Non-linear anti-symmetric shear motion: a comparative study of non-homogeneous and homogeneous plates

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dc.contributor.authorDemirkus, Dilek
dc.date.accessioned2024-03-13T10:30:41Z
dc.date.available2024-03-13T10:30:41Z
dc.date.issued2020
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this article, the non-linear anti-symmetric shear motion for some comparative studies between the non-homogeneous and homogeneous plates, having two free surfaces with stress-free, is considered. Assuming that one plate contains hyper-elastic, non-homogeneous, isotropic, and generalized neo-Hookean materials and the other one consists of hyper-elastic, homogeneous, isotropic, and generalized neo-Hookean materials. Using the method of multiple scales, the self-modulation of the non-linear anti-symmetric shear motion in these plates, as the non-linear Schrodinger (NLS) equations, can be given. Using the known solitary wave solutions, called bright and dark solitary wave solutions, to NLS equations, these comparative studies in terms of the non-homogeneous and non-linear effects are made. All numerical results, based on the asymptotic analyses, are graphically presented for the lowest anti-symmetric branches of both dispersion relations, including the deformation fields of plates.en_US
dc.identifier.doi10.1007/s00033-020-01417-2
dc.identifier.issn0044-2275
dc.identifier.issn1420-9039
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85094912104
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s00033-020-01417-2
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3493
dc.identifier.volume71en_US
dc.identifier.wosWOS:000588324200002
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofZeitschrift Fur Angewandte Mathematik Und Physiken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNon-linear SH waveen_US
dc.subjectMicro-mechanicsen_US
dc.subjectNon-homogeneous effecten_US
dc.subjectNon-linear effecten_US
dc.subjectAnti-symmetric motionen_US
dc.titleNon-linear anti-symmetric shear motion: a comparative study of non-homogeneous and homogeneous platesen_US
dc.typeArticleen_US

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