TY - JOUR
T1 - On self-contact and non-interpenetration of elastic rods
AU - Lonati, Chiara
AU - Marzocchi, Alfredo
PY - 2024
Y1 - 2024
N2 - 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
AB - 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
KW - Self-contact, injectivity, elastic rods, knots, non-interpenetration of matter
KW - Self-contact, injectivity, elastic rods, knots, non-interpenetration of matter
UR - http://hdl.handle.net/10807/294596
U2 - 10.1177/10812865231226311
DO - 10.1177/10812865231226311
M3 - Article
SN - 1081-2865
SP - 1
EP - 20
JO - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
ER -