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Volume 16
Issue 3
10.3390/en16031424
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Article

Modulus Estimation of Composites with High Porosity, High Particle Volume Fraction, and Particle Eigenstrain: Application to the LIB Active Layer with a Bridged-Particle Mesostructure

by
Kaituo Song
1,2,3,
Bo Lu
1,2,3,*,
Yaolong He
1,2,3,*,
Yicheng Song
1,2,3 and
Junqian Zhang
1,2,3
1
Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
2
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200444, China
3
Shanghai Frontier Science Center of Mechanoinformatics, Shanghai University, Shanghai 200444, China
*
Authors to whom correspondence should be addressed.
Energies 2023, 16(3), 1424; https://doi.org/10.3390/en16031424
Submission received: 23 December 2022 / Revised: 20 January 2023 / Accepted: 23 January 2023 / Published: 1 February 2023
(This article belongs to the Special Issue Electro-Chemo-Mechanical Characterization and Modelling of Advanced Materials)
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Abstract

Due to the complex mesostructure and components of composite active layers in lithium-ion battery (LIB) electrodes, coupled with the concentration-dependent material properties and eigenstrains, efficiently estimating the effective modulus of the active layers remains a great challenge. In this work, the classic Mori–Tanaka method is found to be unable to estimate the modulus of the active layer. By realizing the importance of the mesostructure feature, a rod-rod model is proposed. The resulting modulus is expressed analytically. It is shown that the rod-rod model can accurately estimate the modulus evolution of the active layer if the material properties of the components and the evolution of volume fractions are known in advance. Moreover, a simplified rod-rod model is also developed to reduce the complexity of the proposed method. By knowing the volume fractions at two arbitrary states of charge and subsequently determining two constants, the simplified model can estimate the modulus efficiently. Considering both its accuracy and its simplicity, the simplified rod-rod model is the most suitable for the estimation. Thus, the methods developed in this work provide a new perspective for analyzing the material properties of composite active layers in LIB electrodes.
Keywords: modulus estimation; active layer; composite electrode; analytical expression; lithium-ion battery modulus estimation; active layer; composite electrode; analytical expression; lithium-ion battery

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MDPI and ACS Style

Song, K.; Lu, B.; He, Y.; Song, Y.; Zhang, J. Modulus Estimation of Composites with High Porosity, High Particle Volume Fraction, and Particle Eigenstrain: Application to the LIB Active Layer with a Bridged-Particle Mesostructure. Energies 2023, 16, 1424. https://doi.org/10.3390/en16031424

AMA Style

Song K, Lu B, He Y, Song Y, Zhang J. Modulus Estimation of Composites with High Porosity, High Particle Volume Fraction, and Particle Eigenstrain: Application to the LIB Active Layer with a Bridged-Particle Mesostructure. Energies. 2023; 16(3):1424. https://doi.org/10.3390/en16031424

Chicago/Turabian Style

Song, Kaituo, Bo Lu, Yaolong He, Yicheng Song, and Junqian Zhang. 2023. "Modulus Estimation of Composites with High Porosity, High Particle Volume Fraction, and Particle Eigenstrain: Application to the LIB Active Layer with a Bridged-Particle Mesostructure" Energies 16, no. 3: 1424. https://doi.org/10.3390/en16031424

APA Style

Song, K., Lu, B., He, Y., Song, Y., & Zhang, J. (2023). Modulus Estimation of Composites with High Porosity, High Particle Volume Fraction, and Particle Eigenstrain: Application to the LIB Active Layer with a Bridged-Particle Mesostructure. Energies, 16(3), 1424. https://doi.org/10.3390/en16031424

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