TY - JOUR

T1 - Parameter identification problems for thin inclusions in elastic bodies

AU - Khludnev, A. M.

AU - Popova, T. S.

PY - 2017/10/22

Y1 - 2017/10/22

N2 - The paper concerns an identification of rigidity parameters for thin inclusions located inside elastic bodies. A delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic matrix. Inequality type boundary conditions are imposed at the crack faces to exclude a mutual penetration. We consider elastic as well as rigid inclusions and solve an optimal control problem for finding a rigidity parameter minimizing a suitable cost functional. The cost functional characterizes a displacement of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

AB - The paper concerns an identification of rigidity parameters for thin inclusions located inside elastic bodies. A delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic matrix. Inequality type boundary conditions are imposed at the crack faces to exclude a mutual penetration. We consider elastic as well as rigid inclusions and solve an optimal control problem for finding a rigidity parameter minimizing a suitable cost functional. The cost functional characterizes a displacement of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

KW - JUNCTION PROBLEM

KW - BOUNDARY

KW - BODY

UR - http://www.scopus.com/inward/record.url?scp=85033223357&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012101

DO - 10.1088/1742-6596/894/1/012101

M3 - Article

AN - SCOPUS:85033223357

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012101

ER -