Governing equations for a two-scale analysis of Li-ion battery cells

A. Salvadori, D. Grazioli, M.G.D. Geers

Research output: Contribution to journalArticleAcademicpeer-review

29 Citations (Scopus)
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This contribution describes a computational homogenization approach to model the multi-physics processes in Li-ion batteries in a multi-scale view. The adopted approach originates from the fundamental balance laws (of mass, momentum, charge) at both scales and the multi scale analysis roots itself on an energy-based weak formulation of the balance laws, which allows to extend the Hill-Mandel energy averaging theorem to the problem at hand. Electroneutrality assumption has been taken into account. Maxwell's equations are considered in a quasi-static sense in a rigorous setting. Time dependent scale transitions are formulated, as required by the length/time scales involved in Li-ion batteries processes, while scale separation in time is argued. Constitutive assumptions, computational procedures and simulations will be collected in a companion paper.

Original languageEnglish
Pages (from-to)90-109
Number of pages20
JournalInternational Journal of Solids and Structures
Publication statusPublished - 1 May 2015


  • Computational homogenization
  • Electro-chemo-mechanical
  • Electroneutrality
  • Li-ion batteries


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