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Propagation of non-stationary waves in viscoelastic strip composed of orthotropic layers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00483794" target="_blank" >RIV/61388998:_____/17:00483794 - isvavai.cz</a>

  • Alternative codes found

    RIV/49777513:23520/17:43949548

  • Result on the web

    <a href="https://2017.compdyn.org/" target="_blank" >https://2017.compdyn.org/</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Propagation of non-stationary waves in viscoelastic strip composed of orthotropic layers

  • Original language description

    The analytical solution for transient waves caused by transverse impact on an infinite layered strip with free-free boundaries is presented in this work. The strip is composed of two horizontal layers of different heights. The materials of both layers are assumed to be linear viscoelastic and orthotropic. The case of special orthotropy is assumed for simplicity. The dissipative behaviour of each layer is modelled by the discrete model of standard linear viscoelastic solid in Zener configuration. The solving procedure used in this work follows the methods applied in previously published works dealing with the problems of a viscoelastic orthotropic strip and the symmetric case of a layered strip. The system of four linear partial integro-differential equations describing the non-stationary state of plane stress in the strip is solved by means of integral transform method. Concretely, the Laplace transform in time domain and the Fourier transform in spatial domain are applied. As a results of this procedure, the final formulas for displacement components in both layers are derived in Laplace domain. These transforms contain eight spectra of Fourier integrals which can be found as the solution of the system of eight complex equations arising from boundary conditions of the problem. When the spectra are known, the resulting formulas for the Laplace transforms of displacement components are obtained.nThe presented new formulation of non-symmetric problem enables to study the wave phenomena in general two-layered solids of strip-like geometry and it is fundamental for solving a problem with arbitrary number of layers.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20302 - Applied mechanics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings

  • ISBN

    978-618-82844-1-8

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    1322-1329

  • Publisher name

    National Technical University of Athens

  • Place of publication

    Athens

  • Event location

    Rhodes

  • Event date

    Jun 15, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article