Acta Mechanica

, Volume 230, Issue 3, pp 993–1002 | Cite as

Transient analysis of diffusion-induced stress: effect of solid reaction

  • Yaohong SuoEmail author
  • Fuqian YangEmail author
Original Paper


The chemical reactions taking place in lithium-ion batteries can trap lithium and alter the distribution of lithium and the deformation of the electrode during electrochemical charging and discharging. In this work, we incorporate the strain generated by chemical reactions in the transient analysis of diffusion-induced stress and numerically solve the one-dimensional problem under galvanostatic and potentiostatic operations, respectively. The numerical results show that both the diffusion and local chemical reaction contribute to the expansion of the electrode. Under the potentiostatic operation, lithiation introduces a stress spike at the fixed end at the onset of the lithiation. The chemical reactions play a significant role in controlling the temporal evolution of lithium and the deformation of electrode, which needs to be taken into account in the analysis of structural durability of lithium-ion batteries.


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YS is grateful for the support by NSFC (Grants No. 11402054), Natural Science Foundation of Fujian Province (No. 2018J01663), Scientific Research Program funded by Fujian Provincial Education Commission (No. JT180026) and 2016 Open Projects of Key Laboratory for Strength and Vibration of Mechanical Structures (No. SV2016-KF-18). FY is grateful for the support by the NSF through the Grant CMMI-1634540, monitored by Dr. Khershed Cooper.


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© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical Engineering and AutomationFuzhou UniversityFuzhouChina
  2. 2.Department of Chemical and Materials EngineeringUniversity of KentuckyLexingtonUSA
  3. 3.State Key Lab for Strength and Vibration of Mechanical Structures, School of AerospaceXi’an Jiaotong UniversityXi’anChina

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