- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (1)
- Authors
- Shumilova, Vladlena V.
- Contact information
- Shumilova, Vladlena V.: Ishlinsky Institute for Problems in Mechanics RAS Moscow, Russian Federation; OCRID: 0000-0003-3830-7924
- Keywords
- spectrum; eigenoscillations; layered composite
- Abstract
The spectrum of one-dimensional eigenoscillations of two-phase composites with a periodic structure is studied. Their phases are isotropic elastic or viscoelastic materials, and the period consists of 2M alternating plane layers of the first and second phases. Equations whose roots form the spectrum are derived and their asymptotic behaviour is investigated. In particular, it is established that all finite limits of sequences of the spectrum points depend on the volume fractions of the phases and do not depend on the number M and distances between the layers boundaries inside the period
- Pages
- 35–47
- EDN
- KYZYOU
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149772
Journal of Siberian Federal University. Mathematics & Physics / Spectrum of One-dimensional Eigenoscillations of Two-phase Layered Composites
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