Classical Physics

    

Nonlinear Continuum Mechanics with Defects Resembles Electrodynamics - A Comeback of the Aether?

Authors: Alexander Unzicker

This article discusses the dynamics of an incompressible, isotropic elastic continuum. Starting from the Lorentz-invariant motion of defects in elastic continua (Frank 1949), MacCullagh's aether theory (1839) of an incompressible elastic solid is reconsidered. Since MacCullagh's theory, based on linear elasticity, cannot describe charges, particular attention is given to a topological defect that causes large deformations and therefore requires a nonlinear description. While such a twist disclination can take the role of a charge,the deformation field of a large number of these defects produces a microstructure of deformation related to a Cosserat continuum (1909). On this microgeometric level, a complete set of quantities can be defined that satisfies equations equivalent to Maxwell's.

Comments: 14 Pages.

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Submission history

[v1] 2020-06-24 18:21:38

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