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Robust mixed finite element simulations of interactions of ultrasonic waves with cracks

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F16%3A86100169" target="_blank" >RIV/61989100:27240/16:86100169 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27740/16:86100169

  • Result on the web

    <a href="http://www.ndt.net/events/EWSHM2016/app/content/Paper/251_Lukas.pdf" target="_blank" >http://www.ndt.net/events/EWSHM2016/app/content/Paper/251_Lukas.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Robust mixed finite element simulations of interactions of ultrasonic waves with cracks

  • Original language description

    We are faced with interactions of ultrasonic waves with cracks in thin plates. These are important means in structural health monitoring of aircrafts. We present a couple of finite element models that are validated by means of Lamb dispersive (frequency-velocity) curves. In 2d it turns out that membranes and Kirchhoff plates imitate well the low frequency case of the lowest-order shear and bending modes, respectively. We switch to 3d displacement finite elements enhanced with higher-order ansatz functions in the thickness direction. These imitate properly the shear-horizontal modes, however, they suffer from the locking effect in case of the Lamb modes. We end up with 3d mixed elastic elements, which are referred to as tangential-displacements and normal-normal-stresses (TD-NNS), recently proposed and analyzed by Astrid Pechstein (born Sinwel) and Joachim Sch oberl at TU Vienna. We show that these new elements cover the whole spectrum of elastic waves including higher-order Lamb waves. Finally, relying on TD-NNS finite elements and a Newmark time discretization scheme we present simulations of interaction of ultrasonic waves with cracks.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    8th European Workshop on Structural Health Monitoring, EWSHM 2016

  • ISBN

    978-1-5108-2793-6

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    1154-1161

  • Publisher name

    NDT.net

  • Place of publication

    Bad Breisig

  • Event location

    Bilbao

  • Event date

    Jul 5, 2016

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article