  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.
