  Lithium-ion batteries (LIBs) of high energy density and light-weight design,
have found wide applications in electronic devices and systems. Degradation
mechanisms that caused by lithiation is a main challenging problem for LIBs
with high capacity electrodes like silicon (Si), which eventually can reduce
the lifetime of batteries. In this paper, a hybrid phase field model (PFM) is
proposed to study the fracture behavior of LIB electrodes. The model considers
the coupling effects between lithium (Li) -ion diffusion process, stress
evolution and crack propagation. Also, the dependency of Elastic properties on
the concentration magnitude of Li-ion is considered. A numerical implementation
based on a MATLAB finite element (FE) code is elaborated. Then, the proposed
hybrid PF approach is applied to a Nanowire (NW) Si electrode particle. It is
shown that the hybrid model shows less tendency to crack growth than the
isotropic model.
