Skip to main content

Advertisement

SpringerLink
Log in

Effects of stress dependent electrochemical reaction on voltage hysteresis of lithium ion batteries

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Intercalation of lithium ions into the electrodes of lithium ion batteries is affected by the stress of active materials, leading to energy dissipation and stress dependent voltage hysteresis. A reaction-diffusion-stress coupling model is established to investigate the stress effects under galvanostatic and potentiostatic operations. It is found from simulations that the stress hysteresis contributes to the voltage hysteresis and leads to the energy dissipation. In addition, the stress induced voltage hysteresis is small in low rate galvanostatic operations but extraordinarily significant in high rate cases. In potentiostatic operations, the stresses and stress induced overpotentials increase to a peak value very soon after the operation commences and decays all the left time. Therefore, a combined charge-discharge operation is suggested, i.e., first the galvanostatic one and then the potentiostatic one. This combined operation can not only avoid the extreme stress during operations so as to prevent electrodes from failure but also reduce the voltage hysteresis and energy dissipation due to stress effects.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. NOOEDEN, R. V. The rechargeable revolution: a better battery. nature, 507, 26–28 (2014)

    Article  Google Scholar 

  2. GAO, F. L. and HONG, W. Phase-field model for the two-phase lithiation of silicon. Journal of the Mechanics and Physics of Solids, 94, 18–32 (2016)

    Article  MathSciNet  Google Scholar 

  3. ZHANG, M., ZHANG, T. F., MA, Y. F., and CHEN, Y. S. Latest development of nanostructured Si/C materials for lithium anode studies and applications. Energy Storage Materials, 4, 1–14 (2016)

    Article  Google Scholar 

  4. GE, M. Y., RONG, J. P., FANG, X., ZHANG, A. Y., LU, Y. H., and ZHOU, C. W. Scalable preparation of porous silicon nanoparticles and their application for lithium-ion battery anodes. Nano Research, 6, 174–181 (2013)

    Article  Google Scholar 

  5. LIU, Q., CUI, Z., ZOU, R. J., ZHANG, J. H., XU, K. B., and HU, J. Q. Surface coating constraint induced anisotropic swelling of silicon in Si-Void@SiOx nanowire anode for lithium-ion batteries. Small, 13, 1603754 (2017)

    Article  Google Scholar 

  6. KIM, S., CHOI, S. J., ZHAO, K. J., YANG, H., GOBBI, G., ZHANG, S. L., and LI, J. Electro-chemically driven mechanical energy harvesting. nature, 7, 10146 (2016)

    Google Scholar 

  7. SHELDONA, B. W., SONIA, S. K., XIAO, X. C., and QI, Y. Stress contributions to solution thermodynamics in Li-Si alloys. Electrochemical and Solid-State Letters, 15, A9–A11 (2012)

    Article  Google Scholar 

  8. YANG, H., LIANG, W. T., GUO, X., WANG, C. M., and ZHANG, S. L. Strong kinetics-stress coupling in lithiation of Si and Ge anodes. Extreme Mechanics Letters, 2, 1–6 (2015)

    Article  Google Scholar 

  9. LIU, X. H., FAN, F. F., YANG, H., ZHANG, S. L., HUANG, J. Y., and ZHU, T. Self-limiting lithiation in silicon nanowires. ACS Nano, 7, 1495–1503 (2013)

    Article  Google Scholar 

  10. MCDOWELL, M. T., LEE, S. W., WANG, C. M., NIX, W. D., and CUI, Y. Studying the kinetics of crystalline silicon nanoparticle lithiation with in situ transmission electron microscopy. Advanced Materials, 24, 6034–6041 (2012)

    Article  Google Scholar 

  11. PIPER, D. M., YERSAK, T. A., and LEE, S. H. Effect of compressive stress on electrochemical performance of silicon anodes. Journal of the Electrochemical Society, 160, A77–A81 (2013)

    Article  Google Scholar 

  12. SETHURAMAN, V. A., CHON, M. J., SHIMSHAK, M., SRINIVASAN, V., and GUDURU, P. R. In situ measurements of stress evolution in silicon thin films during electrochemical lithiation and delithiation. Journal of Power Sources, 195, 5062–5066 (2010)

