Journal of Materials Science

, Volume 51, Issue 21, pp 9902–9911 | Cite as

On stress-induced voltage hysteresis in lithium ion batteries: impacts of material property, charge rate and particle size

  • Y. C. Song
  • A. K. Soh
  • J. Q. Zhang
Original Paper


The effects of mechanical stresses on the voltage hysteresis of a lithium ion battery during charge–discharge cycles are theoretically investigated. A diffusion–reaction-stress coupling model has been established. It is found that a compressive stress in the electrode surface layer would impede lithium intercalation. Therefore, a higher overpotential is needed to overcome the intercalation barrier induced by stresses. The stress difference between charge and discharge made contribution to the voltage hysteresis which depends on charge rate, electrode particle radius, as well as a combined parameter that reflects the influence of material properties including elastic modulus, partial molar volume, capacity and diffusivity. Calculations show that the stress-induced overpotentials are several orders of magnitude higher in silicon electrodes compared to those in graphite and LiMn2O4 electrodes. Finally, a relaxation simulation shows that the stress variation from a thermodynamically non-equilibrium state to an equilibrium state leads to the relaxation of the electrode potential under an open-circuit operation. This serves as a proof that battery performance is affected by stresses.


Stress Effect LiFePO4 Partial Molar Volume Hydrostatic Stress Lithium Concentration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



Y.C. Song and J.Q. Zhang gratefully acknowledge the financial supports from the National Natural Science Foundation of China under Grant Nos. 11332005 and 11172159; the Shanghai Municipal Education Commission, China, under Grant No. 13ZZ070; and the Natural Science Foundation of Shanghai under Grant No. 16ZR1412200. A.K. Soh acknowledges the support of the FRGS Grant (Project no.: FRGS/2/2013/SG06/MUSM/01/1) provided by the Ministry of Higher Education (MOHE), Malaysia, and the Advanced Engineering Programme and School of Engineering, Monash University, Malaysia.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MechanicsShanghai UniversityShanghaiChina
  2. 2.Shanghai Key Laboratory of Mechanics in Energy EngineeringShanghai UniversityShanghaiChina
  3. 3.School of EngineeringMonash University Sunway CampusSubang JayaMalaysia

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