2010年12月
On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- ,
- ,
- 巻
- 94
- 号
- 6
- 開始ページ
- 571
- 終了ページ
- 596
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1016/j.matpur.2010.06.002
- 出版者・発行元
- GAUTHIER-VILLARS/EDITIONS ELSEVIER
A topological derivative is defined, which is caused by kinking of a crack, thus, representing the topological change. Using variational methods, the anti-plane model of a solid subject to a non-penetration condition imposed at the kinked crack is considered. The objective function of the potential energy is expanded with respect to the diminishing branch of the incipient crack. The respective sensitivity analysis is provided by a Saint-Venant principle and a local decomposition of the solution of the variational problem in the Fourier series. (C) 2010 Elsevier Masson SAS. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.matpur.2010.06.002
- ISSN : 0021-7824
- Web of Science ID : WOS:000285429500002