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

作者: Kaptsov A.V.¹, Shifrin E.I.¹
隶属关系:
1. Ishlinsky Institute for Problems in Mechanics RAS
期: 编号 6 (2023)
页面: 47-68
栏目: Articles
URL: https://rjmseer.com/1026-3519/article/view/672642
DOI: https://doi.org/10.31857/S0572329923600147
EDN: https://elibrary.ru/XOMURK
ID: 672642

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详细

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.

关键词

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

作者简介

A. Kaptsov

Ishlinsky Institute for Problems in Mechanics RAS

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

E. Shifrin

Ishlinsky Institute for Problems in Mechanics RAS

编辑信件的主要联系方式.
Email: shifrin@ipmnet.ru
119526, Moscow, Russia

参考

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