arXiv Analytics

Sign in

arXiv:1411.1735 [math.AP]AbstractReferencesReviewsResources

Lie Symmetry Analysis for Cosserat Rods

Dominik L. Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Gerrit A. Sobottka, Andreas G. Weber

Published 2014-11-06Version 1

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.

Comments: 12 Pages, 1 Figure
Journal: Proceedings of Computer Algebra in Scientific Computing, CASC 2014, Pages 326-336, Lecture Notes in Computer Science, Springer, Sept. 2014
Categories: math.AP, math.RA
Related articles: Most relevant | Search more
arXiv:2402.03418 [math.AP] (Published 2024-02-05)
On symmetries and conservation laws of a Gardner equation involving arbitrary functions
arXiv:math/0509534 [math.AP] (Published 2005-09-23)
On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
arXiv:1202.2402 [math.AP] (Published 2012-02-11, updated 2012-02-15)
Applications of the L_2-Transform to Partial Differential Equations

Links

Toolbox