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arxiv: gr-qc/0108007 · v1 · submitted 2001-08-02 · 🌀 gr-qc

Clasical solids dynamics as 4D statics of elastic strings

classification 🌀 gr-qc
keywords elasticclassicaldynamicsmechanicssolidsactionbendingclasical
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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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