Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 59, Issue -, Pages 90-109Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2015.01.014
Keywords
Li-ion batteries; Computational homogenization; Electroneutrality; Electro-chemo-mechanical
Categories
Funding
- MARIE CURIE Intra-European Fellowships (IEF) LiSF - Mechanics of Energy Storage Materials: Swelling and Fracturing in Lithium ion Batteries electrodes during Charging/Discharging Cycles
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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