A defect-based viscoplastic model for large-deformed thin film electrode of lithium-ion battery

Yong Li, Jian Zhang, Kai Zhang, Bailin Zheng, Fuqian Yang

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


The interaction among solute atoms, local deformation velocity and viscoplasticity of host material plays a significant role in determining the stress evolution and concentration distribution in host material, especially in large-deformed electrode materials made from silicon and tin. In this work, a new viscoplastic model that describes diffusion-induced deformation is developed from the framework of the generation of defects due to the migration of solute atoms. The total flux in the diffusion equation is separated into two parts; one is the diffusion part due to the migration of solute atoms, and the other is the convection part due to the local deformation velocity in host material. Using the diffusion-convection equation, the theory of nonlinear continuum mechanics and the developed constitutive relationship, we analyze the Cauchy stress and viscoplastic deformation in a thin film Si-electrode on a "rigid" substrate numerically. The average Cauchy stress during lithiation and de-lithiation with the boundary fluxes of j 0 , 2j 0 and 0.33j 0 is calculated, and the numerical results reveal that the magnitude of compressive Cauchy stress in the thin film Si-electrode increases with the increase of the boundary flux. The numerical results are in good accord with the results from experimental study and the first principle simulation for the entire charging/discharging process.

Original languageEnglish
Pages (from-to)293-306
Number of pages14
JournalInternational Journal of Plasticity
StatePublished - Apr 2019

Bibliographical note

Funding Information:
This work was supported by the Fundamental Research Funds for the Central Universities, Southeast University [No. 2242018K41041 ]; Open Research Fund Program of Jiangsu Key Laboratory of Engineering Mechanics, Southeast University ; and National Natural Science Foundation of China [No. 11772091 ].

Publisher Copyright:
© 2018 Elsevier Ltd.


  • Defect
  • Large deformation
  • Local deformation velocity
  • Viscoplasticity

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering


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