Spacetime interpretation of Torsion in Prismatic Bodies

Details Spacetime interpretation of Torsion in Prismatic Bodies Spacetime interpretation of Torsion in Prismatic Bodies

2011-09-16

arxiv.org/abs/1109.3533v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, one figure. Substantially revised: version accepted for Journal of Elasticity

Scientific paper

A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl's linear soap-film approximation and N\'adai's sand-pile model . Geometrically Prandtl's soap film and N\'adai'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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