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dc.contributor.author
Santos, Juan Enrique
dc.contributor.author
Carcione, Jose M.
dc.contributor.author
Picotti, Stefano
dc.date.available
2023-02-24T16:45:29Z
dc.date.issued
2011-02
dc.identifier.citation
Santos, Juan Enrique; Carcione, Jose M.; Picotti, Stefano; Viscoelastic-stiffness tensor of anisotropic media from oscillatory numerical experiments; Elsevier Science SA; Computer Methods in Applied Mechanics and Engineering; 200; 9-12; 2-2011; 896-904
dc.identifier.issn
0045-7825
dc.identifier.uri
http://hdl.handle.net/11336/188809
dc.description.abstract
A finely layered media behaves as an anisotropic medium when the dominat wavelengths are much larger than the layer thickness. If the constituent are anelastic, a generalization of Backus averaging predicts that the medium is effectively a transversely isotropic viscoelastic (TIV) medium. To test and validate the theory, we present a novel procedure to determine the complex and frequency-dependent stiffness components of a TIV medium. The methodology consists in performing numerical compressibility and shear harmonic tests on a representative sample of the material. These tests are described by a collection of non-coercive elliptic boundary-value problems formulated in the space-frequency domain, which are solved using a Galerkin finite-element procedure. Results on the existence and uniqueness of the continuous and discrete problems as well as optimal error estimates for the Galerkin finite-element method are derived. Numerical examples illustrates the implementation of the numerical oscillatory tests to determine the set of complex and frequency-dependent effective TIV coefficients and the associated phase velocities and quality factors for a periodic sequence of epoxy and glass thin layers. The results are compared to the analytical phase velocities and quality factors predicted by the Backus/Carcione theory.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science SA
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ANISOTROPY
dc.subject
FINITE ELEMENTS
dc.subject
OSCILLATORY NUMERICAL EXPERIMENTS
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STIFFNESS TENSOR
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VISCOELASTICITY
dc.subject.classification
Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Viscoelastic-stiffness tensor of anisotropic media from oscillatory numerical experiments
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-02-21T22:17:41Z
dc.journal.volume
200
dc.journal.number
9-12
dc.journal.pagination
896-904
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Santos, Juan Enrique. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Purdue University; Estados Unidos
dc.description.fil
Fil: Carcione, Jose M.. Istituto Nazionale di Oceanografia e Geofisica Sperimentale; Italia
dc.description.fil
Fil: Picotti, Stefano. Istituto Nazionale di Oceanografia e Geofisica Sperimentale; Italia
dc.journal.title
Computer Methods in Applied Mechanics and Engineering
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S004578251000321X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2010.11.008
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