TY - JOUR
T1 - New amplitude equations for thin elastic rods
AU - Goriely, Alain
AU - Tabor, Michael
PY - 1996
Y1 - 1996
N2 - The stability of twisted straight rods is described within the framework of the time dependent Kirchhoff equations for thin elastic filaments. A perturbation method is developed to study the linear stability of this problem and find the dispersion relations. A nonlinear analysis results in a new amplitude equation, describing the deformation of the rod beyond the instability, which takes the form of a pair of nonlinear, second-order evolution equations coupling the local deformation amplitude to the twist density. Various solutions, such as solitary waves, are presented.
AB - The stability of twisted straight rods is described within the framework of the time dependent Kirchhoff equations for thin elastic filaments. A perturbation method is developed to study the linear stability of this problem and find the dispersion relations. A nonlinear analysis results in a new amplitude equation, describing the deformation of the rod beyond the instability, which takes the form of a pair of nonlinear, second-order evolution equations coupling the local deformation amplitude to the twist density. Various solutions, such as solitary waves, are presented.
UR - http://www.scopus.com/inward/record.url?scp=0012920014&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0012920014&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.77.3537
DO - 10.1103/PhysRevLett.77.3537
M3 - Article
AN - SCOPUS:0012920014
SN - 0031-9007
VL - 77
SP - 3537
EP - 3540
JO - Physical review letters
JF - Physical review letters
IS - 17
ER -