The paper is structured as follows. Section 2 contains four subsections. The first describes the theory of
objective structures, while the second the theory of materially uniform bodies. The third subsection introduces
the micromorphic approach utilized in this work. In the final subsection, we highlight similarities as well as
differences between objective structures and materially uniform bodies. Section 3 consists of the study of
continuous distribution of dislocations and is divided in three subsections. The first one is a reminder of Noll’s
notion of inhomogeneity. The second describes the important work of Ariza and Ortiz [1] for modeling crystal
elasticity. The final subsection introduces the discrete notion of the material isomorphism and ultimately the
definition of continuous distribution of dislocations for objective structures. Section 4 concludes with some
remarks as well as some future directions.