Kinematics and stress transfer in quasi-planar random fiber networks

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

doi:10.1016/S1287-4620(00)88645-7

Kinematics and stress transfer in quasi-planar random fiber networks

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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1223-1229
Number of pages	7
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie
Volume	327
Issue number	12
DOIs	https://doi.org/10.1016/S1287-4620(00)88645-7
State	Published - Nov 1999
Externally published	Yes

Keywords

Fibre networks
Generic rigidity
Micromechanics
Random media

ASJC Scopus subject areas

General Chemistry
General Physics and Astronomy

Online availability

10.1016/S1287-4620(00)88645-7

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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.",

keywords = "Fibre networks, Generic rigidity, Micromechanics, Random media",

author = "Martin Ostoja-Starzewski and Quadrelli, {Marco B.} and Stahl, {Douglas C.}",

note = "Funding Information: Acknowledgements. Support of this research by IPST member companies and the National Science Foundation under grant CMS-9713764 is gratefully acknowledged.",

year = "1999",

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doi = "10.1016/S1287-4620(00)88645-7",

language = "English (US)",

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AU - Ostoja-Starzewski, Martin

AU - Quadrelli, Marco B.

AU - Stahl, Douglas C.

N1 - Funding Information: Acknowledgements. Support of this research by IPST member companies and the National Science Foundation under grant CMS-9713764 is gratefully acknowledged.

PY - 1999/11

Y1 - 1999/11

N2 - 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.

AB - 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.

KW - Fibre networks

KW - Generic rigidity

KW - Micromechanics

KW - Random media

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Kinematics and stress transfer in quasi-planar random fiber networks

Abstract

Keywords

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