Study on Viscoelastic Poisson's Ratio of Nonwovens

Type	Manufacturer	Material	Area density, g/m²	Thickness, mm	Width of package,mm	Web forming method	Bonding method
PP30	Jialianda Nonwovens Co., Ltd	Polypropylene	30	1.63	143	Spun-laid	Hot pressing
PLA30	Smartwin International Group Co., Ltd	Polylactice acid	30	1.11	1800	Carding web	Carding
PET30	Smartwin International Group Co., Ltd	Polyethylene terephthalate	30	0.95	1800	Spun-laid	Hot pressing
PA20	Smartwin International Group Co., Ltd	Polyamide	20	0.80	1800	Spun-laid	Hot pressing
PA30	Smartwin International Group Co., Ltd	Polyamide	30	1.08	1800	Spun-laid	Hot pressing
PA40	Smartwin International Group Co., Ltd	Polyamide	40	1.28	1800	Spun-laid	Hot pressing

Measurement of surface morphology of nonwovens

Photos of surface morphology of nonwovens, (a) PP30, (b) PLA30, (c) PET30, (d) PA30

Schematic diagram of creep and relax tests: (a) creep test, (b) relax test

Strain-time curve of creep test: (a) PA20, PA30 and PA40, (b)PP30, PLA30, and PET30

Table 2.

Prony series with order 6 expression of the equivalent transverse strain

Type	Regression equation
PP30	ε_x(t)=4.42628+1.09253e^{−t/32028.50978}+0.73885e^{−t/282.31417}+ 0.58798e^{−t/3771.29624}+1.60838e^{−t/57.29553}+ 0.52102e^{−t/1346.1015}+7.18362e^−t/7.14774
PLA30	ε_x(t)=−0.01837+0.00203e^{−t/690.82678}+0.00354e^−t/1.71985+ 0.00254e^{−t/3345.76762}+0.00813e^−t/1.76406+ 0.00076e^{−t/17688.93783}+0.00137e^{−t/159.68997}
PET30	ε_x(t)=−0.01317+0.00902e^−t/1.90676+0.00209e^{−t/29409.01145}+ 0.00004e^−t/2.15781+0.00001e^−t//^23847.32555+ 0.00069e^{−t/29.86732}+0.00133e^{−t/255.54712}
PA20	ε_x(t)=−0.04475+0.00433e^{−t/43199.94444}+9.88×10⁻¹⁸e^{−t/1118.18378}+ 0.01821e^{−t/1654.64907}+0.00861e^{−t/43199.93206}+ 0.00334e^−t/7.33281+0.01027e^−t/1.95681
PA30	ε_x(t)=−0.01967+0.00378e^{−t/802.57842}+2.29×10⁻¹³ e^{−t/15657.97923}+ 0.0024e^{−t/10.92507}+0.00566e^{−t/23940.20253}+ 0.00422e^{−t/13740.79532}+0.0036e^−t/1.19744
PA40	ε_x(t)=−0.00554+0.00184e^{−t/35871.37391}+4.91×10⁻¹²e^{−t/23381.26005}+ 0.00289e^−t/1.47535+0.00029e^{−t/12560.94798}+ 1.15×10⁻²¹e^{−t/29276.85456}+0.00052e^{−t/527.90410}

Stress-time curve of relax test,(a) PA20, PA30 and PA40, (b)PP30, PLA30 and PET30

Table 3.

Prony series with order 6 expression of the relax modulus

Type	Regression equation
PP30	E(t)=4.42628+1.09253e^{−t/32028.50978}+0.73885e^{−t/282.31417}+ 0.58798e^{−t/3771.29624}+1.60838e^{−t/57.29553}+ 0.52102e^{−t/1346.1015}+7.18362e^−t/7.14774
PLA30	E(t)=0.72456+4.52×10⁻¹⁴e^{−t/20545.52934}+1.24187e^{−t/2137.01999}+ 1.43×10⁻¹³e^{−t/36360.07692}+7.56×10⁻¹⁴e^{−t/9155.68766}+ 1.77333e^{−t/43199.70987}+9.20×10⁻¹³e^{−t/16839.05726}
PET30	E(t)=5.38462+1.64×10⁻¹⁶e^{−t/453.42766}+1.20874e^{−t/6652.87856}+ 1.22×10⁻¹³e^{−t/23242.29474}+1.70×10⁻⁸e^{−t/32347.22098}+ 4.75E⁻⁷e^{−t/1705.50865}+0.57320e^{−t/14404.62676}
PA20	E(t)=0.90989+0.89126e^{−t/12247.20516}+7.23×10⁻⁷e^{−t/33414.44565}+ 1.52×10⁻⁶e^{−t/8424.74793}+2.56×10⁻¹³e^{−t/93.12918}+ 2.93×10⁻⁸e^{−t/18919.63773}+0.01144e^{−t/15146.15837}
PA30	E(t)=0.31736+0.18224e^{−t/20190.21103}+0.48432e^{−t/2192.37282}+ 1.30×10⁻¹⁷e^{−t/34546.26469}+6.98×10⁻⁵e^{−t/24365.33458}+ 0.00039e^{−t/25031.94717}+0.12488e^{−t/17679.49483}
PA40	E(t)=2.49469+0.00083e^{−t/9403.58163}+1.69301e^{−t/2187.80999}+ 2.15×10⁻⁹e^{−t/22263.27476}+0.01963e^{−t/2349.39762}+ 1.20932e^{−t/34067.64849}+0.00011e^{−t/7157.69109}

Poisson's ratio-time curve: (a) PA20, PA30 and PA40, (b)PP30, PLA30 and PET30

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DOI: https://doi.org/10.2478/ftee-2024-0018 | Journal eISSN: 2300-7354 | Journal ISSN: 1230-3666

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Language: English

Page range: 51 - 56

Published on: May 27, 2024

Published by: Łukasiewicz Research Network-Łódź Institute of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

nonwovens,

Poisson's ratio,

viscoelasticity,

creep,

relax,

calculation

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

© 2024 Li Yong, Kou Yuhang, Xia Tengteng, Chu Heying, Li Lei, published by Łukasiewicz Research Network-Łódź Institute of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 32 (2024): Issue 2 (April 2024)

Study on Viscoelastic Poisson's Ratio of Nonwovens

Table 1.

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Table 2.

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Table 3.

Fig. 4

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