Optimal control of rigidity parameters of thin inclusions in composite materials

A. M. Khludnev, L. Faella, C. Perugia

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number47
    Number of pages12
    JournalZeitschrift fur Angewandte Mathematik und Physik
    Volume68
    Issue number2
    DOIs
    Publication statusPublished - 1 Apr 2017

    Keywords

    • Crack
    • Elastic body
    • Nonpenetration condition
    • Optimal control
    • Rigid inclusion
    • Thin inclusion
    • PERTURBATIONS
    • INTERFACIAL CRACKS
    • IDENTIFICATION
    • PLATES
    • JUNCTION
    • INTEGRALS
    • SHAPE SENSITIVITY-ANALYSIS
    • ELASTIC BODIES
    • OPTIMIZATION

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