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Stochastic Thermal Properties of Fibrous Composites Reinforced with Long, Randomly Distributed Fibers Cover

Stochastic Thermal Properties of Fibrous Composites Reinforced with Long, Randomly Distributed Fibers

Fibres & Textiles in Eastern Europe
Volume 33 (2025): Issue 1 (May 2025)
By: Jan Turant  
Open Access
|Dec 2025

Figures & Tables

Fig. 1.

Schematic diagram of the virtual experimental setup
Schematic diagram of the virtual experimental setup

Fig. 2.

Schematic of the fiber displacement to a random position
Schematic of the fiber displacement to a random position

Fig. 3.

Example of random fiber distribution for ρ = 0.20
Example of random fiber distribution for ρ = 0.20

Fig. 4.

Example of random fiber distribution for ρ = 0.40
Example of random fiber distribution for ρ = 0.40

Fig. 5.

Example of random fiber distribution for ρ = 0.60
Example of random fiber distribution for ρ = 0.60

Fig. 6.

Histogram and gamma distribution for λf =10, ρ=0.3
Histogram and gamma distribution for λf =10, ρ=0.3

Fig. 7.

Histogram and gamma distribution for λf =10, ρ=0.6
Histogram and gamma distribution for λf =10, ρ=0.6

Fig. 8.

Histogram and gamma distribution for λf =100, ρ=0.3
Histogram and gamma distribution for λf =100, ρ=0.3

Fig. 9.

Histogram and gamma distribution for λf =100, ρ=0.6
Histogram and gamma distribution for λf =100, ρ=0.6

Fig. 10.

Modes as a function of the fiber volume fraction in the composite matrix
Modes as a function of the fiber volume fraction in the composite matrix

Fig. 11.

Fiber arrangement corresponding to the maximum thermal conductivity observed
Fiber arrangement corresponding to the maximum thermal conductivity observed

Fig. 12.

Fiber arrangement corresponding to the minimum thermal conductivity observed
Fiber arrangement corresponding to the minimum thermal conductivity observed

Extreme values of the effective thermal conductivity and their relative difference for λf =10 W/(m·K)

ρmin W/(m·K)max W/(m·K)RD
0.20.2740.2950.079
0.30.3300.3770.145
0.40.4030.4870.208
0.50.5080.6280.236
0.60.6660.8170.227

Gamma distribution parameters for λf =100 W/(m·K)

ραβσModeStdDev
0.220.08.88E-040.2690.2863.97E-03
0.320.01.81E-030.3200.3558.09E-03
0.420.03.43E-030.3860.4511.53E-02
0.520.04.41E-030.4940.5781.97E-02
0.620.07.02E-030.6410.7753.14E-02

Gamma distribution parameters for λf =10 W/(m·K)

ραβσModeStdDev
0.220.07.80E-040.2670.2823.49E-03
0.388.77.34E-040.2830.3476.91E-03
0.425.12.58E-030.3700.4321.29E-02
0.520.03.62E-030.4760.5451.62E-02
0.631.83.99E-030.5910.7142.25E-02

Extreme values of the effective thermal conductivity and their relative difference for λf =100 W/(m·K)

ρmin W/(m·K)max W/(m·K)RD
0.20.2770.3060.106
0.30.3360.3920.166
0.40.4150.5130.237
0.50.5380.6820.267
0.60.7030.9440.343
DOI: https://doi.org/10.2478/ftee-2025-0014 | Journal eISSN: 2300-7354 | Journal ISSN: 1230-3666
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Language: English
Page range: 109 - 115
Published on: Dec 31, 2025
Published by: Łukasiewicz Research Network, Institute of Biopolymers and Chemical Fibres
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
thermal properties,
stochastic parameters,
fibrous composites,
finite element method
Related subjects:
Business and economics,
Business management,
Business informatics,
Process management,
Industrial chemistry,
Cellulose, paper and textiles,
Polymer science and technology,
Materials sciences,
Biomaterials and natural materials

© 2025 Jan Turant, published by Łukasiewicz Research Network, Institute of Biopolymers and Chemical Fibres
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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