Boundary Layers on the Upper/Lower Surfaces of Reinforced Plates

The periodicity-cell problems of homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature of the periodicity cells of the plates is the presence of free surfaces in them. As follows from our calculations, boundary layers appear on free surfaces. Th...

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Bibliographic Details
Published in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2022-09, Vol.55 (3), p.257-266
Main Authors: Annin, B. D., Kolpakov, A. G., Rakin, S. I.
Format: Article
Language:English
Subjects:
Analysis
Boundary layers
Fiber reinforced materials
Free surfaces
Mathematics
Mathematics and Statistics
Reinforced plates
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Summary:The periodicity-cell problems of homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature of the periodicity cells of the plates is the presence of free surfaces in them. As follows from our calculations, boundary layers appear on free surfaces. The characteristics of these boundary layers for unidirectional and cross-ply plates are investigated.
ISSN:1063-4541
1934-7855
DOI:10.1134/S1063454122030037