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

Giulio Giuseppe Giusteri, Giulio G. Giusteri

Research output: Contribution to journalArticlepeer-review

8 Citations (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.
Original languageEnglish
Pages (from-to)371-380
Number of pages10
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume64
DOIs
Publication statusPublished - 2013

Keywords

  • Concentrated interaction – Second-gradient fluid – Edge force

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