Classical solids dynamics as 4D statics of elastic strings

The variational principle for a solid in classical mechanics is formulated in terms of a thin elastic 4D bar strain in the events space M-4 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.