On the topological derivative due to kink of a crack with non-penetration. Anti-plane model

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Khludnev, A.M., Kovtunenko, V.A., Tani, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Science [etc.] 2010
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3212851/
https://www.ncbi.nlm.nih.gov/pubmed/22163369
http://dx.doi.org/10.1016/j.matpur.2010.06.002
_version_ 1782216034946646016
author Khludnev, A.M.
Kovtunenko, V.A.
Tani, A.
author_facet Khludnev, A.M.
Kovtunenko, V.A.
Tani, A.
author_sort Khludnev, A.M.
collection PubMed
description 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.
format Online
Article
Text
id pubmed-3212851
institution National Center for Biotechnology Information
language English
publishDate 2010
publisher Elsevier Science [etc.]
record_format MEDLINE/PubMed
spelling pubmed-32128512011-12-05 On the topological derivative due to kink of a crack with non-penetration. Anti-plane model Khludnev, A.M. Kovtunenko, V.A. Tani, A. J Math Pures Appl Article 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. Elsevier Science [etc.] 2010-12 /pmc/articles/PMC3212851/ /pubmed/22163369 http://dx.doi.org/10.1016/j.matpur.2010.06.002 Text en © 2010 Elsevier Masson SAS. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Khludnev, A.M.
Kovtunenko, V.A.
Tani, A.
On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title_full On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title_fullStr On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title_full_unstemmed On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title_short On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
title_sort on the topological derivative due to kink of a crack with non-penetration. anti-plane model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3212851/
https://www.ncbi.nlm.nih.gov/pubmed/22163369
http://dx.doi.org/10.1016/j.matpur.2010.06.002
work_keys_str_mv AT khludnevam onthetopologicalderivativeduetokinkofacrackwithnonpenetrationantiplanemodel
AT kovtunenkova onthetopologicalderivativeduetokinkofacrackwithnonpenetrationantiplanemodel
AT tania onthetopologicalderivativeduetokinkofacrackwithnonpenetrationantiplanemodel

Ejemplares similares