English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This papers investigates the scattering of oblique shear horizontal (SH)waves off finite periodic media made of elastic and viscoelastic layers. Itfurther considers whether a Willis-type constitutive matrix (in temporal andspatial Fourier domain) may reproduce the scattering matrix (SM) of such asystem. In answering this question the procedure to determine the relevantoverall constitutive parameters for such a medium is presented. To do this,first the general form of the dispersion relation and impedances for oblique SHpropagation in such coupled Willis-type media are developed. The band structureand scattering of layered media are calculated using the transfer matrix (TM)method. The dispersion relation may be derived based on the eigensolutions ofan infinite periodic domain. The wave impedances associated with the exteriorsurfaces of a finite thickness slab are extracted from the scattering of such asystem. Based on reciprocity and available symmetries of the structure and eachconstituent layer, the general form of the dispersion and impedances may besimplified. The overall quantities may be extracted by equating the scatteringdata from TM with those expected from a Willis-type medium. It becomes evidentthat a Willis-type coupled constitutive tensor with components that are assumedindependent of wave vector is unable to reproduce all oblique scattering data.Therefore, non-unique wave vector dependent formulations are introduced, whoseSM matches that of the layered media exactly. It is further shown that thedependence of the overall constitutive tensors of such systems on the wavevector is not removable even at very small frequencies and incidence angles andthat analytical considerations significantly limit the potential forms of thespatially dispersive constitutive tensors.

Overall constitutive description of symmetric layered media based on scattering of oblique SH waves