Deformation Waves in Microstructured Materials: Theory and Numerics

Jüri Engelbrecht; Arkadi Berezovski; Mihhail Berezovski

Deformation Waves in Microstructured Materials: Theory and Numerics

Jüri Engelbrecht
, Arkadi Berezovski
, Mihhail Berezovski

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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

Original language	Undefined/Unknown
Title of host publication	IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries
Editors	Tsung-Tsong Wu, Chien-Ching Ma
Place of Publication	Dordrecht
Publisher	Springer Netherlands
Pages	19-29
Number of pages	11
Volume	26
ISBN (Print)	978-90-481-9893-1
State	Published - 2010

Cite this

Deformation Waves in Microstructured Materials: Theory and Numerics. / Engelbrecht, Jüri; Berezovski, Arkadi; Berezovski, Mihhail.
IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries. ed. / Tsung-Tsong Wu; Chien-Ching Ma. Vol. 26 Dordrecht: Springer Netherlands, 2010. p. 19-29.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - 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

AB - 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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BT - IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries

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