Abstract
In this review, we discuss some conditions for achieving non-interpenetration and self-contact of solids, in particular\r\nfor regular, inextensible, and closed elastic rods. We establish some equivalences between conditions that were stated\r\nsometimes independently, underlying their local or global character. We then examine three conditions related to virtual\r\ndisplacements and to topological characters of knots, that can be generalized to filaments, considering the midline of the\r\nloop as an inextensible regular knot
| Lingua originale | Inglese |
|---|---|
| pagine (da-a) | 1-20 |
| Numero di pagine | 20 |
| Rivista | Mathematics and Mechanics of Solids |
| Numero di pubblicazione | N/A |
| DOI | |
| Stato di pubblicazione | Pubblicato - 2024 |
All Science Journal Classification (ASJC) codes
- Matematica generale
- Scienza dei Materiali Generale
- Meccanica dei Materiali
Keywords
- Self-contact
- elastic rods
- injectivity
- knots
- non-interpenetration of matter
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