Plane Problem of the Theory of Elasticity on the Identification of Nodal Points of a Quadrature Inclusion

A. V. Kaptsov; Капцов А. В.; E. I. Shifrin; Шифрин Е. И.

doi:10.31857/S0572329923600147

Plane Problem of the Theory of Elasticity on the Identification of Nodal Points of a Quadrature Inclusion

Authors: Kaptsov A.V.¹, Shifrin E.I.¹
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics RAS
Issue: No 6 (2023)
Pages: 47-68
Section: Articles
URL: https://journals.rcsi.science/1026-3519/article/view/231705
DOI: https://doi.org/10.31857/S0572329923600147
EDN: https://elibrary.ru/XOMURK
ID: 231705

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Abstract
About the authors
References
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Abstract

The problem of detection and identification of an elastic inclusion in an isotropic, linearly elastic plane is considered. It is assumed that constant stresses are set at infinity. It is also assumed that on some closed curve containing an inclusion inside, the acting forces and displacements are known quantities. For the case of quadrature domain occupied by the inclusion, a method for identifying its nodal points has been developed. The developed method is based on the application of the principle of reciprocity. Numerical examples are given.

Keywords

elasticity, plane problem, quadrature domain, nodal points, inverse problem

About the authors

A. V. Kaptsov

Ishlinsky Institute for Problems in Mechanics RAS

Email: shifrin@ipmnet.ru
119526, Moscow, Russia

E. I. Shifrin

Ishlinsky Institute for Problems in Mechanics RAS

Author for correspondence.
Email: shifrin@ipmnet.ru
119526, Moscow, Russia

References

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