Clasical solids dynamics as 4D statics of elastic strings
General Relativity and Quantum Cosmology
2007-05-23 v1
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.
Cite
@article{arxiv.gr-qc/0108007,
title = {Clasical solids dynamics as 4D statics of elastic strings},
author = {Sergey S. Kokarev},
journal= {arXiv preprint arXiv:gr-qc/0108007},
year = {2007}
}
Comments
Latex 2e, 23 pages, 4 figures, talk at Ulyanovsk school-seminar 2000. Accepted for printing in Nuovo Cimento B