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Journal of Elasticity

, Volume 110, Issue 1, pp 111–116 | Cite as

Spacetime Interpretation of Torsion in Prismatic Bodies

  • G. Domokos
  • G. W. Gibbons
Research Note

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.

Keywords

Torsion Prismatic body Sandpile analogy Minkowski spacetime 

Mathematics Subject Classification

74C05 83A05 

Notes

Acknowledgements

The first author was a Visiting Fellow Commoner at Trinity College, Cambridge during part of this collaboration. This research was supported by the Hungarian National Foundation (OTKA) Grant K104601. The authors thank Tamás Ther for his help with Fig. 1.

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Dept. Mechanics, Materials, and StructuresBudapest University of Technology and EconomicsBudapestHungary
  2. 2.D.A.M.T.P.Cambridge UniversityCambridgeUK

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