Kinematics and stress transfer in quasi-planar random fiber networks

Martin Ostoja-Starzewski, Marco B. Quadrelli, Douglas C. Stahl

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1223-1229
Number of pages7
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie
Issue number12
StatePublished - Nov 1999
Externally publishedYes


  • Fibre networks
  • Generic rigidity
  • Micromechanics
  • Random media

ASJC Scopus subject areas

  • Chemistry(all)
  • Physics and Astronomy(all)

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