On Timoshenko inclusions in elastic bodies crossing an external boundary

Alexander Khludnev, Tatiana Popova

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

The talk is concerned with an analysis of equilibrium problems for 2D elastic bodies with a thin Timoshenko inclusion crossing an external boundary at zero angle. The inclusion is assumed to be delaminated, forming a crack between the inclusion and the body. We consider elastic inclusions as well as rigid inclusions. To prevent a mutual penetration between the crack faces, inequality type boundary conditions are imposed at the crack faces. Theorems of existence and uniqueness are established. Passages to limits are investigated as a rigidity parameter of the elastic inclusion goes to infinity.

Original languageEnglish
Title of host publicationProceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017
EditorsIE Egorov, SV Popov, PN Vabishchevich, MY Antonov, NP Lazarev, MS Troeva, MS Troeva, AO Ivanova, YM Grigorev
PublisherAmerican Institute of Physics Inc.
Number of pages4
Volume1907
ISBN (Electronic)9780735415997
DOIs
Publication statusPublished - 14 Nov 2017
Event8th International Conference on Mathematical Modeling, ICMM 2017 - Yakutsk, Russian Federation
Duration: 4 Jul 20178 Jul 2017

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1907
ISSN (Print)0094-243X

Conference

Conference8th International Conference on Mathematical Modeling, ICMM 2017
CountryRussian Federation
CityYakutsk
Period04.07.201708.07.2017

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