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Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F21%3A10248754" target="_blank" >RIV/61989100:27240/21:10248754 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S037847542100121X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S037847542100121X</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.matcom.2021.04.003" target="_blank" >10.1016/j.matcom.2021.04.003</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics

  • Original language description

    We compare several lowest-order finite element approximations to the problem of elastodynamics of thin-walled structures by means of dispersion analysis, which relates the parameter frequency-times-thickness (f d) and the wave speed. We restrict to analytical theory of harmonic front-crested waves that freely propagate in an infinite plate. Our study is formulated as a quasi-periodic eigenvalue problem on a single tensor-product element, which is eventually layered in the thickness direction. In the first part of the paper it is observed that the displacement-based finite elements align with the theory provided there are sufficiently many layers. In the second part we present novel anisotropic hexahedral tangential-displacement and normal- normal-stress continuous (TDNNS) mixed finite elements for Hellinger-Reissner formulation of elastodynamics. It turns out that one layer of such elements is sufficient for f d up to 2000 [kHz mm]. Nevertheless, due to a large amount of TDNNS degrees of freedom the computational complexity is only comparable to the multi-layer displacement-based element. This is not the case at low frequencies, where TDNNS is by far more efficient since it allows for rough anisotropic discretizations, contrary to the displacement-based elements that suffer from the shear locking effect. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-22615S" target="_blank" >GA17-22615S: Time reversal ultrasonic signal processing used in nondestructive evaluation of materials and structures</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics and computers in simulation

  • ISSN

    0378-4754

  • e-ISSN

  • Volume of the periodical

    189

  • Issue of the periodical within the volume

    November

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

    325-338

  • UT code for WoS article

    000683684700022

  • EID of the result in the Scopus database