Reconstructing the Amplitudes of Radiation of a Defect Based on Acoustic Emission Signals at the Free Boundary of a Massive Body


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Abstract

We consider the problem in the dynamic theory of elasticity about steady-state oscillations in a massive elastic body that is at the pre-fracture stage of material under antiplane strain. The process of acoustic emission (AE) at the stage of accumulation of defects representing a finite tree graph directed toward the free boundary of the elastic body is investigated. The problem about the radiation of a defect has been solved under the assumption of the activity of its part nearest to the body boundary. A variational approach was used to solve the inverse problem of reconstructing the amplitudes of radiation of the defect based on AE signals.

About the authors

V. N. Berkovich

Don Cossack State Institute of Food Technologies and Business

Author for correspondence.
Email: vberkovich@mail.ru
Russian Federation, Rostov-on-Don, 344007

S. I. Builo

Vorovich Institute of Mathematics, Mechanics and Computer Science

Author for correspondence.
Email: bsi@math.sfedu.ru
Russian Federation, Rostov-on-Don, 344090


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