Advertisement

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
  • 97 Downloads

Abstract

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

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.

References

  1. 1.
    Yang, F.Q.: Effect of local solid reaction on diffusion-induced stress. J. Appl. Phys. 107(10), 103516 (2010)CrossRefGoogle Scholar
  2. 2.
    Ji, L., et al.: Stress induced by diffusion, curvature, and reversible electrochemical reaction in bilayer lithium-ion battery electrode plates. Int. J. Mech. Sci. 134, 599–609 (2017)CrossRefGoogle Scholar
  3. 3.
    Liu, Z., et al.: Effect of electrochemical reaction on diffusion-induced stress in hollow spherical lithium-ion battery electrode. Ionics 23(3), 617–625 (2017)CrossRefGoogle Scholar
  4. 4.
    Li, Y., et al.: Effects of reversible chemical reaction on Li diffusion and stresses in spherical composition-gradient electrodes. J. Appl. Phys. 117(24), 245103 (2015)CrossRefGoogle Scholar
  5. 5.
    Yang, F.Q.: Interaction between diffusion and chemical stresses. Mater. Sci. Eng. Struct. Mater. Prop. Microstruct. Process. 409(1–2), 153–159 (2005)CrossRefGoogle Scholar
  6. 6.
    Yang, F.Q.: Diffusion-induced stress in inhomogeneous materials: concentration-dependent elastic modulus. Sci. China Phys. Mech. Astron. 55(6), 955–962 (2012)CrossRefGoogle Scholar
  7. 7.
    Zhang, X.C., Shyy, W., Sastry, A.M.: Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles. J. Electrochem. Soc. 154(10), A910–A916 (2007)CrossRefGoogle Scholar
  8. 8.
    Timoshenko, S.P., Goodier, J.N.: Theory of Elasticity. McGraw-Hill, New York (1970)zbMATHGoogle Scholar
  9. 9.
    Zang, J.L., Zhao, Y.P.: A diffusion and curvature dependent surface elastic model with application to stress analysis of anode in lithium ion battery. Int. J. Eng. Sci. 61, 157–170 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Suo, Y.H., Shen, S.P.: Coupling diffusion–reaction–mechanics model for oxidation. Acta Mech. 226, 3375–3386 (2015)MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    Bhandakkar, T.K., Gao, H.J.: 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(10), 1424–1434 (2010)CrossRefzbMATHGoogle Scholar
  12. 12.
    Li, J.C.M.: Chemical potential for diffusion in a stressed solid. Scr. Metall. 15(1), 21–28 (1981)CrossRefGoogle Scholar
  13. 13.
    Ottengraf, S.P.P., Van Den Oever, A.H.C.: Kinetics of organic compound removal from waste gases with a biological filter. Biotechnol. Bioeng. XXV, 3089–3102 (1983)CrossRefGoogle Scholar
  14. 14.
    Bucci, G., Swamy, T., Chiang, Y.M., Carter, W.C.: Modeling of internal mechanical failure of all-solid-state batteries during electrochemical cycling, and implications for battery design. J. Mater. Chem. A 5(36), 19422–19430 (2017)CrossRefGoogle Scholar

Copyright information

© 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

Personalised recommendations