TY - GEN

T1 - On Timoshenko inclusions in elastic bodies crossing an external boundary

AU - Khludnev, Alexander

AU - Popova, Tatiana

PY - 2017/11/14

Y1 - 2017/11/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85036595034&partnerID=8YFLogxK

U2 - 10.1063/1.5012618

DO - 10.1063/1.5012618

M3 - Conference contribution

AN - SCOPUS:85036595034

VL - 1907

T3 - AIP Conference Proceedings

BT - Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017

A2 - Egorov, IE

A2 - Popov, SV

A2 - Vabishchevich, PN

A2 - Antonov, MY

A2 - Lazarev, NP

A2 - Troeva, MS

A2 - Troeva, MS

A2 - Ivanova, AO

A2 - Grigorev, YM

PB - American Institute of Physics Inc.

T2 - 8th International Conference on Mathematical Modeling, ICMM 2017

Y2 - 4 July 2017 through 8 July 2017

ER -