On the Dyadic Scattering Problem in Three-Dimensional Gradient Elasticity: Analytic Approach
dc.contributor.author | Charalambopoulos, A. | en |
dc.contributor.author | Gergidis, L. N. | en |
dc.date.accessioned | 2015-11-24T17:36:46Z | |
dc.date.available | 2015-11-24T17:36:46Z | |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/14282 | |
dc.rights | Default Licence | - |
dc.title | On the Dyadic Scattering Problem in Three-Dimensional Gradient Elasticity: Analytic Approach | en |
heal.abstract | The investigation of the direct scattering problem of an elastic dyadic incident field from a spherical inclusion, is the main outcome of this work, in the case that the scatterer and the host environment dispose microstructure. The framework of the method is based on the implication of Mindlin s gradient theory. The development of the method is fully analytic and gives successively several byproducts, which are indispensable for the solution of the scattering problem but constitute also independent results of their own theoretical and practical value. So the numerable set of Navier eigendyadics is constructed, which is proved to be a basis for every dyadic field obeying to dynamic gradient elasticity equation. This permits the construction of a useful spectral representation for every gradient elasticity field. Furthermore, the set of dyadic spherical harmonics is built, which stands for the extension of the well known spherical vector harmonics to the dyadic realm. Every dyadic field restricted on the unit sphere can be expanded in terms of these spherical dyadic harmonics. The orthogonality relations of these functions are determined in close form and this is the prerequisite for the fully analytic treatment of the boundary conditions involving the scattering problem under consideration. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.journalName | Journal of Physics a-Mathematical and Theoretical | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2008 | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικών | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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