Kirchhoff elastic rods in three-dimensional space forms
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- Kawakubo Satoshi KAWAKUBO Satoshi
- Department of Applied Mathematics Fukuoka University
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Author(s)
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- Kawakubo Satoshi KAWAKUBO Satoshi
- Department of Applied Mathematics Fukuoka University
Abstract
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 60(2), 551-582, 2008-04-01
The Mathematical Society of Japan
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