Elasticity of Poissonian fiber networks

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© 2000 American Physical Society (APS). This is the accepted version of the following article: Åström, J. A. & Mäkinen, J. P. & Alava, Mikko J. & Timonen, J. 2000. Elasticity of Poissonian fiber networks. Physical Review E. Volume 61, Issue 5. 5550-5556. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.61.5550., which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.61.5550.

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Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2000

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Mcode

Degree programme

Language

en

Pages

5550-5556

Series

Physical Review E, Volume 61, Issue 5

Abstract

An effective-medium model is introduced for the elasticity of two-dimensional random fiber networks. These networks are commonly used as basic models of heterogeneous fibrous structures such as paper. Using the exact Poissonian statistics to describe the microscopic geometry of the network, the tensile modulus can be expressed by a single-parameter function. This parameter depends on the network density and fiber dimensions, which relate the macroscopic modulus to the relative importance of axial and bending deformations of the fibers. The model agrees well with simulation results and experimental findings. We also discuss the possible generalizations of the model.

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Keywords

effective-medium models, elastic properties, inhomogeneous materials

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Citation

Åström, J. A. & Mäkinen, J. P. & Alava, Mikko J. & Timonen, J. 2000. Elasticity of Poissonian fiber networks. Physical Review E. Volume 61, Issue 5. 5550-5556. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.61.5550.