Modeling crack growth during Li insertion in storage particles using a fracture phase field approach

Markus Klinsmann*, Daniele Rosato, Marc Kamlah, Robert M. McMeeking

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


Fracture of storage particles is considered to be one of the major reasons for capacity fade and increasing power loss in many commercial lithium ion batteries. The appearance of fracture and cracks in the particles is commonly ascribed to mechanical stress, which evolves from inhomogeneous swelling and shrinkage of the material when lithium is inserted or extracted. Here, a coupled model of lithium diffusion, mechanical stress and crack growth using a phase field method is applied to investigate how the formation of cracks depends on the size of the particle and the presence or absence of an initial crack, as well as the applied flux at the boundary. The model shows great versatility in that it is free of constraints with respect to particle geometry, dimension or crack path and allows simultaneous observation of the evolution of lithium diffusion and crack growth. In this work, we focus on the insertion process. In particular, we demonstrate the presence of intricate fracture phenomena, such as, crack branching or complete breakage of storage particles within just a single half cycle of lithium insertion, a phenomenon that was only speculated about before.

Original languageEnglish
Pages (from-to)313-344
Number of pages32
JournalJournal of the Mechanics and Physics of Solids
Early online date7 Apr 2016
Publication statusPublished - 1 Jul 2016

Bibliographical note

The results presented were partly achieved during a visit of four months in the group of Prof. Robert McMeeking at the University of California, Santa Barbara. This stay was financially supported by a scholarship of the Karlsruhe House of Young Scientists (KHYS).


  • Lithium ion battery
  • Phase field model for fracture
  • Stable crack growth
  • Storage particles
  • Unstable crack growth


Dive into the research topics of 'Modeling crack growth during Li insertion in storage particles using a fracture phase field approach'. Together they form a unique fingerprint.

Cite this