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

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

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17 Citations (Scopus)
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Abstract

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
Volume59
DOIs
Publication statusPublished - 1 May 2015

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Battery
electric batteries
Governing equation
Balance Laws
Cell
Maxwell equations
cells
Momentum
ions
Multiscale Analysis
Weak Formulation
Physics
Multiphysics
Energy
Maxwell's equations
Homogenization
Length Scale
Averaging
Time Scales
Charge

Keywords

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

Cite this

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Governing equations for a two-scale analysis of Li-ion battery cells. / Salvadori, A.; Grazioli, D.; Geers, M.G.D.

In: International Journal of Solids and Structures, Vol. 59, 01.05.2015, p. 90-109.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Geers, M.G.D.

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