A correction of an inconsistency in my paper "Cauchy's theorem on manifolds"

R. Segev

doi:10.1023/A:1013085312562

A correction of an inconsistency in my paper "Cauchy's theorem on manifolds"

R. Segev

Department of Mechanical Engineering

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

7 Scopus citations

Abstract

The Cauchy postulates are required for the formulation and proof of Cauchy's theorem for the existence of stress. The generalized postulates and theorem in the geometric setting of differentiable manifolds was considered in a previous paper. This note presents an inconsistency in one of the proposed postulates, the boundedness postulate, and corrects it by specifying a weaker requirement.

Original language	English
Pages (from-to)	55-59
Number of pages	5
Journal	Journal of Elasticity
Volume	63
Issue number	1
DOIs	https://doi.org/10.1023/A:1013085312562
State	Published - 1 Apr 2001

Keywords

Balance laws
Cauchy's theorem
Continuum mechanics
Differential forms
Forces
Manifolds
Stresses

ASJC Scopus subject areas

Materials Science (all)
Mechanics of Materials
Mechanical Engineering

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10.1023/A:1013085312562

Cite this

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KW - Differential forms

KW - Forces

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A correction of an inconsistency in my paper "Cauchy's theorem on manifolds"

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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