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Analytical modeling and simulation of porous electrodes: Li-ion distribution and diffusion-induced stress

Authors
  • Ji, Liang1
  • Guo, Zhansheng1, 2
  • 1 Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai, 200072, China , Shanghai (China)
  • 2 Shanghai University, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai, 200072, China , Shanghai (China)
Type
Published Article
Journal
Acta Mechanica Sinica
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Publication Date
Aug 01, 2017
Volume
34
Issue
1
Pages
187–198
Identifiers
DOI: 10.1007/s10409-017-0704-5
Source
Springer Nature
Keywords
License
Yellow

Abstract

A new model of porous electrodes based on the Gibbs free energy is developed, in which lithium-ion (Li-ion) diffusion, diffusion-induced stress (DIS), Butler–Volmer (BV) reaction kinetics, and size polydispersity of electrode particles are considered. The influence of BV reaction kinetics and concentration-dependent exchange current density (ECD) on concentration profile and DIS evolution are numerically investigated. BV reaction kinetics leads to a decrease in Li-ion concentration and DIS. In addition, concentration-dependent ECD results in a decrease in Li-ion concentration and an increase in DIS. Size polydispersity of electrode particles significantly affects the concentration profile and DIS. Optimal macroscopic state of charge (SOC) should consider the influence of the microscopic SOC values and mass fractions of differently sized particles.

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