Elastic Strips with Spacelike Directrix
Bulletin of the Malaysian Mathematical Sciences Society, vol.42, no.5, pp.2623-2638, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 42 Issue: 5
- Publication Date: 2019
- Doi Number: 10.1007/s40840-018-0622-0
- Journal Name: Bulletin of the Malaysian Mathematical Sciences Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2623-2638
- Keywords: Conservation laws, Elastic strips, Variational calculus
- Isparta University of Applied Sciences Affiliated: Yes
Abstract
The elasticity of a rectifying strip with a spacelike directrix (base curve) is studied using the differential geometry of developable surfaces and variational techniques. Two conservation laws are derived in Minkowski 3-space R13 by constructing two different variations including only Lorentz translations or rotations. By means of these laws two new types of elastic strips are defined: momentum strips and force-free strips. There exists a connection between elastic curves on de Sitter 2-space and pseudohyperbolic space and elastic strips with spacelike directrix.