  A model is presented for predicting the open-circuit voltage (OCV) and
lithium distribution within lithium-ion anodes containing multiple materials,
coupling linear elasticity with a stress-dependent chemical potential. The
model is applied to a spherical radially-symmetric nano-particle with a silicon
core and a graphite shell, highlighting the large effect on lithium
distribution and OCV caused by the stress-coupling. Various performance
measures based on the expanded volume, the amount of lithium intercalated and
the maximum stress induced, are calculated for a silicon core with a graphite
shell to enable optimisation of the volume of the silicon core.
