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Deformation Waves in Microstructured Materials: Theory and Numerics

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IUTAM Symposium on Recent Advances of Acoustic Waves in Solids

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 26))

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Abstract

A linear model of the microstructured continuum based on Mindlin theory is adopted which can be represented in the framework of the internal variable theory. Fully coupled systems of equations for macro-motion and microstructure evolution are represented in the form of conservation laws. A modification of wave propagation algorithm is used for numerical calculations. Results of direct numerical simulations of wave propagation in periodic medium are compared with similar results for the continuous media with the modelled microstructure. It is shown that the proper choice of material constants should be made to match the results obtained by both approaches

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Author information

Authors and Affiliations

  1. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Tallinn, Estonia

    Jüri Engelbrecht, Arkadi Berezovski & Mihhail Berezovski

Authors
  1. Jüri Engelbrecht
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  2. Arkadi Berezovski
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  3. Mihhail Berezovski
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Corresponding author

Correspondence to Jüri Engelbrecht .

Editor information

Editors and Affiliations

  1. Institute of Applied Mechanics, Dept. Mechanical Engineering, National Taiwan University, Roosevelt Road 1, Taipei, 10617, Taiwan R.O.C.

    Tsung-Tsong Wu

  2. Dept. Mechanical Engineering, National Taiwan University, Roosevelt Rd. 1, Taipei, 106, Taiwan R.O.C.

    Chien-Ching Ma

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Engelbrecht, J., Berezovski, A., Berezovski, M. (2010). Deformation Waves in Microstructured Materials: Theory and Numerics. In: Wu, TT., Ma, CC. (eds) IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9893-1_2

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  • DOI: https://doi.org/10.1007/978-90-481-9893-1_2

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9892-4

  • Online ISBN: 978-90-481-9893-1

  • eBook Packages: EngineeringEngineering (R0)

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