Relaxed hyperelastic curves

Ahmet Yücesan, Gözde Özkan, and Yasemín Yay. "Relaxed hyperelastic curves." Annales Polonici Mathematici 102.3 (2011): 223-230. <http://eudml.org/doc/280739>.

@article{AhmetYücesan2011,
abstract = {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.},
author = {Ahmet Yücesan, Gözde Özkan, Yasemín Yay},
journal = {Annales Polonici Mathematici},
keywords = {Relaxed hyperelastic curve; elasticity problem; surface in three-dimensional Euclidean space; geodesics},
language = {eng},
number = {3},
pages = {223-230},
title = {Relaxed hyperelastic curves},
url = {http://eudml.org/doc/280739},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Ahmet Yücesan
AU - Gözde Özkan
AU - Yasemín Yay
TI - Relaxed hyperelastic curves
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 3
SP - 223
EP - 230
AB - 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.
LA - eng
KW - Relaxed hyperelastic curve; elasticity problem; surface in three-dimensional Euclidean space; geodesics
UR - http://eudml.org/doc/280739
ER -