELSEVIER2023In-situ atomic level observation of the strain response of graphene lattice
Strain is inevitable in two-dimensional (2D) materials, regardless of whether the film is suspended or supported. However, the direct measurement of strain response at the atomic scale is challenging due to the difficulties of maintaining both flexibility ...
NATURE PORTFOLIO2023Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC
Josephine Anna Eleanor Hughes, Francesco Stella, Qinghua Guan
Soft robot are celebrated for their propensity to enable compliant and complex robot-environment interactions. Soft robotic manipulators, or slender continuum structure robots have the potential to exploit these interactions to enable new exploration and m ...
IEEE2023How Lagrangian States Evolve Into Random Waves
In this paper, we consider a compact connected manifold (X, g) of negative curvature, and a family of semi-classical Lagrangian states f(h)(x) = a(x)e(i phi(x)/h) on X. For a wide family of phases phi, we show that f(h), when evolved by the semi-classical ...
ECOLE POLYTECHNIQUE2022Nonperturbative Quantum Field Theory in Curved Spacetime
Quantum Field Theory(QFT) as one of the most promising frameworks to study high energy and condensed matter physics, has been mostly developed by perturbative methods. However, perturbative methods can only capture a small island of the space of QFTs.QFT i ...
EPFL2022Computational Design of Weingarten Surfaces
In this paper we study Weingarten surfaces and explore their potential for fabrication-aware design in freeform architecture. Weingarten surfaces are characterized by a functional relation between their principal curvatures that implicitly defines approxim ...
ASSOC COMPUTING MACHINERY2021GarNet++: Improving Fast and Accurate Static 3D Cloth Draping by Curvature Loss
Pascal Fua, Mathieu Salzmann, Victor Constantin, Shaifali Parashar, Erhan Gündogdu
In this paper, we tackle the problem of static 3D cloth draping on virtual human bodies. We introduce a two-stream deep network model that produces a visually plausible draping of a template cloth on virtual 3D bodies by extracting features from both the b ...
2020Adaptive Gradient Descent without Descent
We present a strikingly simple proof that two rules are sufficient to automate gradient descent: 1) don’t increase the stepsize too fast and 2) don’t overstep the local curvature. No need for functional values, no line search, no information about the func ...
2020Instability of a thin viscous film flowing under an inclined substrate: steady patterns
François Gallaire, Gioele Mariano Nicolò Balestra, Pier Giuseppe Ledda, Gaëtan Pierre Clément Lerisson
The flow of a thin film coating the underside of an inclined substrate is studied. We measure experimentally spatial growth rates and compare them to the linear stability analysis of a flat film modelled by the lubrication equation. When forced by a statio ...
CAMBRIDGE UNIV PRESS2020