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Computational Mechanics
Erschienen in: Computational Mechanics 4/2015

01.04.2015 | Original Paper

An analysis of a discontinuous spectral element method for elastic wave propagation in a heterogeneous material

verfasst von: Jonghoon Bin, William S. Oates, M. Yousuff Hussaini

Erschienen in: Computational Mechanics | Ausgabe 4/2015

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Abstract

The numerical dispersion and dissipation properties of a discontinuous spectral element method are investigated in the context of elastic waves in one dimensional periodic heterogeneous materials. Their frequency dependence and elastic band characteristics are studied. Dispersion relations representing both pass band and stop band structures are derived and used to assess the accuracy of the numerical results. A high-order discontinuous spectral Galerkin method is used to calculate the complex dispersion relations in heterogeneous materials. Floquet–Bloch theory is used to derive the elastic band structure. The accuracy of the dispersion relation is investigated with respect to the spectral polynomial orders for three different cases of materials. Numerical investigations illustrate a spectral convergence in numerical accuracy with respect to the polynomial order based on the elastic band structure and a discontinuous jump of the maximum resolvable frequency within the pass bands resulting in a step-like increase of it with respect to the polynomial order.
Vorheriger Artikel Variational multiscale enrichment method with mixed boundary conditions for elasto-viscoplastic problems

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Metadaten
Titel
An analysis of a discontinuous spectral element method for elastic wave propagation in a heterogeneous material
verfasst von
Jonghoon Bin
William S. Oates
M. Yousuff Hussaini
Publikationsdatum
01.04.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2015
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-015-1137-2

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