Research output: Contribution to journal › Article › peer-review
Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle. / Khludnev, A. M.; Popova, T. S.
In: Acta Mechanica Solida Sinica, Vol. 30, No. 3, 01.06.2017, p. 327-333.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 9053267