Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (5): 659-670.doi: https://doi.org/10.1007/s10483-016-2079-8

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

Dawei LI1, Zongzan LI1, Yicheng SONG2,3, Junqian ZHANG2,3   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, China;
    3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China
  • Received:2015-05-07 Revised:2015-10-30 Online:2016-05-01 Published:2016-05-01
  • Contact: Yicheng SONG E-mail:ycsong@shu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 11332005 and 11172159) and the Innovation Program of Shanghai Municipal Education Commission (No. 13ZZ070)

Abstract:

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, stress, bending, lithium-ion battery, plastic yield

2010 MSC Number: 

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