Coherent interfaces with junctions in continua with microstructure

In the present paper, the in¯uence of material substructures and of the inertia on the evolution of junctions among coherent discontinuity surfaces is discussed within the setting of multi®eld theories. An evolution equation for the junction is deduced in addition to the ones for the interfaces. The presence of substructures (or microstructures) within the body is evaluated through order parameters. Substructural interactions are considered and need to be balanced. The case in which such interactions can be decomposed into self-forces and microstresses is dealt with. Finally, the interfaces are endowed by peculiar structure: line stresses and microstresses are considered, as well as line substructural selfforces