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

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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.

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Funding

The study was carried out on the topic of the state assignment (state registration no. 123021700050-1).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics RAS, 119526, Moscow, Russia

    A. V. Kaptsov & E. I. Shifrin

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  1. A. V. Kaptsov
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  2. E. I. Shifrin
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Correspondence to E. I. Shifrin.

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Translated by A. Borimova

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Kaptsov, A.V., Shifrin, E.I. Plane Problem of the Theory of Elasticity on the Identification of Nodal Points of a Quadrature Inclusion. Mech. Solids 58, 1967–1985 (2023). https://doi.org/10.3103/S0025654423600435

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  • DOI: https://doi.org/10.3103/S0025654423600435

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