title: 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.
authors.forename: Camille
authors.initials: C
authors.lastname: Perrot
authors.forename: Fabien
authors.initials: F
authors.lastname: Chevillotte
authors.forename: Raymond
authors.initials: R
authors.lastname: Panneton
authors.forename: Jean-François
authors.initials: JF
authors.lastname: Allard
authors.forename: Denis
authors.initials: D
authors.lastname: Lafarge
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D008962:Models, Theoretical; D009038:Motion; D010539:Permeability; D016062:Porosity; D012212:Rheology; D013997:Time Factors; D014783:Viscosity