An analytical model for lithiation-induced concurrent plastic flow and phase transformation in a cylindrical silicon electrode

Kai Zhang, Yong Li, Feng Wang, Bailin Zheng, Fuqian Yang, Dong Lu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The plastic flow in a silicon electrode during lithiation can alter the stress state in the silicon electrode and retard the fracture of the silicon electrode. In this work, we develop a rate-dependent model to investigate the plastic flow and phase transformation, which concurrently occur during the lithiation of a cylindrical silicon electrode. Using a power law for the plastic-flow potential and neglecting elastic deformation, we obtain analytical solutions of the stresses in the silicon electrode, which are dependent on the temporal evolution of the interface between lithiated phase and un-lithiated phase. A simplified diffusion model, which captures the temporal evolution of the interface, is proposed in the framework of the Cahn-Hilliard phase-field theory. The numerical results are in good accord with the results from the phase-field model with finite deformation. Under galvanostatic operation, the stresses are dependent on the lithiation rate, and the stresses on the surface of the silicon electrode are independent of initial radius and lithiation time. Under potentiostatic operation, the stresses in a silicon electrode of a smaller radius is larger than that in a silicon electrode of a larger radius. The magnitudes of the stresses on the surface decrease with the increase of both initial radius and the lithiation time.

Original languageEnglish
Pages (from-to)87-98
Number of pages12
JournalInternational Journal of Solids and Structures
Volume202
DOIs
StatePublished - Oct 1 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Ltd

Funding

K.Z. appreciates the support by the National Natural Science Foundation of China under grant number 11902222 , and Guangzhou Science, Technology and Innovation Commission project under grant number 201904010279 . B.Z. is grateful for the support by the National Natural Science Foundation of China under grant number 11672210 . Y.L. thanks the support by the National Natural Science Foundation of China under grant number 11902073.

FundersFunder number
National Natural Science Foundation of China (NSFC)11902222
Guangzhou Science, Technology and Innovation Commission201904010279, 11902073, 11672210

    Keywords

    • Chemo-mechanical coupling
    • Phase transformation
    • Silicon electrode
    • Viscoplasticity

    ASJC Scopus subject areas

    • Modeling and Simulation
    • General Materials Science
    • Condensed Matter Physics
    • Mechanics of Materials
    • Mechanical Engineering
    • Applied Mathematics

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