  Considered typical processes of rod bending under strong longitudinal
compression. The dynamic equation of bending correspponds to a perturbation of
the two- dimensional Laplace equation. It is established that, for these
processes, expanding of do- mains of rapid increasing of bending begins in
small neighborhoods of singularity points of solutions of the limiting
Laplace's equation. The initial stages of these increases are described using
the Hardy integral.
