Applied Mathematics and Mechanics

, Volume 37, Issue 5, pp 659–670 | Cite as

Analysis of diffusion induced elastoplastic bending of bilayer lithium-ion battery electrodes

  • Dawei Li
  • Zongzan Li
  • Yicheng SongEmail author
  • Junqian Zhang


Bilayer electrode, composed of a current collector layer and an active material layer, has great potential in applications of in-situ electrochemical experiments due to the bending upon lithiation. This paper establishes an elastoplastic theory for the lithiation induced deformation of bilayer electrode with consideration of the plastic yield of current collector. It is found that the plastic yield of current collector reduces the restriction of current collector to an active layer, and therefore, enhances in-plane stretching while lowers down the rate of electrode bending. Key parameters that influence the elastoplastic deformation are identified. It is found that the smaller thickness ratio and lower elastic modulus ratio of current collector to an active layer would lead to an earlier plastic yield of the current collector, the larger in-plane strain, and the smaller bending curvature, due to balance between the current collector and the active layer. The smaller yield stress and plastic modulus of current collector have similar impacts on the electrode deformation.

Key words

bilayer electrode lithium-ion battery plastic yield bending stress 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Dawei Li
    • 1
  • Zongzan Li
    • 1
  • Yicheng Song
    • 2
    • 3
    Email author
  • Junqian Zhang
    • 2
    • 3
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiChina
  2. 2.Department of Mechanics, College of SciencesShanghai UniversityShanghaiChina
  3. 3.Shanghai Key Laboratory of Mechanics in Energy EngineeringShanghaiChina

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