Dual spherical elastica

YÜCESAN A., ÖZKAN TÜKEL G.

Filomat, cilt.37, sa.8, ss.2483-2493, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2308483y
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2483-2493
  • Anahtar Kelimeler: dual Euler-Lagrange equation, dual geodesic curvature, Dual spherical elastica, dual unit sphere, elastic strip
  • Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet

Özet

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.