This course delves into essential aspects of materials science and engineering, focusing on the modeling of multi-field phenomena across various scales. The aim is to address materials technology in efficient energy applications, such as energy conversion and storage or smart devices. The exploration encompasses continuum thermodynamics and homogenization techniques for coupled responses, numerical approaches, and machine learning technologies for data analysis.

Applications will emphasize the coupled response of materials for the green economy. Topics include the study of hydrogen embrittlement in steels, the failure of solid electrolyte Li-ion batteries, and the multi-responsiveness of functionalized hydrogels. Additionally, an exemplary case study will be presented, illustrating the workflow from experiments to macroscopic characterizations for magneto-mechanical coupled materials in high-tech magnet applications.