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On the quasistatic effective elastic moduli for elastic waves in three-dimensional phononic crystals

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Text
TitleInfo
Title
On the quasistatic effective elastic moduli for elastic waves in three-dimensional phononic crystals
Name (authority = orcid); (authorityURI = http://id.loc.gov/vocabulary/identifiers/orcid.html); (type = personal); (valueURI = http://orcid.org/0000-0001-7577-3698)
NamePart (type = family)
Norris
NamePart (type = given)
Andrew N.
Affiliation
Mechanical and Aerospace Engineering, Rutgers University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Kutsenko
NamePart (type = given)
A. A.
Affiliation
Université de Bordeaux
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Shuvalov
NamePart (type = given)
A. L.
Affiliation
Université de Bordeaux
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (authority = RutgersOrg-Department); (type = corporate)
NamePart
Mechanical and Aerospace Engineering
Name (authority = RutgersOrg-School); (type = corporate)
NamePart
School of Engineering
Genre (authority = RULIB-FS)
Article, Refereed
Genre (authority = NISO JAV)
Accepted Manuscript (AM)
Note (type = peerReview)
Peer reviewed
OriginInfo
Publisher
Elsevier
DateIssued (encoding = w3cdtf); (keyDate = yes)
2013
Abstract (type = Abstract)
Effective elastic moduli for 3D solid-solid phononic crystals of arbitrary anisotropy and oblique lattice structure are formulated analytically using the plane-wave expansion (PWE) method and the recently proposed monodromy-matrix (MM) method. The latter approach employs Fourier series in two dimensions with direct numerical integration along the third direction. As a result, the MM method converges much quicker to the exact moduli in comparison with the PWE as the number of Fourier coefficients increases. The MM method yields a more explicit formula than previous results, enabling a closed-form upper bound on the effective Christoffel tensor. The MM approach significantly improves the efficiency and accuracy of evaluating effective wave speeds for high-contrast composites and for configurations of closely spaced inclusions, as demonstrated by three-dimensional examples.
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
PhysicalDescription
InternetMediaType
application/pdf
Extent
17 p.
Extension
DescriptiveEvent
Type
Citation
DateTime (encoding = w3cdtf)
2013
AssociatedObject
Name
Journal of the Mechanics and Physics of Solids
Type
Journal
Relationship
Has part
Detail
2260-2272
Identifier (type = volume and issue)
61(11)
Reference (type = url)
http://dx.doi.org/10.1016/j.jmps.2013.06.003
Subject (authority = local)
Topic
Effective moduli
Subject (authority = local)
Topic
Plane-wave expansion
Subject (authority = local)
Topic
Homogenization
Subject (authority = local)
Topic
Monodromy matrix
RelatedItem (type = has document)
TitleInfo
Title
arXiv. SOAR-blanket permission to share arXiv documents through IR at author's directive
Identifier (type = doi)
10.7282/T3WQ05K3
RelatedItem (type = host)
TitleInfo
Title
Norris Andrew Collection
Identifier (type = local)
rucore30021000001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3SX6FX9
Genre (authority = ExL-Esploro)
Accepted Manuscript
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RightsDeclaration (AUTHORITY = FS); (ID = rulibRdec0004)
Copyright for scholarly resources published in RUcore is retained by the copyright holder. By virtue of its appearance in this open access medium, you are free to use this resource, with proper attribution, in educational and other non-commercial settings. Other uses, such as reproduction or republication, may require the permission of the copyright holder.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsEvent
Type
Permission or license
AssociatedObject
Type
License
Name
Multiple author license v. 1
Detail
I hereby grant to Rutgers, The State University of New Jersey (Rutgers) the non-exclusive right to retain, reproduce, and distribute the deposited work (Work) in whole or in part, in and from its electronic format, without fee. This agreement does not represent a transfer of copyright to Rutgers.Rutgers may make and keep more than one copy of the Work for purposes of security, backup, preservation, and access and may migrate the Work to any medium or format for the purpose of preservation and access in the future. Rutgers will not make any alteration, other than as allowed by this agreement, to the Work.I represent and warrant to Rutgers that the Work is my original work. I also represent that the Work does not, to the best of my knowledge, infringe or violate any rights of others.I further represent and warrant that I have obtained all necessary rights to permit Rutgers to reproduce and distribute the Work and that any third-party owned content is clearly identified and acknowledged within the Work.By granting this license, I acknowledge that I have read and agreed to the terms of this agreement and all related RUcore and Rutgers policies.
RightsEvent
Type
Permission or license receipt
DateTime (encoding = w3cdtf)
2015-03-02
AssociatedEntity
Role
Distributor
Name
arXiv
AssociatedObject
Type
Permission response
Name
Permission response for arXiv authors
Reference (type = digital)
http://dx.doi.org/10.7282/T3WQ05K3
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RULTechMD (ID = TECHNICAL1)
ContentModel
Document
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