Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 59, Issue 4, Pages 804-828Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2011.01.003
Keywords
Chemo-mechanical processes; Electro-mechanical processes; Elastic-viscoplastic material; Diffusion; Bulk
Funding
- United States National Science Foundation [DMR0520651]
- Rhode Island Science and Technology Advisory Council [RIRA 2010-26]
- General Motors Collaborative Research Laboratory on Computational Materials Research
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We formulate the continuum field equations and constitutive equations that govern deformation, stress, and electric current flow in a Li-ion half-cell. The model considers mass transport through the system, deformation and stress in the anode and cathode, electrostatic fields, as well as the electrochemical reactions at the electrode/electrolyte interfaces. It extends existing analyses by accounting for the effects of finite strains and plastic flow in the electrodes, and by exploring in detail the role of stress in the electrochemical reactions at the electrode-electrolyte interfaces. In particular, we find that that stress directly influences the rest potential at the interface, so that a term involving stress must be added to the Nernst equation if the stress in the solid is significant. The model is used to predict the variation of stress and electric potential in a model 1-D half-cell, consisting of a thin film of Si on a rigid substrate, a fluid electrolyte layer, and a solid Li cathode. The predicted cycles of stress and potential are shown to be in good agreement with experimental observations. (C) 2011 Elsevier Ltd. All rights reserved.
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