F. Dellisola et P. Seppecher, THE RELATIONSHIP BETWEEN EDGE CONTACT FORCES, DOUBLE FORCES AND INTERSTITIAL WORKING ALLOWED BY THE PRINCIPLE OF VIRTUAL POWER, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 321(8), 1995, pp. 303-308
We consider continuous media in which contact edge forces are present.
introducing the notion of quasi-balanced contact force distribution,
we are able to prove the conjectures made in Noll (1990) concerning th
e representation of contact edge forces. We first generalize the Noll
theorem on Cauchy postulate. Then we adapt the famous Cauchy tetrahedr
on construction to find a representation theorem for stress slates. Mo
reover, we find the relationship between double forces (Germain, 1973
a, b), interstitial working (Dunn, 1985) and contact edge forces.