A strengthened and generalized version of the standard Virtual Work Principle is shown to imply, in addition to bulk and boundary balances, a one-to-one correspondence between surface and edge hypertractions and hyperstress fields in second-gradient continua. When edge hypertractions are constitutively taken null, the hyperstress is shown to take the form it has for a relevant example of second-gradient fluid-like material, referred to as a Navier–Stokes— α fluid.

Hypertractions and hyperstresses convey the same mechanical information

VIANELLO, MAURIZIO STEFANO;
2010-01-01

Abstract

A strengthened and generalized version of the standard Virtual Work Principle is shown to imply, in addition to bulk and boundary balances, a one-to-one correspondence between surface and edge hypertractions and hyperstress fields in second-gradient continua. When edge hypertractions are constitutively taken null, the hyperstress is shown to take the form it has for a relevant example of second-gradient fluid-like material, referred to as a Navier–Stokes— α fluid.
2010
Second-gradient materials - Hyperstress - Edge traction
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/638119
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