On self-contact and non-interpenetration of elastic rods

Chiara Lonati, Alfredo Marzocchi*

*Corresponding author

Research output: Contribution to journalArticlepeer-review

Abstract

In this review, we discuss some conditions for achieving non-interpenetration and self-contact of solids, in particular for regular, inextensible, and closed elastic rods. We establish some equivalences between conditions that were stated sometimes independently, underlying their local or global character. We then examine three conditions related to virtual displacements and to topological characters of knots, that can be generalized to filaments, considering the midline of the loop as an inextensible regular knot
Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalMathematics and Mechanics of Solids
DOIs
Publication statusPublished - 2024

Keywords

  • Self-contact, injectivity, elastic rods, knots, non-interpenetration of matter

Fingerprint

Dive into the research topics of 'On self-contact and non-interpenetration of elastic rods'. Together they form a unique fingerprint.

Cite this