Acta Mechanica Solida Sinica

, Volume 30, Issue 3, pp 327–333 | Cite as

Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle

  • A. M. Khludnev
  • T. S. Popova


The paper concerns 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, thus 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 going to infinity.


Thin Timoshenko inclusion Crack Delamination Fictitious domain method Non-penetration 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  1. 1.Lavrentyev Institute of Hydrodynamics of RASNovosibirsk State UniversityNovosibirskRussia
  2. 2.North-Eastern Federal UniversityYakutskRussia

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