Hypertractions and hyperstresses convey the same mechanical information

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 hyperstrestress fields in second-grade continua. When edge hypertractions are constitutively taken null, the hyperstress is shown to take the form it has for a Navier-Stokes$-\alpha$ fluid, a relevant example of second-grade fluid-like material.

19 pages, 3 figures

Cited by in corpus (5)

• Weak lower semicontinuity of integral functionals and applications
• A New CNT-Oriented Shell Theory
• Thermomechanics of damageable materials under diffusion:modeling and analysis
• Perfect plasticity with damage and healing at small strains, its modelling, analysis, and computer implementation
• Visco-elastodynamics at large strains Eulerian