The multiple nature of concentrated interactions in second-gradient dissipative liquids

Giulio Giuseppe Giusteri, Giulio G. Giusteri

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

8 Citazioni (Scopus)

Abstract

It is well known that second-gradient continuum mechanical theories allow for the appearance of concentrated stresses along the edges of piecewise smooth material surfaces, but this is not the sole example of concentrated interaction. Two additional kinds of concentrated interaction are shown to take place in some second-gradient incompressible dissipative fluids: the adherence to one-dimensional immersed bodies and the capability of sustaining concentrated external body forces. These three phenomena turn out to be distinct and independent. This feature is explicitly discussed in two benchmark problems, and the different mathematical origins of each concentrated interaction are explained.
Lingua originaleEnglish
pagine (da-a)371-380
Numero di pagine10
RivistaZeitschrift fur Angewandte Mathematik und Physik
Volume64
DOI
Stato di pubblicazionePubblicato - 2013

Keywords

  • Concentrated interaction – Second-gradient fluid – Edge force

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