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 -