    Article  Google Scholar 

  13. LU, B., SONG, Y. C., ZHANG, Q. L., PAN, J., CHENG, Y. T., and ZHANG, J. Q. Voltage hys-teresis of lithium ion batteries caused by mechanical stress. Physical Chemistry Chemical Physics, 18, 4721–4727 (2016)

    Article  Google Scholar 

  14. BOWER, A. F., GUDURU, P. R., and SETHURAMAN, V. A. A finite strain model of stress, diffusion, plastic flow, and electrochemical reactions in a lithium-ion half-cell. Journal of the Mechanics and Physics of Solids, 59, 804–828 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  15. CHENG, Y. T. and VERBRUGGE, M. W. Evolution of stress within a spherical insertion elec-trode particle under potentiostatic and galvanostatic operation. Journal of Power Sources, 190, 453–460 (2009)

    Article  Google Scholar 

  16. SONG, Y. C., SOH, A. K., and ZHANG, J. Q. On stress-induced voltage hysteresis in lithium ion batteries: impacts of material property, charge rate and particle size. Journal of Materials Science, 51, 9902–9911 (2016)

    Article  Google Scholar 

  17. SETHURAMAN, V. A., SRINIVASAN, V., and NEWMAN, J. Analysis of lithiation and delithi-ation kinetics in silicon. Journal of the Electrochemical Society, 160, A394–A403 (2013)

    Article  Google Scholar 

  18. HAFTBARADARAN, H., SONG, J., CURTIN, W. A., and GAO, H. J. Continuum and atomistic models of strongly coupled diffusion, stress, and solute concentration. Journal of Power Sources, 196, 361–370 (2011)

    Article  Google Scholar 

  19. CHENG, Y. T. and VERBRUGGE, M. W. Evolution of stress within a spherical insertion elec-trode particle under potentiostatic and galvanostatic operation. Journal of Power Sources, 190, 453–460 (2009)

    Article  Google Scholar 

  20. CHENG, Y. T. and VERBRUGGE, M. W. Effects of composition-dependent modulus, finite concentration and boundary constraint on Li-ion diffusion and stresses in a bilayer Cu-coated Si nano-anode. Journal of Power Sources, 204, 168–176 (2012)

    Article  Google Scholar 

  21. SHENOY, V. B., JOHARI, P., and QI, Y. Elastic softening of amorphous and crystalline Li-Si phases with increasing Li concentration: a first-principles study. Journal of Power Sources, 195, 6825–6830 (2010)

    Article  Google Scholar 

  22. GWAK, Y., MOON, J., and CHO, M. Multi-scale analysis of an electrochemical model including coupled diffusion, stress, and nonideal solution in a silicon thin film anode. Journal of Power Sources, 307, 856–865 (2016)

    Article  Google Scholar 

  23. DING, N., XU, J., YAO, Y. X., WEGNER, G., FANG, X., CHEN, C. H., and LIEBERWIRTH, I. Determination of the diffusion coefficient of lithium ions in nano-Si. Solid State Ionics, 180, 222–225 (2009)

    Article  Google Scholar 

  24. CHIUHUANG, C. K. and HUANG, H. Y. S. Critical lithiation for C-rate dependent mechanical stresses in LiFePO4. Journal of Solid State Electrochemistry, 19, 2245–2253 (2015)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Haoliang Li & Bo Lu

  2. Department of Mechanics, Shanghai University, Shanghai, 200444, China

    Yicheng Song & Junqian Zhang

  3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Yicheng Song, Bo Lu & Junqian Zhang

Authors
  1. Haoliang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yicheng Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bo Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Junqian Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yicheng Song.

Additional information

Citation: LI, H. L., SONG, Y. C., LU, B., and ZHANG, J. Q. Effects of stress dependent electro-chemical reaction on voltage hysteresis of lithium ion batteries. Applied Mathematics and Mechanics (English Edition), 39(10), 1453–1464 (2018) https://doi.org/10.1007/s10483-018-2373-8

Project supported by the National Natural Science Foundation of China (Nos. 11672170, 11332005, and 11702166) and the Natural Science Foundation of Shanghai (No. 16ZR1412200)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, H., Song, Y., Lu, B. et al. Effects of stress dependent electrochemical reaction on voltage hysteresis of lithium ion batteries. Appl. Math. Mech.-Engl. Ed. 39, 1453–1464 (2018). https://doi.org/10.1007/s10483-018-2373-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-018-2373-8

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation