Elasticity of Poissonian fiber networks

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Elasticity of Poissonian fiber networks. / Åström, Jan A.; Mäkinen, J. P.; Alava, M. J.; Timonen, J.

In: Physical Review E, Vol. 61, No. 5, 05.2000, p. 5550-5556.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Åström, JA, Mäkinen, JP, Alava, MJ & Timonen, J 2000, 'Elasticity of Poissonian fiber networks' Physical Review E, vol. 61, no. 5, pp. 5550-5556. https://doi.org/10.1103/PhysRevE.61.5550

APA

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

Vancouver

Author

Åström, Jan A. ; Mäkinen, J. P. ; Alava, M. J. ; Timonen, J. / Elasticity of Poissonian fiber networks. In: Physical Review E. 2000 ; Vol. 61, No. 5. pp. 5550-5556.

Bibtex - Download

@article{fe988d0d41754d93b4488fef81a5de66,
title = "Elasticity of Poissonian fiber networks",
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.",
author = "{\AA}str{\"o}m, {Jan A.} and M{\"a}kinen, {J. P.} and Alava, {M. J.} and J. Timonen",
year = "2000",
month = "5",
doi = "10.1103/PhysRevE.61.5550",
language = "English",
volume = "61",
pages = "5550--5556",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

RIS - Download

TY - JOUR

T1 - Elasticity of Poissonian fiber networks

AU - Åström, Jan A.

AU - Mäkinen, J. P.

AU - Alava, M. J.

AU - Timonen, J.

PY - 2000/5

Y1 - 2000/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0042837675&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.61.5550

DO - 10.1103/PhysRevE.61.5550

M3 - Article

VL - 61

SP - 5550

EP - 5556

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

ER -

ID: 14566805