The theoretical model serving to explain and describe the phenomenon o
f the electron fracture mode (EFM) discovered experimentally nearly 20
years ago is advanced. EFM is characterized by the. brittle cleavage
of common plastic crystals proceeding with supersonic velocities indep
endently of initial cracks when subjected to high-intensity electron b
eams. Using the invariant GAMMA integral of an electromagnetic deforma
ble medium, it is proven that two electrons moving faster than the pha
se speed of light attract one another, as distinct from the common Cou
lomb's law. Self-packing of such relativistic electron beams is studie
d using a periodic chain model. It is suggested that during irradiatio
n of a solid by a high-intensity electron beam, some electron clusters
are formed, which act as wedges cutting the crystalline specimen. The
dynamic problem of supersonic cutting by a thin wedge is studied, and
the drag is calculated. The length of the resulting crack is computed
. The theoretical results are confirmed by available experimental data
.