Published August 2001
| Version v1
Journal article
Classical solids dynamics as 4D statistics of elastic strings
Creators
- 1. Yaroslvl State Pedagogical University, Dept. of Theoretical Physics, Yaroslavl (Russian Federation)
Description
The variational principle for a solid in classical mechanics is formulated in terms of a thin elastic 4D bar strain in the events space M4 of special relativity. It is shown that the sum of elastic 4-energies of weak twist and ending 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
Additional details
Publishing Information
- Journal Title
- Nuovo Cimento. B
- Journal Volume
- 116BS12
- Journal Issue
- 8
- Journal Page Range
- p. 915-935
- ISSN
- 0369-3554
- CODEN
- NCIBAW
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- Italy
- INIS RN
- 33020384
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- HAMILTONIANS; LAGRANGIAN FUNCTION; MEMBRANES; RELATIVITY THEORY; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; FIELD THEORIES; FUNCTIONS; GENERAL RELATIVITY THEORY; MATHEMATICAL OPERATORS; QUANTUM OPERATORS