Worldlines and body points associated with an extensive property

Reuven Segev; Guy Rodnay

doi:10.1016/S0020-7462(01)00036-1

Worldlines and body points associated with an extensive property

Reuven Segev, Guy Rodnay

Department of Mechanical Engineering

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

4 Scopus citations

Abstract

Material structure of bodies that is usually assumed a-priory in continuum mechanics is constructed on the basis of a balance of a given extensive property on spacetime. Body points are identified with worldlines-the integral lines of the flux of the property. The geometric setting assumes that spacetime has only the structure of a differentiable manifold and no particular frame is assumed to be given.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/S0020-7462(01)00036-1
State	Published - 1 Jan 2003

Keywords

Balance laws
Cauchy's theorem
Continuum mechanics
Differential forms
Flux
Material structure
Worldlines

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/S0020-7462(01)00036-1

Cite this

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abstract = "Material structure of bodies that is usually assumed a-priory in continuum mechanics is constructed on the basis of a balance of a given extensive property on spacetime. Body points are identified with worldlines-the integral lines of the flux of the property. The geometric setting assumes that spacetime has only the structure of a differentiable manifold and no particular frame is assumed to be given.",

keywords = "Balance laws, Cauchy's theorem, Continuum mechanics, Differential forms, Flux, Material structure, Worldlines",

author = "Reuven Segev and Guy Rodnay",

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N2 - Material structure of bodies that is usually assumed a-priory in continuum mechanics is constructed on the basis of a balance of a given extensive property on spacetime. Body points are identified with worldlines-the integral lines of the flux of the property. The geometric setting assumes that spacetime has only the structure of a differentiable manifold and no particular frame is assumed to be given.

AB - Material structure of bodies that is usually assumed a-priory in continuum mechanics is constructed on the basis of a balance of a given extensive property on spacetime. Body points are identified with worldlines-the integral lines of the flux of the property. The geometric setting assumes that spacetime has only the structure of a differentiable manifold and no particular frame is assumed to be given.

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KW - Differential forms

KW - Flux

KW - Material structure

KW - Worldlines

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Worldlines and body points associated with an extensive property

Abstract

Keywords

ASJC Scopus subject areas

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