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On the dynamic viscous permeability tensor symmetry
Abstract : Based on a direct generalization of a proof given by Torquato for symmetry property in static regime, this express letter clarifies the reasons why the dynamic permeability tensor is symmetric for spatially periodic structures having symmetrical axes which do not coincide with orthogonal pairs being perpendicular to the axis of three-, four-, and sixfold symmetry. This somewhat nonintuitive property is illustrated by providing detailed numerical examples for a hexagonal lattice of solid cylinders in the asymptotic and frequency dependent regimes. It may be practically useful for numerical implementation validation and∕or convergence assessment.
Cited literature [13 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-00731735
Contributor : Camille Perrot Connect in order to contact the contributor
Submitted on : Monday, September 17, 2012 - 12:02:42 PM
Last modification on : Wednesday, February 10, 2021 - 10:32:07 AM
Long-term archiving on: : Friday, December 16, 2016 - 12:27:21 PM
Contributor : Camille Perrot Connect in order to contact the contributor
Submitted on : Monday, September 17, 2012 - 12:02:42 PM
Last modification on : Wednesday, February 10, 2021 - 10:32:07 AM
Long-term archiving on: : Friday, December 16, 2016 - 12:27:21 PM
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Perrot_2008_d_Symmetry.pdf
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