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Deformation Waves in Microstructured Materials: Theory and Numerics

  • Jüri EngelbrechtEmail author
  • Arkadi Berezovski
  • Mihhail Berezovski
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 26)

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

Keywords

Solitary Wave Direct Numerical Simulation Internal Variable Elastic Wave Propagation Dissipation Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Jüri Engelbrecht
    • 1
    Email author
  • Arkadi Berezovski
    • 1
  • Mihhail Berezovski
    • 1
  1. 1.Centre for Nonlinear StudiesInstitute of Cybernetics at Tallinn University of TechnologyTallinnEstonia

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