Vlasov’s beam paradigm and multivector Grassmann statics

Marcelo Epstein; Reuven Segev

doi:10.1177/1081286519839182

Vlasov’s beam paradigm and multivector Grassmann statics

Marcelo Epstein, Reuven Segev

Department of Mechanical Engineering

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

2 Scopus citations

Abstract

The theory of thin-walled beams proposed in 1940 by Vlasov is shown to emerge naturally within the framework of multivector statics. This circumstance is used as the basis for possible extensions of the theory to media with complex microstructures.

Original language	English
Pages (from-to)	3167-3179
Number of pages	13
Journal	Mathematics and Mechanics of Solids
Volume	24
Issue number	10
DOIs	https://doi.org/10.1177/1081286519839182
State	Published - 1 Oct 2019

Keywords

Thin-walled beams
microstructure
multivectors
screws
wrenches

ASJC Scopus subject areas

General Mathematics
General Materials Science
Mechanics of Materials

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10.1177/1081286519839182

Cite this

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title = "Vlasov{\textquoteright}s beam paradigm and multivector Grassmann statics",

abstract = "The theory of thin-walled beams proposed in 1940 by Vlasov is shown to emerge naturally within the framework of multivector statics. This circumstance is used as the basis for possible extensions of the theory to media with complex microstructures.",

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Vlasov’s beam paradigm and multivector Grassmann statics

Abstract

Keywords

ASJC Scopus subject areas

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