Lie Symmetry Analysis for Cosserat Rods
Analysis of PDEs
2014-11-07 v1 Rings and Algebras
Abstract
We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary functions in t. Assuming analyticity of the arbitrary functions in a domain under consideration, we prove that the obtained solution is analytic and general. The Special Cosserat Theory of Rods describes the dynamic equilibrium of 1-dimensional continua, i.e. slender structures like fibers, by means of a system of partial differential equations.
Cite
@article{arxiv.1411.1735,
title = {Lie Symmetry Analysis for Cosserat Rods},
author = {Dominik L. Michels and Dmitry A. Lyakhov and Vladimir P. Gerdt and Gerrit A. Sobottka and Andreas G. Weber},
journal= {arXiv preprint arXiv:1411.1735},
year = {2014}
}
Comments
12 Pages, 1 Figure