With these assumptions, we attempt to find a compromise between the physical significance of the model and the computational cost of the simulation. The simulations of the present paper run with 70 M 𝛥𝑡, requiring 8 to 10 weeks of computation on the MatriCS High-Performance Computing (HPC) system of Université de Picardie Jules Verne. This computational cost is therefore close to the achievable time limit for such a study. That said, we believe that the proposed modeling approach is novel and richer, compared with the current state of the art in the field, to provide constructive results towards a better understanding of the extrusion process for the studied battery electrode materials.