Skip to main content
SpringerLink
Log in

Stress due to the intercalation of lithium in cubic-shaped particles: a parameter study

  • 50th Anniversary of Meccanica
  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

Recent research into lithium ion battery storage particles has seen the development of many models to predict lithiation stresses generated during operation, and their effects on performance. Due to computational considerations most of the particles studied have idealized geometry with smooth surfaces, such as spheres. In reality, storage particles used in battery electrodes are acicular and have sharp edges and corners. In order to study the effect of these edges and corners on the generation of lithiation stress, we perform a parameter study on the development of lithiation strain and the resulting stress in cubic-shaped particles. We use a previously developed coupled stress-diffusion model, as well as three non-dimensional parameters, to quantify the stress response of cubic-shaped particles as a function of their material properties. Our results show that a change in material properties can lead to differences in both the value of maximum stress as well as its location in the particle. Both lithium insertion into and extraction from the particle are considered.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. USABC goals for advanced batteries. http://www.uscar.org/guest/article_view.php?articles_id=85

  2. Huggins RA (2008) Advanced batteries. Materials science aspects. Springer, Berlin

    Google Scholar 

  3. Christensen J, Newman J (2006) A mathematical model of stress generation and fracture in lithium manganese oxide. J Electrochem Soc 153:A1019–A1030

    Article  Google Scholar 

  4. Vetter J, Novak P, Wagner MR, Veit C, Moeller K-C, Besenhard JO, Winter M, Wohlfahrt-Mehrens M, Vogler C, Hammouche A (2005) Ageing mechanisms in lithium-ion batteries. J Power Sour 147:269–281

    Article  Google Scholar 

  5. Moon H-S, Lee W, Reucroft PJ, Park J-W (2003) Effect of film stress on electrochemical properties of lithium manganese oxide thin films. J Power Sour 119–121:710–712

    Article  Google Scholar 

  6. Wang D, Wu X, Wang Z, Chen L (2005) Cracking causing cyclic instability of LiFePO4 cathode material. J Power Sour 140:125–128

    Article  Google Scholar 

  7. Christensen J, Newman J (2006) Stress generation and fracture in lithium insertion materials. J Solid State Electrochem 10:293–319

    Article  Google Scholar 

  8. Zhang X, Shyy W, Sastry AM (2007) Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles. J Electrochem Soc 154:A910–A916

    Article  Google Scholar 

  9. Park J, Lu W, Sastry AM (2011) Numerical simulation of stress evolution in lithium manganese dioxide particles due to coupled phase transition and intercalation. J Electrochem Soc 158:A201–A206

    Article  Google Scholar 

  10. Cheng Y-T, Verbrugge MW (2010) Diffusion-induced stress, interfacial charge transfer, and criteria for avoiding crack initiation of electrode particles. J Electrochem Soc 157:A508–A516

    Article  Google Scholar 

  11. Cheng Y-T, Verbrugge M (2009) Evolution of stress within a spherical insertion electrode particle under potentiostatic and galvanostatic operation. J Power Sour 190:453–460

    Article  Google Scholar 

  12. Bohn E, Eckl T, Kamlah M, McMeeking RM (2013) A model for lithium diffusion and stress generation in an intercalation storage particle with phase change. J Electrochem Soc 160:A1638–A1652

    Article  Google Scholar 

  13. Purkayastha R, McMeeking RM (2012) A linearized model for lithium ion batteries and maps for their performance and failure. J Appl Mech 79(031021):1–16

    Google Scholar 

  14. Purkayastha R, McMeeking RM (2013) A parameter study of intercalation of lithium into storage particles in a lithium-ion battery. Comput Mater Sci 80:2–14

    Article  Google Scholar 

  15. Aifantis KE, Dempsey JP (2005) Stable crack growth in nanostructured Li-batteries. J Power Sour 143:203–211

    Article  Google Scholar 

  16. Zhao K, Pharr M, Vlassak JJ, Suo Z (2010) Fracture of electrodes in lithium-ion batteries caused by fast charging. J Appl Phys 108(073517):1–5

    Google Scholar 

  17. Cheng YT, Verbrugge MW (2010) Application of Hasselman’s crack propagation model to insertion electrodes. Electrochem Solid State Lett 13:A128–A131

    Article  Google Scholar 

  18. Woodford WH, Chiang YM, Carter WC (2010) ‘Electrochemical shock’ of intercalation electrodes—a fracture mechanics analysis. J Electrochem Soc 157:A1052–A1059

    Article  Google Scholar 

  19. Bhandakkar TK, Gao H (2010) Cohesive modeling of crack nucleation under diffusion induced stresses in a thin strip: implications on the critical size for flaw tolerant battery electrodes. Int J Solids Struct 47:1424–1434

    Article  MATH  Google Scholar 

  20. Hu Y, Zhao X, Suo Z (2010) Averting cracks caused by insertion reaction in lithium-ion batteries. J Mater Res 25:1007–1010

    Article  ADS  Google Scholar 

  21. Bhandakkar TK, Gao H (2011) Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses. Int J Solids Struc 48:2304–2309

    Article  Google Scholar 

  22. Klinsmann M, Rosato D, Kamlah M, McMeeking RM (2016) Modeling crack growth during Li extraction in storage particles using a fracture phase field approach. J Electrochem Soc 163:A102–A118

    Article  Google Scholar 

  23. Klinsmann M, Rosato D, Kamlah M, McMeeking RM (2016) Modeling crack growth during Li insertion in the storage particles using a fracture phase field approach. J Mech Phy Solids 92:313–344

    Article  ADS  Google Scholar 

  24. Klinsmann M, Rosato D, Kamlah M, McMeeking RM (2016) Modeling crack growth during Li extraction and insertion during the second half cycle. J Power Sour 331:32–42

    Article  Google Scholar 

  25. Kim J-S, Kim KS, Cho W, Shin WH, Kanno R, Choi JW (2012) A truncated manganese spinel cathode for excellent power and lifetime in lithium-ion batteries. Nano Lett 12:6358–6365

    Article  ADS  Google Scholar 

  26. Comsol Multiphysics User’s Guide, Version 4.2a, October 2011

Download references

Acknowledgments

The research in this paper was supported by a contract with the Robert Bosch Corporation and by a grant from the University of California Discovery Program.

Funding

This study was funded by the Robert Bosch Corporation and by the University of California Discovery Program. Conflict of Interest: RMM has received research contracts from the Robert Bosch Corporation through the University of California. RMM is a Consultant to Robert Bosch GmbH. For employment affiliations of both authors see title page of article.

Author information

Authors and Affiliations

  1. Oxis Energy Ltd., E1 Culham Science Centre, Abingdon, Oxfordshire, OX14 3DB, UK

    Rajlakshmi Purkayastha

  2. Mechanical Engineering Department, University of California, Santa Barbara, CA, 93106, USA

    Robert McMeeking

  3. Materials Department, University of California, Santa Barbara, CA, 93106, USA

    Robert McMeeking

  4. School of Engineering, University of Aberdeen, King’s College, Aberdeen, AB24 3UE, UK

    Robert McMeeking

  5. INM-Leibniz Institute for New Materials, Campus D2 2, 66123, Saarbrücken, Germany

    Robert McMeeking

Authors
  1. Rajlakshmi Purkayastha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert McMeeking
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Robert McMeeking.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Purkayastha, R., McMeeking, R. Stress due to the intercalation of lithium in cubic-shaped particles: a parameter study. Meccanica 51, 3081–3096 (2016). https://doi.org/10.1007/s11012-016-0540-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-016-0540-x

Keywords

Search

Navigation