Concept
One-dimensional space
Publications associées (267)
Stable cones in the thin one-phase problem
The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one -phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions n >= 3 is completely open. In this context, axial ...
Johns Hopkins Univ Press2024Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC
Aude Billard, Mikhail Koptev, Nadia Barbara Figueroa Fernandez
Dynamical system (DS) based motion planning offers collision-free motion, with closed-loop reactivity thanks to their analytical expression. It ensures that obstacles are not penetrated by reshaping a nominal DS through matrix modulation, which is construc ...
Sage Publications Ltd2024Numerical investigation of two-dimensional Mode-II delamination in composite laminates
Thomas Keller, Anastasios Vassilopoulos, Congzhe Wang
Delamination in real composite structures, which generally tends to grow in two-dimensions, sometimes cannot be appropriately represented by the widely accepted test methods where one-dimensional (1D) beam specimens are typically employed. In order to comp ...
2024Infrared-active phonons in one-dimensional materials and their spectroscopic signatures
Nicola Marzari, Norma Rivano, Thibault Daniel Pierre Sohier
Dimensionality provides a clear fingerprint on the dispersion of infrared-active, polar-optical phonons. For these phonons, the local dipoles parametrized by the Born effective charges drive the LO-TO splitting of bulk materials; this splitting actually br ...
Berlin2023Twisting instabilities in elastic ribbons with inhomogeneous pre-stress: A macroscopic analog of thermodynamic phase transition
Pedro Miguel Nunes Pereira de Almeida Reis, Michael Christopher Gomez
We study elastic ribbons subject to large, tensile pre-stress confined to a central region within the cross-section. These ribbons can buckle spontaneously to form helical shapes, featuring regions of alternating chirality (phases) that are separated by so ...
PERGAMON-ELSEVIER SCIENCE LTD2023