Optimal Control of Parameters for Elastic Body with Thin Inclusions
| العنوان: | Optimal Control of Parameters for Elastic Body with Thin Inclusions |
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| المؤلفون: | Luisa Faella, Antonio Esposito, Alexander Khludnev |
| المصدر: | Journal of Optimization Theory and Applications. 184:293-314 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Thin inclusion ·Junction stiffness parameter ·Rigidity parameter Variational inequality ·Junction conditions ·Optimal control ·Inverse problem, 021103 operations research, Control and Optimization, Applied Mathematics, Mathematical analysis, 0211 other engineering and technologies, Stiffness, Rigidity (psychology), 010103 numerical & computational mathematics, 02 engineering and technology, Management Science and Operations Research, Inverse problem, Optimal control, 01 natural sciences, Connection (mathematics), Matrix (mathematics), medicine, Boundary value problem, 0101 mathematics, medicine.symptom, Energy functional, Mathematics |
| الوصف: | In this paper, an equilibrium problem for 2D non-homogeneous anisotropic elastic body is considered. It is assumed that the body has a thin elastic inclusion and a thin rigid inclusion. A connection between the inclusions at a given point is characterized by a junction stiffness parameter. The elastic inclusion is delaminated, thus forming an interfacial crack with the matrix. Inequality-type boundary conditions are imposed at the crack faces to prevent interpenetration. Existence of solutions is proved; different equivalent formulations of the problem are discussed; junction conditions at the connection point are found. A convergence of solutions as the junction stiffness parameter tends to zero and to infinity as well as the rigidity parameter of the elastic inclusion tends to infinity is investigated. An analysis of limit models is provided. An optimal control problem is analyzed with the cost functional equal to the derivative of the energy functional with respect to the crack length. A solution existence of an inverse problem for finding the junction stiffness and rigidity parameters is proved. |
| تدمد: | 1573-2878 0022-3239 |
| DOI: | 10.1007/s10957-019-01620-w |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f734ba0312fe360fc36cd619c73fed5 https://doi.org/10.1007/s10957-019-01620-w |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....2f734ba0312fe360fc36cd619c73fed5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15732878 00223239 |
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| DOI: | 10.1007/s10957-019-01620-w |