Based on the detailed ab initio calculations of electronic structure for hcp-zinc
and bcc-ferromagnetic iron, we made an attempt to study a scale of anomalies
emerging in the calculations of elastic properties of these crystals as functions
of pressure, and determine a relation between these anomalies and electronic
topological transitions. Our calculations give grounds to believe that an electronic
topological transition in itself is not a cause of significant anomalies in elastic
properties of crystals but is, probably, an indicator of rearrangement of the crystal
energy spectrum: an indicator which is not even always present. In some cases such
rearrangement can cause significant anomalies in elastic and other properties of the
crystal.