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Damping Boundary Conditions for a Reduced Solution Domain Size and Effective Numerical Analysis of Heterogeneous Waveguides

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Lamb-Wave Based Structural Health Monitoring in Polymer Composites

Part of the book series: Research Topics in Aerospace ((RTA))

Abstract

In the current chapter we focus on the development of numerical methods to reduce the computational effort of finite element (FE)-based wave propagation analysis and to enable the modelling of heterogeneous cellular structures. To this end, we take two different approaches: (1) implementation of damping boundary conditions to reduce the solution domain, and (2) development of methodologies to approximately capture the heterogeneities of cellular sandwich materials. The main advantage of our approach is seen in the fact that it can be implemented in commercial FE software in a straightforward fashion. Using these approaches we can study the interaction of guided waves with heterogeneous and cellular microstructures with a significantly reduced numerical effort. By means of parametric studies we then extract important variables that influence the behavior of elastic waves in sandwich panels.

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Authors and Affiliations

  1. Institute of Mechanics, Otto von Guericke University Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    S. Duczek, S. M. H. Hosseini & U. Gabbert

Authors
  1. S. Duczek
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  2. S. M. H. Hosseini
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  3. U. Gabbert
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Corresponding authors

Correspondence to S. Duczek or U. Gabbert .

Editor information

Editors and Affiliations

  1. Institute of Mechanics, Helmut-Schmidt-University, University of the Federal Armed Forces Hamburg, Hamburg, Germany

    Rolf Lammering

  2. Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Germany

    Ulrich Gabbert

  3. Institute of Adaptronics and Function Integration, Braunschweig University of Technology, Braunschweig, Germany

    Michael Sinapius

  4. Faculty of Mathematics, Saarland University, Saarbrücken, Germany

    Thomas Schuster

  5. DLR - German Aerospace Center, Braunschweig, Germany

    Peter Wierach

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Duczek, S., Hosseini, S.M.H., Gabbert, U. (2018). Damping Boundary Conditions for a Reduced Solution Domain Size and Effective Numerical Analysis of Heterogeneous Waveguides. In: Lammering, R., Gabbert, U., Sinapius, M., Schuster, T., Wierach, P. (eds) Lamb-Wave Based Structural Health Monitoring in Polymer Composites. Research Topics in Aerospace. Springer, Cham. https://doi.org/10.1007/978-3-319-49715-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-49715-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49714-3

  • Online ISBN: 978-3-319-49715-0

  • eBook Packages: EngineeringEngineering (R0)

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