Elasticity of Poissonian fiber networks

Jan A. Åström, J. P. Mäkinen, M. J. Alava, J. Timonen

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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.

Original languageEnglish
Pages (from-to)5550-5556
Number of pages7
JournalPhysical Review E
Volume61
Issue number5
DOIs
Publication statusPublished - May 2000
MoE publication typeA1 Journal article-refereed

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    Åström, J. A., Mäkinen, J. P., Alava, M. J., & Timonen, J. (2000). Elasticity of Poissonian fiber networks. Physical Review E, 61(5), 5550-5556. https://doi.org/10.1103/PhysRevE.61.5550