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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 3, Pages 41–47 (Mi vmumm4539)

This article is cited in 4 papers

Mechanics

Identification method for inhomogeneous fields of residual stresses

È. B. Zavoychinskaya, A. S. Plotnikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A numerical-analytical method of three-axial inhomogeneous elastic residual stress determination based on the data of the displacement optical measurement during the incremental hole drilling method is presented. The constitutive relations for the displacements as the three variable functions (in plane of the hole and along its depth) are represented by the Volterra integral operators. A method of finding the basic functions is given. The stress tensor components recovered by the proposed method are in good agreement with the well-known solution of a problem where the residual stresses are formed by bending an elastic-ideally plastic beam.

Key words: inhomogeneous residual stress, incremental hole drilling method, DSPI, DIC, Volterra operator.

UDC: 539.3

Received: 08.12.2022

DOI: 10.55959/MSU0579-9368-1-64-3-7


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:3, 63–70

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© Steklov Math. Inst. of RAS, 2026