Properties of compressible elastica from relativistic analogy

Oz Oshri, Haim Diamant

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Kirchhoff's kinetic analogy relates the deformation of an incompressible elastic rod to the classical dynamics of rigid body rotation. We extend the analogy to compressible filaments and find that the extension is similar to the introduction of relativistic effects into the dynamical system. The extended analogy reveals a surprising symmetry in the deformations of compressible elastica. In addition, we use known results for the buckling of compressible elastica to derive the explicit solution for the motion of a relativistic nonlinear pendulum. We discuss cases where the extended Kirchhoff analogy may be useful for the study of other soft matter systems.

Original languageEnglish
Pages (from-to)664-668
Number of pages5
JournalSoft Matter
Issue number3
StatePublished - 1 Jan 2016
Externally publishedYes

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics


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