Kirchhoff elastic rods in three-dimensional space forms

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概要

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• The Kirchhoff elastic rod is one of the mathematical models of thin elastic rods, and is characterized as a critical point of the energy functional obtained by adding the effect of twisting to the bending energy. In this paper, we investigate Kirchhoff elastic rods in three-dimensional space forms. In particular, we give explicit formulas of Kirchhoff elastic rods in the three-sphere and in the three-dimensional hyperbolic space in terms of Jacobi sn function and the elliptic integrals.

• 社団法人 日本数学会の論文
• 2008-04-01

著者

• Kawakubo Satoshi

  Department Of Applied Mathematics Fukuoka University

関連論文

• Kirchhoff elastic rods in three-dimensional space forms

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