, Volume 51, Issue 12, pp 3081–3096 | Cite as

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

  • Rajlakshmi Purkayastha
  • Robert McMeeking
50th Anniversary of Meccanica


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.


Batteries Lithium-ion Intercalation Extraction Insertion Strain Stress 



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.


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.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Oxis Energy Ltd., E1 Culham Science CentreOxfordshireUK
  2. 2.Mechanical Engineering DepartmentUniversity of CaliforniaSanta BarbaraUSA
  3. 3.Materials DepartmentUniversity of CaliforniaSanta BarbaraUSA
  4. 4.School of EngineeringUniversity of Aberdeen, King’s CollegeAberdeenUK
  5. 5.INM-Leibniz Institute for New MaterialsSaarbrückenGermany

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