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arXiv · 1109.3533

Spacetime interpretation of Torsion in Prismatic Bodies

G. Domokos·G. W. Gibbons
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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. Although the theory is non-linear, a general solution may be given in terms of a freely specifiable holomorphic function of a single complex variable.

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G. Domokos, G. W. Gibbons. 2012-03-17. Spacetime interpretation of Torsion in Prismatic Bodies. https://arxiv.org/abs/1109.3533

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