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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:   
Open Access
|Dec 2025
Figures & tables

Figures & Tables

Fig. 1.

Schematic diagram of the virtual experimental setup

Fig. 2.

Schematic of the fiber displacement to a random position

Fig. 3.

Example of random fiber distribution for ρ = 0.20

Fig. 4.

Example of random fiber distribution for ρ = 0.40

Fig. 5.

Example of random fiber distribution for ρ = 0.60

Fig. 6.

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

Fig. 7.

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

Fig. 8.

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

Fig. 9.

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

Table 1.

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
Table 2.

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
Fig. 10.

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

Table 3.

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
Table 4.

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
Fig. 11.

Fiber arrangement corresponding to the maximum thermal conductivity observed

Fig. 12.

Fiber arrangement corresponding to the minimum thermal conductivity observed

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-Łódź Institute of Technology
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-Łódź Institute of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 33 (2025): Issue 1 (May 2025)
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