Published 2014
| Version Submitted
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Lie Symmetry Analysis for Cosserat Rods
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 function 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.
Additional Information
© 2014 Springer International Publishing Switzerland. The contribution of the third author (V.P.G.) was partially supported by the grant 13-01-00668 from the Russian Foundation for Basic Research. We thank Markus Lange-Hegermann and Paul Mueller for useful remarks. The authors are grateful to the reviewers' valuable comments that improved the manuscript.Attached Files
Submitted - 1411.1735v1.pdf
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1411.1735v1.pdf
Additional details
Identifiers
- Eprint ID
- 53821
- Resolver ID
- CaltechAUTHORS:20150116-102717658
Related works
- Describes
- http://arxiv.org/abs/1411.1735 (URL)
Funding
- Russian Foundation for Basic Research
- 13-01-00668
Dates
- Created
-
2015-01-16Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
Caltech Custom Metadata
- Series Name
- Lecture Notes in Computer Science
- Series Volume or Issue Number
- 8660