Article detail · 2018
Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate
- Year
- 2018
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Mathematics and Mechanics of Solids
- Catalog match (ISSN) Mathematics and Mechanics of Solids
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is analysed. Two types of contrast are considered, including those for composite structures with thick or thin stiff outer layers. In both cases, the value of the cut-off frequency corresponding to the lowest antisymmetric vibration mode tends to zero. For this mode, the shortened dispersion relations and the associated formulae for displacement and stresses are obtained. The latter motivate the choice of appropriate settings, supporting the limiting forms of the original anti-plane problem. The asymptotic equation derived for a three-layered plate with thick faces is valid over the whole low-frequency range, whereas the range of validity of its counterpart for another type of contrast is restricted to a narrow vicinity of the cut-off frequency.
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Citations
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67 citations
OpenAlex cited_by_count (cache / database)
21 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- The lowest vibration modes of an elastic beam composed of alternating stiff and soft components 2019
- Antisymmetric bright solitary SH waves in a nonlinear heterogeneous plate 2018
- Existence of solitary SH waves in a heterogeneous elastic two-layered plate 2022
- Non-linear anti-symmetric shear motion: a comparative study of non-homogeneous and homogeneous plates 2020
- Symmetric bright solitary SH waves in a nonlinear heterogeneous plate 2019
- Nonlinear dark solitary SH waves in a heterogeneous layer 2019
- Symmetric dark solitary SH waves in a nonlinear heterogeneous plate 2019
- Low frequency antiplane shear vibrations of a three-layered elastic plate 2018
- Antisymmetric dark solitary SH waves in a nonlinear heterogeneous plate 2019
- The effect of boundary conditions on the lowest vibration modes of strongly inhomogeneous beams 2019