Show simple item record Avila-Pozos, Orlando Mishuris, Gennady Movchan, Alexander 2010-11-26T20:37:27Z 2010-11-26T20:37:27Z 2010-09-01
dc.identifier.citation Avila-Pozos , O , Mishuris , G & Movchan , A 2010 , ' Bloch–Floquet waves and localisation within a heterogeneous waveguide with long cracks ' Continuum Mechanics and Thermodynamics , vol 22 , no. 6-8 , pp. 545-553 . , 10.1007/s00161-010-0140-2 en
dc.identifier.issn 1432-0959
dc.identifier.other PURE: 154157
dc.identifier.other dspace: 2160/5953
dc.description Special Issue in honour of Leonid Slepyan en
dc.description.abstract A bi-material waveguide is assumed to have an array of sufficiently long cracks parallel to the boundaries. The Bloch–Floquet waves propagating along such a waveguide are dispersive, and the band gaps are clearly identified. Slow waves are supported by a system of long cracks, and such modes are represented by the flat dispersion surfaces. Asymptotic analysis combines a lower-dimensional approximation together with the boundary layers occurring near the crack tips. Stress intensity factors are evaluated via the boundary layer analysis, which is matched with the outer fields corresponding to the lower-dimensional model. Evolution of such an elastic system is discussed as the cracks grow as a consequence of the stress concentration, which occurs for some slow waves leading to the crack opening. The asymptotic analysis is supplied with numerical simulations and physical examples. en
dc.format.extent 9 en
dc.language.iso eng
dc.relation.ispartof Continuum Mechanics and Thermodynamics en
dc.subject Bloch-Floquet waves en
dc.subject Band gap structure en
dc.subject Asymptotic analysis en
dc.subject Cracks en
dc.title Bloch–Floquet waves and localisation within a heterogeneous waveguide with long cracks en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en

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