Edge-force densities and second-order powers

Marco Degiovanni; Alfredo Marzocchi; Alessandro Musesti

doi:10.1007/s10231-004-0129-1

Edge-force densities and second-order powers

Marco Degiovanni^*
, Alfredo Marzocchi
, Alessandro Musesti

^*Corresponding author

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

19 Citations (Scopus)

Abstract

By means of balanced virtual powers, it is developed an axiomatic approach, in the spirit of Noll, to second-gradient continua. The measure-theoretical formulation allows a considerable simplification, since the existence of an edge stress density is regarded as a special case of a surface stress which is a singular measure with respect to the area. In order to prove our results, we introduce a particular class of subbodies, namely the sets with curvature measure.

Original language	English
Pages (from-to)	81-103
Number of pages	23
Journal	Annali di Matematica Pura ed Applicata
Volume	185
Issue number	1
DOIs	https://doi.org/10.1007/s10231-004-0129-1
Publication status	Published - 2006

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Calcolo delle variazioni
Calculus of variations
Continuum mechanics
Meccanica dei continui

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10.1007/s10231-004-0129-1

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AU - Marzocchi, Alfredo

AU - Musesti, Alessandro

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KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Continuum mechanics

KW - Meccanica dei continui

KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Continuum mechanics

KW - Meccanica dei continui

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Edge-force densities and second-order powers

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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