Representation formula for the critical points of the tadjbakhsh-odeh functional and its application

Kohtaro Watanabe, Izumi Takagi

研究成果: Article査読

4 被引用数 (Scopus)

抄録

In order to study the buckled states of an elastic ring under uniform pressure, Tadjbakhsh and Odeh [14] introduced an energy functional which is a linear combination of the total squared curvature (elastic energy) and the area enclosed by the ring. We prove that the minimizer of the functional is not a disk when the pressure is large, and its curvature can be expressed by Jacobian elliptic cn(·) function. Moreover, the uniqueness of the minimizer is proven for certain range of the pressure.

本文言語English
ページ(範囲)331-372
ページ数42
ジャーナルJapan Journal of Industrial and Applied Mathematics
25
3
DOI
出版ステータスPublished - 2008 10月
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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