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
收藏
页码：450 / 469
页数：20
相关论文
共 50 条
  • [21] Self-Contact and Instabilities in the Anisotropic Growth of Elastic Membranes
    Stoop, Norbert
    Wittel, Falk K.
    Ben Amar, Martine
    Mueller, Martin Michael
    Herrmann, Hans J.
    PHYSICAL REVIEW LETTERS, 2010, 105 (06)
  • [22] Quasistatic crack growth in finite elasticity with non-interpenetration
    Dal Maso, Gianni
    Lazzaroni, Giuliano
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27 (01): : 257 - 290
  • [23] Approximation of a Brittle Fracture Energy with a Constraint of Non-interpenetration
    Antonin Chambolle
    Sergio Conti
    Gilles A. Francfort
    Archive for Rational Mechanics and Analysis, 2018, 228 : 867 - 889
  • [24] Matched asymptotic expansions for twisted elastic knots: A self-contact problem with non-trivial contact topology
    Clauvelin, N.
    Audoly, B.
    Neukirch, S.
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (09) : 1623 - 1656
  • [25] Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials
    Giacomini, Alessandro
    Ponsiglione, Marcello
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 1019 - 1041
  • [26] Modeling self-contact forces in the elastic theory of DNA supercoiling
    Westcott, TP
    Tobias, I
    Olson, WK
    JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (10): : 3967 - 3980
  • [27] A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints
    Walker, Shawn W.
    JOURNAL OF SCIENTIFIC COMPUTING, 2024, 99 (02)
  • [28] Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
    Almi, Stefano
    Davoli, Elisa
    Friedrich, Manuel
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 175 : 1 - 36
  • [29] A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints
    Shawn W. Walker
    Journal of Scientific Computing, 2024, 99
  • [30] CRACK GROWTH WITH NON-INTERPENETRATION: A SIMPLIFIED PROOF FOR THE PURE NEUMANN PROBLEM
    Dal Maso, Gianni
    Lazzaroni, Giuliano
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (04) : 1219 - 1231
12345