Research output: Contribution to journal › Article › peer-review
Noncoercive problems for elastic bodies with thin elastic inclusions. / Khludnev, Alexander; Fankina, Irina.
In: Mathematical Methods in the Applied Sciences, Vol. 46, No. 13, 15.09.2023, p. 14214-14228.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Noncoercive problems for elastic bodies with thin elastic inclusions
AU - Khludnev, Alexander
AU - Fankina, Irina
PY - 2023/9/15
Y1 - 2023/9/15
N2 - The paper concerns boundary value problems for an elastic body with a thin elastic inclusion for a noncoercive case. The inclusion is assumed to be delaminated thus forming a crack between the inclusion and the surrounding elastic body. To provide a mutual nonpenetration between crack faces, we consider inequality type boundary conditions with unknown set of a contact. In the paper, a solution existence of the equilibrium problems is proved for the cases when one or two given points of the inclusion are fixed as well as and for the case without these restrictions.
AB - The paper concerns boundary value problems for an elastic body with a thin elastic inclusion for a noncoercive case. The inclusion is assumed to be delaminated thus forming a crack between the inclusion and the surrounding elastic body. To provide a mutual nonpenetration between crack faces, we consider inequality type boundary conditions with unknown set of a contact. In the paper, a solution existence of the equilibrium problems is proved for the cases when one or two given points of the inclusion are fixed as well as and for the case without these restrictions.
KW - crack
KW - elastic body
KW - noncoercive boundary problem
KW - thin elastic inclusion
KW - variational inequality
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85157966490&origin=inward&txGid=b646679d6d5d8f01a96f75940e909d3a
UR - https://www.mendeley.com/catalogue/b398ecb4-0a74-3287-bc0f-343236a5fc7c/
U2 - 10.1002/mma.9315
DO - 10.1002/mma.9315
M3 - Article
VL - 46
SP - 14214
EP - 14228
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
SN - 0170-4214
IS - 13
ER -
ID: 55508244