  In recent work, we developed a screening theory for describing the effect of
plastic events in amorphous solids on its emergent mechanics. The suggested
theory uncovered an anomalous mechanical response of amorphous solids where
plastic events collectively induce distributed dipoles that are analogous to
dislocations in crystalline solids. The theory was tested against various
models of amorphous solids in two-dimensions, including frictional and
friction-less granular media and numerical models of amorphous glass. Here we
extend our theory to screening in three-dimensional amorphous solids and
predict the existence of anomalous mechanics similar to the one observed in
two-dimensional systems. We conclude by interpreting the mechanical response as
the formation of non-topological distributed dipoles that have no analogue in
the crystalline defects literature. Having in mind that the onset of dipole
screening is reminiscent of Kosterlitz-Thouless and Hexatic transitions, the
finding of dipole screening in three-dimensions is particularly novel.
