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