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Effective Willis constitutive equations for periodically stratified anisotropic elastic media

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Text
TitleInfo
Title
Effective Willis constitutive equations for periodically stratified anisotropic elastic media
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)
Shuvalov
NamePart (type = given)
A. L.
Affiliation
Université de Bordeaux
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)
Poncelet
NamePart (type = given)
O.
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
Note (type = general note)
Received July 22, 2010; accepted December 15, 2010; published online April 21, 2011. Manuscript dated December 21, 2013.
OriginInfo
DateCreated (encoding = w3cdtf); (keyDate = no); (qualifier = exact)
2010
Publisher
Royal Society
DateIssued (encoding = w3cdtf); (keyDate = yes)
2011
Abstract (type = Abstract)
A method to derive homogeneous effective constitutive equations for periodically layered elastic media is proposed. The crucial and novel idea underlying the procedure is that the coefficients of the dynamic effective medium can be associated with the matrix logarithm of the propagator over a unit period. The effective homogeneous equations are shown to have the structure of a Willis material, characterized by anisotropic inertia and coupling between momentum and strain, in addition to effective elastic constants. Expressions are presented for the Willis material parameters which are formally valid at any frequency and horizontal wavenumber as long as the matrix logarithm is well defined. The general theory is exemplified for scalar SH motion. Low frequency, long wavelength expansions of the effective material parameters are also developed using a Magnus series and explicit estimates for the rate of convergence are derived.
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
PhysicalDescription
InternetMediaType
application/pdf
Extent
21 p.
Extension
DescriptiveEvent
Type
Citation
DateTime (encoding = w3cdtf)
2011
AssociatedObject
Name
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Type
Journal
Relationship
Has part
Detail
1749-1769
Identifier (type = volume and issue)
467(2130)
Reference (type = url)
http://dx.doi.org/10.1098/rspa.2010.0389
Extension
DescriptiveEvent
Type
Grant award
AssociatedEntity
Role
Funder
Name
France. Agence nationale de la recherche
AssociatedObject
Type
Grant number
Name
ANR-08-BLAN-0101- 01
Extension
DescriptiveEvent
Type
Grant award
Detail
"This work has been supported ... by the project SAMM (Self-Assembled MetaMaterials) from the cluster AMA (Advanced Materials in Aquitaine)."
AssociatedEntity
Role
Funder
Name
SAMM (Self-Assembled MetaMaterials)
Subject (authority = local)
Topic
Wave motion
RelatedItem (type = has document)
TitleInfo
Title
arXiv. SOAR-blanket permission to share arXiv documents through IR at author's directive
Identifier (type = doi)
http://dx.doi.org/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/T33F4RBM
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 research
DateTime (encoding = w3cdtf)
2015-09-04
AssociatedEntity
Role
Librarian
Name
Jane Otto
Detail
Journal not listed in SHERPA/RoMEO. "Authors may deposit a pre-print of their article in a repository at any time. A final, accepted manuscript version (post-print) may be deposited in an institutional or not-for-profit repository once accepted for publication, however access to the full text must be embargoed for 12 months from publication. For more information, please see our licence to publish."--Publisher website, https://royalsociety.org/journals/authors/open-access/
RightsEvent
Type
Permission or license
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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