TY - JOUR

T1 - Optimal control of rigidity parameters of thin inclusions in composite materials

AU - Khludnev, A. M.

AU - Faella, L.

AU - Perugia, C.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In the paper, an equilibrium problem for an elastic body with a thin elastic and a volume rigid inclusion is analyzed. It is assumed that the thin inclusion conjugates with the rigid inclusion at a given point. Moreover, a delamination of the thin inclusion is assumed. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. A passage to the limit is justified as the rigidity parameter of the thin inclusion goes to infinity. The main goal of the paper is to analyze an optimal control problem with a cost functional characterizing a deviation of the displacement field from a given function. A rigidity parameter of the thin inclusion serves as a control function. An existence theorem to this problem is proved.

AB - In the paper, an equilibrium problem for an elastic body with a thin elastic and a volume rigid inclusion is analyzed. It is assumed that the thin inclusion conjugates with the rigid inclusion at a given point. Moreover, a delamination of the thin inclusion is assumed. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. A passage to the limit is justified as the rigidity parameter of the thin inclusion goes to infinity. The main goal of the paper is to analyze an optimal control problem with a cost functional characterizing a deviation of the displacement field from a given function. A rigidity parameter of the thin inclusion serves as a control function. An existence theorem to this problem is proved.

KW - Crack

KW - Elastic body

KW - Nonpenetration condition

KW - Optimal control

KW - Rigid inclusion

KW - Thin inclusion

KW - PERTURBATIONS

KW - INTERFACIAL CRACKS

KW - IDENTIFICATION

KW - PLATES

KW - JUNCTION

KW - INTEGRALS

KW - SHAPE SENSITIVITY-ANALYSIS

KW - ELASTIC BODIES

KW - OPTIMIZATION

UR - http://www.scopus.com/inward/record.url?scp=85016138044&partnerID=8YFLogxK

U2 - 10.1007/s00033-017-0792-x

DO - 10.1007/s00033-017-0792-x

M3 - Article

AN - SCOPUS:85016138044

VL - 68

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 2

M1 - 47

ER -