Clasical solids dynamics as 4D statics of elastic strings

Details Clasical solids dynamics as 4D statics of elastic strings Clasical solids dynamics as 4D statics of elastic strings

2001-08-02

arxiv.org/abs/gr-qc/0108007v1

Nuovo Cim. B116 (2001) 915-936

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex 2e, 23 pages, 4 figures, talk at Ulyanovsk school-seminar 2000. Accepted for printing in Nuovo Cimento B

Scientific paper

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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