Eigenoscillations of an elastic body with a rough surface

DOI10.1007/s10808-007-0110-zzbMath1271.74175OpenAlexW2026988436MaRDI QIDQ364040

Sergueï A. Nazarov

Publication date: 5 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/s10808-007-0110-z

zbMATH Keywords

anisotropic elastic bodyasymptotic presentationsfine-grain boundary

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity ⋮ Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary ⋮ The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary

Cites Work

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• Edge effect in the bending of a thin three-dimensional plate
• Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness
• Non-homogeneous media and vibration theory
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
• Rough boundaries and wall laws
• Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
• Boundary layers and boundary hinge-support conditions for thin plates

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