On self-contact and non-interpenetration of elastic rods

被引：1

作者：

Lonati, Chiara ^{[1
]}

Marzocchi, Alfredo ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Pavia, Italy

[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis N Tartaglia, Via Garzetta 48, I-25133 Brescia, Italy

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2025年 / 30卷 / 02期

关键词：

Self-contact; injectivity; elastic rods; knots; non-interpenetration of matter; GLOBAL CURVATURE; INJECTIVITY; THICKNESS;

D O I：

10.1177/10812865231226311

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：450 / 469

页数：20

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