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IDENTIFICATION OF NODAL POINTS OF ELASTIC INCLUSION IN ELASTIC PLANE
- Authors: Shifrin E.I.1, Kaptsov A.V.1
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics RAS
- Issue: Vol 509, No 1 (2023)
- Pages: 77-82
- Section: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/142174
- DOI: https://doi.org/10.31857/S268695432370011X
- EDN: https://elibrary.ru/CTPNFY
- ID: 142174
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Abstract
A geometric inverse problem of identifying an isotropic, linearly elastic inclusion in an isotropic, linearly elastic plane is considered. It is assumed that constant stresses are given at infinity, and the displacements and acting loads are known on some closed curve enclosing the inclusion. In the case when the inclusion is a quadrature domain, a method for identifying its nodal points has been developed. A numerical example is considered.
About the authors
E. I. Shifrin
Ishlinsky Institute for Problems in Mechanics RAS
Author for correspondence.
Email: shifrin@ipmnet.ru
Russian Federation, Moscow
A. V. Kaptsov
Ishlinsky Institute for Problems in Mechanics RAS
Author for correspondence.
Email: kaptsov@ipmnet.ru
Russian Federation, Moscow
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