A Kinematics of Defects in Solid Crystals

Geometric characterization of continuously defective elastic crystals

“…In addition, it can be shown [9] (see also [10]) that the bundle π : G → U is isomorphic to a subbundle of the bundle of linear frames on U . To this end, given g ∈ G , consider a mapping ϕ g : U → U such that ϕ g ( p ) = ϕ ( g , p ) for every p ∈ U .…”