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Application of energy measures in detection of local deviations in mechanical properties of structural elements

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Abstract

The identification of local damages in structural elements is considered. In the proposed formulation, the damages are represented as local changes in structural stiffness and they are defined by a set of parameters. The main effort of this work is directed to the use of global measures of energy to indicate the local changes of stiffness. An idea of use of additional design parameters in order to optimize the experiment and to enlarge the sensitivity of objective functional with respect to damage parameters is applied. In order to accomplish this goal, the distribution of energy within the structural domain is optimized. Two cases, namely the eigenproblem and the structure under the static external load, are discussed. Simple illustrative example of identification of damage is discussed, and numerical results are presented.

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Authors and Affiliations

  1. Warsaw University of Technology, plac Politechniki 1, 00-661, Warsaw, Poland

    Tomasz Lekszycki

  2. Department of Experimental Physiology and Pathophysiology, Medical University of Warsaw, Warsaw, Poland

    Tomasz Lekszycki

  3. International Center M&MOCS Mathematics and Mechanics of Complex Systems, DICEAA, Universitá degli Studi dell’Aquila, Via GiovanniGronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    Fabio Di Cosmo & Marco Laudato

  4. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Universitá degli Studi dell’Aquila, Via Vetoio (Coppito 1), 67100, Coppito, L’Aquila, Italy

    Marco Laudato

  5. Department of Mechanical Engineering, Bilkent University, 06800, Ankara, Turkey

    Onur Vardar

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  1. Tomasz Lekszycki
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Correspondence to Marco Laudato.

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Communicated by Francesco dell’Isola.

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Lekszycki, T., Di Cosmo, F., Laudato, M. et al. Application of energy measures in detection of local deviations in mechanical properties of structural elements. Continuum Mech. Thermodyn. 31, 413–425 (2019). https://doi.org/10.1007/s00161-018-0695-x

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