Abstract
A general structure for space-time that preserves the classical notion of absolute time, and to which we refer as Proto-Galilean space-time, is presented. In this setting, space-time is modeled as a general fiber bundle over the time axis. The motion of a particle is a section of the fiber bundle. A recent framework for continuum mechanics, where configurations are represented by sections of a fiber bundle over the body manifold, is used to formulate the dynamics of a particle and the dynamics of a continuous body in a Proto-Galilean space-time.
Original language | English |
---|---|
Pages (from-to) | 181-203 |
Number of pages | 23 |
Journal | Journal of Elasticity |
Volume | 155 |
Issue number | 1-5 |
DOIs | |
State | Published - 10 Oct 2022 |
Keywords
- 70A05
- 74A05
- 74A10
- Continuum mechanics
- Dynamics
- Fiber bundle
- Frame
- Observer
- Proto-Galilean
- Space-time
- Stress
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering