Deformation Waves in Microstructured Materials: Theory and Numerics

Authors

Juri Engelbrecht, Tallinn University of TechnologyFollow
Arkadi Berezovski, Tallinn University of TechnologyFollow
Mihhail Berezovski, Embry-Riddle Aeronautical UniversityFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Book Chapter

Publication/Presentation Date

9-17-2010

Abstract/Description

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

DOI

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

Sponsorship/Conference/Institution

IUTAM Symposium on Recent Advances of Acoustic Waves in Solids

Location

Taipei, Taiwan

Scholarly Commons Citation

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