Work

Metastability of a Periodic Network of Threads: Shapes of a Knitted Fabric

Year: 2024

Type: article

Abstract: Knitted fabrics are metamaterials with remarkable mechanical properties, such as extreme deformability and multiple history-dependent rest shapes. This Letter shows that those properties may stem from a continuous set of metastable states for a fabric free of external forces. This is evidenced through experiments, numerical simulations, and analytical developments. Those states arise from the frictional contact forces acting in the braid zone where the threads interlace and follow a line in the configuration space accurately described by a 2D-elastica model. The friction coefficient sets a terminal point along this line, and the continuous set of metastable states is obtained by varying the braid inclination while contact forces remain on the friction cone.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.248201

Authors: Jérôme Crassous, Samuel Poincloux, Audrey Steinberger

Institutions: Université de Rennes, Aoyama Gakuin University, École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Laboratoire de Physique de l'ENS de Lyon

Language: English

Topic: Advanced Materials and Mechanics

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Centre National de la Recherche Scientifique, Japan Society for the Promotion of Science

Awards: Fibres networks and Scales of friction, G5020422105