About topological method in the problem of recognizing types and characteristics of hidden defects in materials with covers

Authors

  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.3

Abstract

The possibility of the existence of defects, including not visually observed in the covers of materials is investigated. The shores of covers defects can be subject to different conditions of interaction - contact without friction, partial clutch, lacks only the individual components of stresses or displacements and others. The boundary value problem was reduced to functional equations transformed to pseudo differential equations applying the topological method. The factorization of the matrix-functions were made and the exterior forms were used to calculate the Lere residue. The solving of the Wiener and Hopf equations were performed and the estimation of the solutions were received. The recognition question of types of such defects is considered by research method of some spectral properties of boundary solutions.

Keywords:

localization, stress-strain state, factorization, topology, boundary-value problems, differential equations, exterior forms

Acknowledgement

Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (14-08-00404, 13-01-12003-м, 13-01-96502, 13-01-96505, 13-01-96508, 13-01-96509, 15-01-01379, 15-08-01377), гранта Президента РФ НШ-1245.2014.1, Программ Президиума РАН № 3 и № 43.

Author Info

Olga V. Evdokimova

д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

e-mail: evdokimova.olga@mail.ru

References

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Issue

2015. No. 2

Pages

39-46

Submitted

2015-05-31

Published

2015-06-25

How to Cite

Evdokimova O.V. About topological method in the problem of recognizing types and characteristics of hidden defects in materials with covers. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, no. 2, pp. 39-46. (In Russian)

Copyright (c) 2015 Evdokimova O.V.

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