Recurrent approach to effective material properties with application to anisotropic binarized random fields

Galí, MA; Arnold, MD

Recurrent approach to effective material properties with application to anisotropic binarized random fields

Galí, MA

Arnold, MD

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Publication Type:: Journal Article
Citation:: Physical Review B, 2019, 99 (5)
Issue Date:: 2019-02-26

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Field	Value	Language
dc.contributor.author	Galí, MA https://orcid.org/0000-0002-8934-0006	en_US
dc.contributor.author	Arnold, MD https://orcid.org/0000-0003-4164-0242	en_US
dc.date.issued	2019-02-26	en_US
dc.identifier.citation	Physical Review B, 2019, 99 (5)	en_US
dc.identifier.issn	2469-9950	en_US
dc.identifier.uri	http://hdl.handle.net/10453/132754
dc.description.abstract	© 2019 American Physical Society. Building on the foundational work of Brown, Milton, and Torquato, we present a tractable approach to analyze the effective permittivity of anisotropic two-phase structures. This methodology accounts for successive dipolar interactions, providing a recurrent series expansion of the effective permittivity to arbitrary order. Within this framework, we also demonstrate a progressive method to determine tight bounds that converge toward the exact solution. We illustrate the utility of these methods by using ensemble averaging to determine the microstructural parameters of anisotropic level-cut Gaussian fields. We find that the depolarization factor of these structures is equivalent to that of an isolated ellipse with the same stretching ratio, and we discuss the contribution of the fourth-order term to the exact anisotropy.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP140102003
dc.relation.ispartof	Physical Review B	en_US
dc.relation.isbasedon	10.1103/PhysRevB.99.054210	en_US
dc.title	Recurrent approach to effective material properties with application to anisotropic binarized random fields	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	99	en_US
utslib.for	0203 Classical Physics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	99	en_US

Abstract:

© 2019 American Physical Society. Building on the foundational work of Brown, Milton, and Torquato, we present a tractable approach to analyze the effective permittivity of anisotropic two-phase structures. This methodology accounts for successive dipolar interactions, providing a recurrent series expansion of the effective permittivity to arbitrary order. Within this framework, we also demonstrate a progressive method to determine tight bounds that converge toward the exact solution. We illustrate the utility of these methods by using ensemble averaging to determine the microstructural parameters of anisotropic level-cut Gaussian fields. We find that the depolarization factor of these structures is equivalent to that of an isolated ellipse with the same stretching ratio, and we discuss the contribution of the fourth-order term to the exact anisotropy.

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http://hdl.handle.net/10453/132754