Relaxed hyperelastic curves

• Autorzy: Ahmet Yücesan , Gözde Özkan , Yasemín Yay
• Języki publikacji: EN

Abstrakty

EN

We define relaxed hyperelastic curve, which is a generalization of relaxed elastic lines, on an oriented surface in three-dimensional Euclidean space E³, and we derive the intrinsic equations for a relaxed hyperelastic curve on a surface. Then, by examining relaxed hyperelastic curves in a plane, on a sphere and on a cylinder, we show that geodesics are relaxed hyperelastic curves in a plane and on a sphere. But on a cylinder, they are relaxed hyperelastic curves only in special cases.

Kategorie tematyczne

• 53C22: Geodesics
• 74B20: Nonlinear elasticity
• 53A05: Surfaces in Euclidean space
• 53A04: Curves in Euclidean space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 3
• Strony: 223-230

Daty

wydano

2011

Twórcy

autor

Ahmet Yücesan

• Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey

autor

Gözde Özkan

• Süleyman Demirel University, Graduate School of Natural and Sciences, Department of Mathematics, Isparta, Turkey

autor

Yasemín Yay

• Department of Mathematics, Giresun University, 28100 Giresun, Turkey

Identyfikatory

DOI

10.4064/ap102-3-3