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Clasical solids dynamics as 4D statics of elastic strings

Sergey S. Kokarev
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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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Sergey S. Kokarev. 2001-08-02. Clasical solids dynamics as 4D statics of elastic strings. https://arxiv.org/abs/gr-qc/0108007

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