Physics – Mathematical Physics
Scientific paper
2003-10-27
Physics
Mathematical Physics
17 pages, 4 figures
Scientific paper
We combine and extend the work of Alexander & Antman \cite{alexander.82} and Fuller \cite{fuller.71,fuller.78} to give a framework within which precise definitions can be given of topological and geometrical quantities characterising the contortion of open rods undergoing large deformations under end loading. We use these definitions to examine the extension of known results for closed rods to open rods. In particular, we formulate the analogue of the celebrated formula $Lk=Tw+Wr$ (link equals twist plus writhe) for open rods and propose an end rotation, through which the applied end moment does work, in the form of an integral over the length of the rod. The results serve to promote the variational analysis of boundary-value problems for rods undergoing large deformations.
der Heijden Gert H. M. van
Peletier Mark A.
Planqué Robert
No associations
LandOfFree
A consistent treatment of link and writhe for open rods, and their relation to end rotation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A consistent treatment of link and writhe for open rods, and their relation to end rotation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A consistent treatment of link and writhe for open rods, and their relation to end rotation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-374813