TY - JOUR

T1 - Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle

AU - Khludnev, A. M.

AU - Popova, T. S.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

KW - Crack

KW - Delamination

KW - Fictitious domain method

KW - Non-penetration

KW - Thin Timoshenko inclusion

KW - SHAPE SENSITIVITY-ANALYSIS

KW - PERTURBATIONS

KW - CRACK

KW - PLATE

KW - THIN RIGID INCLUSIONS

KW - JUNCTION

UR - http://www.scopus.com/inward/record.url?scp=85021452533&partnerID=8YFLogxK

U2 - 10.1016/j.camss.2017.05.005

DO - 10.1016/j.camss.2017.05.005

M3 - Article

AN - SCOPUS:85021452533

VL - 30

SP - 327

EP - 333

JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

SN - 0894-9166

IS - 3

ER -