 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| A.V. Kaptsov and E.I. Shifrin, "Plane Problem of the Theory of Elasticity on the Identification of Nodal Points of a Quadrature Inclusion," Mech. Solids. 58 (6), 1967-1985 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
6 |
Pages |
1967-1985 |
| DOI |
10.3103/S0025654423600435 |
| Title |
Plane Problem of the Theory of Elasticity on the Identification of Nodal Points of a Quadrature Inclusion |
| Author(s) |
A.V. Kaptsov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia)
E.I. Shifrin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, shifrin@ipmnet.ru) |
| 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 |
| Received |
14 March 2023 | Revised |
22 March 2023 | Accepted |
23 March 2023 |
| Link to Fulltext |
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