On Nye’s lattice curvature tensor

We revisit Nye’s lattice curvature tensor in the light of Cartan’s moving frames. definition is based on assumption that dislocated body stress-free, and therefore, it makes sense only for zero-stress (impotent) dislocation distributions. Motivated by works Bilby others, construction extended to arbitrary provide a material form triplet vectors, are obtained from covariant derivative frame along its integral curves. While density related torsion associated with Weitzenböck connection, contorsion tensor. also show under assumption, pullback via relaxation map. Moreover, can be used express Riemann manifold linearized approximation.