Waves in Microstructured Solids: A Unified Viewpoint of Modelling

Arkadi Berezovski; Juri Engelbrecht; Mihhail Berezovski

doi:10.1007/s00707-011-0468-0

Waves in Microstructured Solids: A Unified Viewpoint of Modelling

Arkadi Berezovski, Juri Engelbrecht, Mihhail Berezovski

Tallinn University of Technology

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

Abstract

The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.

Original language	American English
Journal	Acta Mechanica
Volume	220
DOIs	https://doi.org/10.1007/s00707-011-0468-0
State	Published - Mar 1 2011
Externally published	Yes

Keywords

Dispersion Curve
Internal Variable
Linear Momentum
Free Energy Function
Microstructure Model

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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10.1007/s00707-011-0468-0License: CC BY

Waves in Microstructured Solids: A Unified Viewpoint of ModellingFinal published version, 247 KBLicense: CC BY

Cite this

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title = "Waves in Microstructured Solids: A Unified Viewpoint of Modelling",

abstract = " The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.",

keywords = "Dispersion Curve, Internal Variable, Linear Momentum, Free Energy Function, Microstructure Model",

author = "Arkadi Berezovski and Juri Engelbrecht and Mihhail Berezovski",

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AU - Berezovski, Mihhail

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N2 - The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.

AB - The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.

KW - Dispersion Curve

KW - Internal Variable

KW - Linear Momentum

KW - Free Energy Function

KW - Microstructure Model

UR - https://commons.erau.edu/publication/937

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VL - 220

JO - Acta Mechanica

JF - Acta Mechanica

ER -

Waves in Microstructured Solids: A Unified Viewpoint of Modelling

Abstract

Keywords

Disciplines

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