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information about the processes of restructuring of the domain structure during the

ferromagnetic magnetization and to diagnose the state of hydrogen degradation of mate-

rials that contacts for a long period of time with the hydrogen-containing environment.

It has been found out that the hydrogen in the structure of the material leads to

increasing in both the energy of the MAE signals and the energy of their dominant

frequency bands determined before the hydrogenating of the ferromagnetic.

The practical significance of the obtained results is that the formulated mathe-

matical models and methods for solving the dynamic problems of the elasticity theory

for a three-layer structure using the method of boundary integral equations are funda-

mental. They can be effectively used for both the further development of theoretical

foundations of the AE method for multilayer structures, and for practical application for

establishing the fracture features in such composites during the diagnosing of industrial

products and structural elements.

Created on the basis of new energy criterion methods of AE-diagnostics of objects

under the test ensure the correctness and efficiency of diagnostic information processing

in real time that contributes to increasing the effectiveness of TD.

In practice, the results of the dissertation work were used during the AE-

diagnostics of the equipment of the petrol stations “Skole”, “Brody” of the branch

“Main pipelines “Druzhba” PJSC “Ukrtransnafta”, the transition of the pipeline Dolyna-

Uzhhorod-Goskordon-II branch of “PRIKARPATTRANSGAZ, Upravlinnnya

Mahistral’nykh Hazoprovodiv”.

The received scientific results are included in the standard of organization of

Ukraine (SOU 49.5-31570412-027:2015) in the form of a criterion of identification of

fracture types and classification of danger of defects.
The results of studies of dental polymers and prosthetic structures are implemented

at the Department of Orthopedic Dentistry and in the dental medical center of Danylo
Halytsky Lviv National Medical University and included in the educational process of

preparation of the students and interns-dentists.
Keywords: fracture, displacements field, acoustic emission, magnetoelastic

acoustic emission, hydrogen, wavelet transform, fracture types.