In modern constructions, thin-layer coats are often used as protecting or strengthening elements. Deformations of such
constructions may cause significant stresses on the interface between the base and the coat because of the difference in their
physical mechanical properties, which leads to the destruction or detachment of the cover. The impact of static or shock loads
on the emergence and development of delamination in multilayer constructions has been studied fairly well, but much less
is known about destructions of this type under nonstationary (vibrational) loads. The interest in the latter is caused by the
fact that even small variable actions may cause the localization of oscillations in a neighborhood of inhomogeneities (such
as inclusions, defects, construction elements, etc.) [1] (and lead to the emergence and growth of defects, which strongly
affects the reliability and functionality of the whole construction. The possibility of the localization of oscillations near initial
delamination and the imp