Cinématique et transfert de contraintes dans des réseaux quasi plans aléatoires de fibres

Abstract

The mechanics of paper is considered from the standpoint of fibre networks. It is shown that the classical model of paper, based on a network of infinitely long fibres capable of carrying only axial forces [1], having the geometry of a Poisson line field, does not possess generic rigidity. This pathological behaviour can be removed by the introduction of rigid fibre-fibre bonds (justified by the presence of hydrogen bonding between cellulose fibres) and fibre flexural stiffness.