Two-Scale Microstructure Dynamics

Arkadi Berezovski; Mihhail Berezovski; Juri Engelbrecht

doi:10.1142/S1756973711000479

Two-Scale Microstructure Dynamics

Arkadi Berezovski, Mihhail Berezovski, Juri Engelbrecht

Tallinn University of Technology

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

Abstract

Wave propagation in materials with embedded two different microstructures is considered. Each microstructure is characterized by its own length scale. The dual internal variables approach is adopted yielding in a Mindlin-type model including both microstructures. Equations of motion for microstructures are coupled with the balance of linear momentum for the macromotion, but not coupled with each other. Corresponding dispersion curves are provided and scale separation is pointed out.

Original language	American English
Journal	Journal of Multiscale Modelling
Volume	3
DOIs	https://doi.org/10.1142/S1756973711000479
State	Published - Sep 1 2011
Externally published	Yes

Keywords

Wave propagation
microstructured solids
double microstructure
dual internal variables

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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10.1142/S1756973711000479License: CC BY

Two-Scale Microstructure DynamicsFinal published version, 430 KBLicense: CC BY

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title = "Two-Scale Microstructure Dynamics",

abstract = " Wave propagation in materials with embedded two different microstructures is considered. Each microstructure is characterized by its own length scale. The dual internal variables approach is adopted yielding in a Mindlin-type model including both microstructures. Equations of motion for microstructures are coupled with the balance of linear momentum for the macromotion, but not coupled with each other. Corresponding dispersion curves are provided and scale separation is pointed out.",

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

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AU - Engelbrecht, Juri

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N2 - Wave propagation in materials with embedded two different microstructures is considered. Each microstructure is characterized by its own length scale. The dual internal variables approach is adopted yielding in a Mindlin-type model including both microstructures. Equations of motion for microstructures are coupled with the balance of linear momentum for the macromotion, but not coupled with each other. Corresponding dispersion curves are provided and scale separation is pointed out.

AB - Wave propagation in materials with embedded two different microstructures is considered. Each microstructure is characterized by its own length scale. The dual internal variables approach is adopted yielding in a Mindlin-type model including both microstructures. Equations of motion for microstructures are coupled with the balance of linear momentum for the macromotion, but not coupled with each other. Corresponding dispersion curves are provided and scale separation is pointed out.

KW - Wave propagation

KW - microstructured solids

KW - double microstructure

KW - dual internal variables

UR - https://commons.erau.edu/publication/936

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DO - 10.1142/S1756973711000479

M3 - Article

SN - 1756-9745

VL - 3

JO - Journal of Multiscale Modelling

JF - Journal of Multiscale Modelling

ER -

Two-Scale Microstructure Dynamics

Abstract

Keywords

Disciplines

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