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Clasical solids dynamics as 4D statics of elastic strings

2001/08/02 by Sergey S. Kokarev
Physics and Astronomy · #gr-qc

paper · pdf

published as Nuovo Cim. B116 (2001) 915-936 · Latex 2e, 23 pages, 4 figures, talk at Ulyanovsk school-seminar 2000. Accepted for printing in Nuovo Cimento B

arxiv created 2001/08/02 · arxiv updated 2009/11/30

Abstract

Variational principle for a solid in classical mechanics is formulated in terms of a thin elastic 4D bar strain in Minkowsky events space of special relativity. It is shown, that the sum of elastic 4-energies of weak twist and bending under some identifications takes the form of classical non-relativistic action for a solids dynamics. The necessary conditions on 4D bar parameters and elastic constants, providing validity of Newton mechanics, are found.

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