Lithium-ion batteries, due to the growing shift towards renewable energy sources, are becoming particularly promising, offering one of the highest energy densities among their competitors. Anyway, one of the primary issues related to them lies in the damage incurred through electric cycling. The damage, caused by the repeated insertion and extraction of lithium ions within the active materials induces mechanical stresses, called diffusion-induced stresses (DIS), leading to crack propagation, material degradation and subsequent decline in performance. The objective of this thesis is to develop a detailed electrochemical-mechanical model for battery cell using COMSOL Multiphysics. The model aims to accurately estimate the stresses within the battery anode during the lithiation process.