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.File in questo prodotto:
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Podio-Guidugli, Vianello - 2010 - Hypertractions and hyperstresses convey the same mechanical information.pdf
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