Stress-Diffusion Analysis of Electrode Particles with Three Different Shapes in Lithium-Ion Batteries

A mechano-electrochemical model is proposed to study diffusion-induced stresses (DISs) in the electrode particles with three different shapes. The governing equations of mechanical equilibrium and diffusion in spherical, cylindrical, and Cartesian coordinate systems are derived utilizing the finite deformation theory. The results of numerical simulations indicate that different shapes of particles significantly influence both the diffusion velocity and DISs. Within the same volume, the cube can save about 16% charging time compared to the sphere. The maximum value of radial stress in the cylinder is 70% smaller than that in the sphere. The hoop stress is largest in the cubic particle and smallest in the cylindrical particle.