Spacetime interpretation of torsion in prismatic bodies

G. Domokos, G. W. Gibbons

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl's linear soap-film approximation and Nádai's sand-pile model. Geometrically Prandtl's soap film and Nádai's wavefront are unified into a single smooth surface of constant mean curvature in three-dimensional Minkowski spacetime.

Original languageEnglish
Pages (from-to)111-116
Number of pages6
JournalJournal of Elasticity
Volume110
Issue number1
DOIs
Publication statusPublished - Jan 1 2013

Keywords

  • Minkowski spacetime
  • Prismatic body
  • Sandpile analogy
  • Torsion

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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