Understanding multi-physics phenomena is crucial for accurately modeling and predicting the behavior of complex systems in engineering. Sometimes, accounting for the coupling across the various scales of the system is also important. In this work, these needs have driven extensive exploration into multi-physics and multiscale modeling with the software COMSOL Multiphysics, especially focusing on the homogenization technique. It is a method used to predict macroscopic properties of heterogeneous materials by analyzing a representative volume element (RVE) that reflects microscale variations. A multiscale approach in a multi-physics domain is then applied to lithium-ion battery pack. Nowadays, lithium-ion batteries (LIBs) are the most widespread energy storage system, covering a large field of applications.