Dual spherical elastica

YÜCESAN A., ÖZKAN TÜKEL G.

Filomat, vol.37, no.8, pp.2483-2493, 2023 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2308483y
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2483-2493
  • Keywords: dual Euler-Lagrange equation, dual geodesic curvature, Dual spherical elastica, dual unit sphere, elastic strip
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

The solutions of the dual bending energy functional on the dual unit sphere S2 ⊂ D3 are investi-gated. Dual spherical elastica is characterized by the dual Euler-Lagrange equation by using techniques of calculus of variation. The real and dual parts of the dual Euler-Lagrange differential equation are solved by different methods. Dual spherical elastica is shown to correspond to the elastic strip constituted by planar elastica in R3.