Lamb waves in multilayered media: 3D and 6D formalisms

Lamb waves in multilayered media: 3D and 6D formalisms

A mathematical model for analyzing Lamb waves propagating in stratified media with arbitrary elastic anisotropy is worked out. The model incorporates a combined Fundamental Matrix (FM) and Modified Transfer Matrix (MTM) methods. Multilayered unbounded plates with different types of boundary conditio...

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Main Authors: Avershyeva Anna, Kuznetsov Sergey
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/23/e3sconf_form2018_03003.pdf
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spelling doaj-1345f1b96e85427cac7985cabc61b0bd2021-02-02T01:54:21ZengEDP SciencesE3S Web of Conferences2267-12422019-01-01970300310.1051/e3sconf/20199703003e3sconf_form2018_03003Lamb waves in multilayered media: 3D and 6D formalismsAvershyeva Anna0Kuznetsov SergeyMoscow State University of Civil EngineeringA mathematical model for analyzing Lamb waves propagating in stratified media with arbitrary elastic anisotropy is worked out. The model incorporates a combined Fundamental Matrix (FM) and Modified Transfer Matrix (MTM) methods. Multilayered unbounded plates with different types of boundary conditions imposed on the outer surfaces are considered. Closed form fundamental matrices and secular equations for dispersion relations are derived.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/23/e3sconf_form2018_03003.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Avershyeva Anna
Kuznetsov Sergey
spellingShingle Avershyeva Anna
Kuznetsov Sergey
Lamb waves in multilayered media: 3D and 6D formalisms
E3S Web of Conferences
author_facet Avershyeva Anna
Kuznetsov Sergey
author_sort Avershyeva Anna
title Lamb waves in multilayered media: 3D and 6D formalisms
title_short Lamb waves in multilayered media: 3D and 6D formalisms
title_full Lamb waves in multilayered media: 3D and 6D formalisms
title_fullStr Lamb waves in multilayered media: 3D and 6D formalisms
title_full_unstemmed Lamb waves in multilayered media: 3D and 6D formalisms
title_sort lamb waves in multilayered media: 3d and 6d formalisms
publisher EDP Sciences
series E3S Web of Conferences
issn 2267-1242
publishDate 2019-01-01
description A mathematical model for analyzing Lamb waves propagating in stratified media with arbitrary elastic anisotropy is worked out. The model incorporates a combined Fundamental Matrix (FM) and Modified Transfer Matrix (MTM) methods. Multilayered unbounded plates with different types of boundary conditions imposed on the outer surfaces are considered. Closed form fundamental matrices and secular equations for dispersion relations are derived.
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/23/e3sconf_form2018_03003.pdf
work_keys_str_mv AT avershyevaanna lambwavesinmultilayeredmedia3dand6dformalisms
AT kuznetsovsergey lambwavesinmultilayeredmedia3dand6dformalisms
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