| dc.creator |
Tukel, Gozde Ozkan |
|
| dc.creator |
YÜCESAN, Ahmet |
|
| dc.date |
2020-01-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T09:49:20Z |
|
| dc.date.available |
2020-10-06T09:49:20Z |
|
| dc.identifier |
46e3fe31-7b8d-4146-a595-efa6883bb7b9 |
|
| dc.identifier |
10.1142/s021988782050022x |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/46e3fe31-7b8d-4146-a595-efa6883bb7b9/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/58969 |
|
| dc.description |
The solution of the variational problem which gives elastic strips in Minkowski 3-space is separately obtained for elastic strips with null and pseudo-null directrix. First, critical points of the modified Sadowsky functional (which depends on the modified torsion) for elastic strips with null directrix are characterized by three Euler-Lagrange equations. A connection is established between elastic curves on the two-dimensional null cone and elastic strips with null directrix. Then conservation laws of elastic strips with null directrix in Minkowski 3-space are given. Second, equilibrium equations for elastic strips with pseudo-null directrix are determined and solved. It is also shown the tangent and the binormal of a critical curve of the Sadowsky functional correspond to a null elastic curve in de Sitter 2-space and a spacelike elastic curve in the two-dimensional null cone, respectively. Finally, two conservation laws for elastic strips with pseudo-null directrix are derived. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Elastic strips with null and pseudo-null directrix |
|
| dc.type |
info:eu-repo/semantics/article |
|