Spacetime interpretation of Torsion in Prismatic Bodies
General Relativity and Quantum Cosmology
2012-03-20 v2 Materials Science
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1109.3533,
title = {Spacetime interpretation of Torsion in Prismatic Bodies},
author = {G. Domokos and G. W. Gibbons},
journal= {arXiv preprint arXiv:1109.3533},
year = {2012}
}
Comments
7 pages, one figure. Substantially revised: version accepted for Journal of Elasticity