Proto-Galilean Dynamics of a Particle and a Continuous Body

Reuven Segev, Marcelo Epstein

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish
Pages (from-to)181-203
Number of pages23
JournalJournal of Elasticity
Volume155
Issue number1-5
DOIs
StatePublished - 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

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