On the foundations of continuum physics including electromagnetic interactions and interfacial properties

This work concerns the development of a general nonlinear theory including discontinuities and interfacial properties in the framework of continuum physics. After recalling the basic ideas on which the different theories are founded, difficulties that occur at interfaces are placed in evidence and discussed. A solution is proposed through a new reformulation where the idea of invariance under different transformations plays a major role. Finally, some features relative to the construction of an approach including complex structures and particularly deformable ferroelectric and piezoelectric semiconductors are outlined