On modeling elastic bodies with defects Научная публикация
| Журнал |
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Вых. Данные | Год: 2018, Том: 15, Страницы: 153-166 Страниц : 14 DOI: 10.17377/semi.2018.15.015 | ||||
| Ключевые слова | Damage parameter; Defect; Derivative of energy functional; Non-penetration boundary conditions; Optimal control; Variational inequality | ||||
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Реферат:
The paper concerns a mathematical analysis of equilibrium problems for 2D elastic bodies with thin defects. The defects are characterized with a damage parameter. A presence of defects implies that the problems are formulated in a nonsmooth domain with a cut. Nonlinear boundary conditions at the cut faces are considered to prevent a mutual penetration between the faces. Weak and strong formulations of the problems are analyzed. The paper provides an asymptotic analysis with respect to the damage parameter. We obtain invariant integrals over curves surrounding the defect tip. An optimal control problem is investigated with a cost functional equal to the derivative of the energy functional with respect to the defect length, and the damage parameter being a control function.
Библиографическая ссылка:
Khludnev A.M.
On modeling elastic bodies with defects
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.153-166. DOI: 10.17377/semi.2018.15.015 WOS Scopus РИНЦ
On modeling elastic bodies with defects
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.153-166. DOI: 10.17377/semi.2018.15.015 WOS Scopus РИНЦ
Даты:
| Поступила в редакцию: | 29 дек. 2017 г. |
| Опубликована в печати: | 15 февр. 2018 г. |
Идентификаторы БД:
| Web of science: | WOS:000438412200015 |
| Scopus: | 2-s2.0-85045711912 |
| РИНЦ: | 36998659 |