Proto-Galilean Dynamics of a Particle and a Continuous Body

Reuven Segev; Marcelo Epstein

doi:10.1007/s10659-022-09929-w

Proto-Galilean Dynamics of a Particle and a Continuous Body

Reuven Segev, Marcelo Epstein

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

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
Journal	Journal of Elasticity
DOIs	https://doi.org/10.1007/s10659-022-09929-w
State	Accepted/In press - 1 Jan 2022

Keywords

Continuum mechanics
Dynamics
Fiber bundle
Frame
Observer
Proto-Galilean
Space-time
Stress

ASJC Scopus subject areas

Materials Science (all)
Mechanics of Materials
Mechanical Engineering

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10.1007/s10659-022-09929-w

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KW - Observer

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Proto-Galilean Dynamics of a Particle and a Continuous Body

Abstract

Keywords

ASJC Scopus subject areas

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