Mathematical formulations for elastic magneto-electrically coupled soft materials at finite strains: Time-independent processes

Recently, among other smart and multifunctional materials, magneto-electric soft materials are expected to open a new horizon with myriad of potential applications such as wireless energy harvesting, spintronics nonvolatile memories, random access memory, mention few. Magneto-electric coupling can be defined the ability material electrically polarize upon application magnetic field conversely, magnetize under an electric field. In contrast traditional multi-ferroic hard largely deformable where fields mechanical deformations intricately coupled at finite strians. this contribution, we will emphasis formulate generalised mathematical frameworks finitely deformed materials. After elaborating fundamental governing equations, some homogeneous non-homogeneous classical boundary value problems studied magneto-electrically loads.