Hypertractions and hyperstresses convey the same mechanical information

Podio-Guidugli, Paolo; Vianello, Maurizio
March 2010
Continuum Mechanics & Thermodynamics;Mar2010, Vol. 22 Issue 3, p163
Academic Journal
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� a fluid.


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