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Lie Symmetry Analysis for Cosserat Rods
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.Comment: 12 Pages, 1 Figur