Clasical solids dynamics as 4D statics of elastic strings
Abstract
Description
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.
Latex 2e, 23 pages, 4 figures, talk at Ulyanovsk school-seminar 2000. Accepted for printing in Nuovo Cimento B
Latex 2e, 23 pages, 4 figures, talk at Ulyanovsk school-seminar 2000. Accepted for printing in Nuovo Cimento B