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
| Original language | English |
|---|---|
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Mathematics and Mechanics of Solids |
| Issue number | N/A |
| DOIs | |
| Publication status | Published - 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Materials Science
- Mechanics of Materials
Keywords
- Self-contact
- elastic rods
- injectivity
- knots
- non-interpenetration of matter
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