A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization
In the present paper, a new approach to identifying an arbitrary number of inclusions, their geometry and their location in 2D and 3D structures using topological optimization was proposed. The new approach was based on the lack of initial information about the geometry of the inclusions and their l...
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MDPI AG
2022-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/1/49 |
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| author | A. V. Krysko Anton Makseev Anton Smirnov M. V. Zhigalov V. A. Krysko |
| author_facet | A. V. Krysko Anton Makseev Anton Smirnov M. V. Zhigalov V. A. Krysko |
| author_sort | A. V. Krysko |
| collection | DOAJ |
| description | In the present paper, a new approach to identifying an arbitrary number of inclusions, their geometry and their location in 2D and 3D structures using topological optimization was proposed. The new approach was based on the lack of initial information about the geometry of the inclusions and their location in the structure. The numerical solutions were obtained by the finite element method in combination with the method of moving asymptotes. The convergence of the finite element method at the coincidence of functions and their derivatives was analyzed. Results with an error of no more than 0.5%, i.e., almost exact solutions, were obtained. Identification at impact on the plate temperature and heat flux by solving the inverse problem of heat conduction was produced. Topological optimization for identifying an arbitrary number of inclusions, their geometry and their location in 2D problems was investigated. |
| first_indexed | 2024-03-11T10:08:45Z |
| format | Article |
| id | doaj.art-4e5d8e93ac2844d684602d605f2d77e6 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T10:08:45Z |
| publishDate | 2022-12-01 |
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| series | Applied Sciences |
| spelling | doaj.art-4e5d8e93ac2844d684602d605f2d77e62023-11-16T14:49:59ZengMDPI AGApplied Sciences2076-34172022-12-011314910.3390/app13010049A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological OptimizationA. V. Krysko0Anton Makseev1Anton Smirnov2M. V. Zhigalov3V. A. Krysko4Laboratory of 3D Structural and Functional Engineering, Moscow State University of Technology “STANKIN”, Vadkovsky per. 1, 127055 Moscow, RussiaDepartment of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054 Saratov, RussiaLaboratory of 3D Structural and Functional Engineering, Moscow State University of Technology “STANKIN”, Vadkovsky per. 1, 127055 Moscow, RussiaDepartment of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054 Saratov, RussiaDepartment of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054 Saratov, RussiaIn the present paper, a new approach to identifying an arbitrary number of inclusions, their geometry and their location in 2D and 3D structures using topological optimization was proposed. The new approach was based on the lack of initial information about the geometry of the inclusions and their location in the structure. The numerical solutions were obtained by the finite element method in combination with the method of moving asymptotes. The convergence of the finite element method at the coincidence of functions and their derivatives was analyzed. Results with an error of no more than 0.5%, i.e., almost exact solutions, were obtained. Identification at impact on the plate temperature and heat flux by solving the inverse problem of heat conduction was produced. Topological optimization for identifying an arbitrary number of inclusions, their geometry and their location in 2D problems was investigated.https://www.mdpi.com/2076-3417/13/1/49topological optimizationinverse heat conduction probleminclusionsfinite element methodidentificationheat flux |
| spellingShingle | A. V. Krysko Anton Makseev Anton Smirnov M. V. Zhigalov V. A. Krysko A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization Applied Sciences topological optimization inverse heat conduction problem inclusions finite element method identification heat flux |
| title | A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization |
| title_full | A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization |
| title_fullStr | A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization |
| title_full_unstemmed | A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization |
| title_short | A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization |
| title_sort | new approach to identifying an arbitrary number of inclusions their geometry and location in the structure using topological optimization |
| topic | topological optimization inverse heat conduction problem inclusions finite element method identification heat flux |
| url | https://www.mdpi.com/2076-3417/13/1/49 |
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