Differentiable manifolds and the principle of virtual work in continuum mechanics

Marcelo Epstein; Reuven Segev

doi:10.1063/1.524516

Differentiable manifolds and the principle of virtual work in continuum mechanics

Marcelo Epstein, Reuven Segev

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

44 Scopus citations

Abstract

A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.

Original language	English
Pages (from-to)	1243-1245
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	21
Issue number	5
DOIs	https://doi.org/10.1063/1.524516
State	Published - 1 Jan 1979
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.524516

Cite this

@article{5cca8f8a8bd842b0be1e3efdcce8ad09,

title = "Differentiable manifolds and the principle of virtual work in continuum mechanics",

abstract = "A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.",

author = "Marcelo Epstein and Reuven Segev",

year = "1979",

month = jan,

day = "1",

doi = "10.1063/1.524516",

language = "English",

volume = "21",

pages = "1243--1245",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "5",

}

TY - JOUR

T1 - Differentiable manifolds and the principle of virtual work in continuum mechanics

AU - Epstein, Marcelo

AU - Segev, Reuven

PY - 1979/1/1

Y1 - 1979/1/1

N2 - A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.

AB - A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.

UR - http://www.scopus.com/inward/record.url?scp=36749114416&partnerID=8YFLogxK

U2 - 10.1063/1.524516

DO - 10.1063/1.524516

M3 - Article

AN - SCOPUS:36749114416

SN - 0022-2488

VL - 21

SP - 1243

EP - 1245

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 5

ER -

Differentiable manifolds and the principle of virtual work in continuum mechanics

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this