Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface

DOI10.1007/s10808-010-0018-xzbMath1272.74341OpenAlexW2057392255MaRDI QIDQ369054

Sergueï A. Nazarov

Publication date: 24 September 2013

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10808-010-0018-x

zbMATH Keywords

gapcontinuous spectrumelastic waveguide

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10)

Related Items (2)

Localized elastic fields in periodic waveguides with defects ⋮ Spectral gaps for periodic piezoelectric waveguides

Cites Work

• Spectral theory of Laplace-Beltrami operators with periodic metrics
• Elliptic problems in domains with piecewise smooth boundaries
• Gaps in the spectrum of the Maxwell operator with periodic coefficients
• Elastic waves localized near periodic families of defects
• Exponentially decreasing solutions of diffraction problems on a rigid periodic boundary
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
• Edge resonance in an elastic semi-strip
• Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II
• Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. I
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Existence theorems for trapped modes
• Spectral properties of periodic media in the large coupling limit
• ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
• Floquet theory for partial differential equations
• Floquet theory for partial differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface