Relaxed hyperelastic curves

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YÜCESAN A. , Ozkan G. , Yay Y.

ANNALES POLONICI MATHEMATICI, cilt.102, ss.223-230, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 102 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.4064/ap102-3-3
  • Sayfa Sayıları: ss.223-230


We define relaxed hyperelastic curve, which is a generalization of relaxed elastic lines, on an oriented surface in three-dimensional Euclidean space E(3), 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.