Tuesday, March 20, 2012

1109.3533 (G. Domokos et al.)

Spacetime interpretation of Torsion in Prismatic Bodies    [PDF]

G. Domokos, G. W. Gibbons
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.
View original: http://arxiv.org/abs/1109.3533

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