Dispersive Wave Equations for Solids with Microstructure

A. Berezovski; Juri Engelbrecht; Mihhail Berezovski

doi:10.1007/978-94-007-2069-5_94

Dispersive Wave Equations for Solids with Microstructure

A. Berezovski, Juri Engelbrecht, Mihhail Berezovski

Tallinn University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The dispersive wave motion in solids with microstructure is considered in the one-dimensional setting in order to understand better the mechanism of dispersion. It is shown that the variety of dispersive wave propagation models derived by homogenization, continualisation, and generalization of continuum mechanics can be unified in the framework of dual internal variables theory.

Original language	American English
Journal	Default journal
DOIs	https://doi.org/10.1007/978-94-007-2069-5_94
State	Published - Jan 1 2011
Externally published	Yes

Keywords

dispersive wave
microstructured solids
internal variables

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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10.1007/978-94-007-2069-5_94License: CC BY

Dispersive Wave Equations for Solids with MicrostructureFinal published version, 201 KBLicense: CC BY

Cite this

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abstract = " The dispersive wave motion in solids with microstructure is considered in the one-dimensional setting in order to understand better the mechanism of dispersion. It is shown that the variety of dispersive wave propagation models derived by homogenization, continualisation, and generalization of continuum mechanics can be unified in the framework of dual internal variables theory.",

keywords = "dispersive wave, microstructured solids, internal variables",

author = "A. Berezovski and Juri Engelbrecht and Mihhail Berezovski",

note = "Berezovski A., Engelbrecht J., Berezovski M. (2011) Dispersive Wave Equations for Solids with Microstructure. In: N{\'a}prstek J., Hor{\'a}{\v c}ek J., Okrouhl{\'i}k M., Marvalov{\'a} B., Verhulst F., Sawicki J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht",

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AU - Engelbrecht, Juri

AU - Berezovski, Mihhail

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PY - 2011/1/1

Y1 - 2011/1/1

N2 - The dispersive wave motion in solids with microstructure is considered in the one-dimensional setting in order to understand better the mechanism of dispersion. It is shown that the variety of dispersive wave propagation models derived by homogenization, continualisation, and generalization of continuum mechanics can be unified in the framework of dual internal variables theory.

AB - The dispersive wave motion in solids with microstructure is considered in the one-dimensional setting in order to understand better the mechanism of dispersion. It is shown that the variety of dispersive wave propagation models derived by homogenization, continualisation, and generalization of continuum mechanics can be unified in the framework of dual internal variables theory.

KW - dispersive wave

KW - microstructured solids

KW - internal variables

UR - https://commons.erau.edu/publication/939

U2 - 10.1007/978-94-007-2069-5_94

DO - 10.1007/978-94-007-2069-5_94

M3 - Article

JO - Default journal

JF - Default journal

ER -

Dispersive Wave Equations for Solids with Microstructure

Abstract

Keywords

Disciplines

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