Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity
From MaRDI portal
Publication:1635934
DOI10.1007/s00033-018-0927-8zbMath1402.35033OpenAlexW2792507704MaRDI QIDQ1635934
Publication date: 1 June 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-0927-8
Classical linear elasticity (74B05) Scattering theory for PDEs (35P25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN ⋮ Pointwise fixation along the edge of a Kirchhoff plate ⋮ Spectral Homogenization Problems in Linear Elasticity with Large Reaction Terms Concentrated in Small Regions of the Boundary ⋮ Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation ⋮ Steklov eigenvalues for the Lamé operator in linear elasticity ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ Boundary homogenization with large reaction terms on a strainer-type wall
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenoscillations of an elastic body with a rough surface
- Asymptotic analysis and scaling of friction parameters
- On the asymptotic derivation of Winkler-type energies from 3D elasticity
- Local problems for vibrating systems with concentrated masses: a review
- Elliptic problems in domains with piecewise smooth boundaries
- On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
- Spectral geometry of the Steklov problem (survey article)
- On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
- Homogenization of spectral problems with singular perturbation of the Steklov condition
- Homogénéisation de frontières par épi-convergence en élasticité linéaire
- The Legacy of Vladimir Andreevich Steklov
- Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
- Bloch wave homogenization of linear elasticity system
- Γ-convergence for a fault model with slip-weakening friction and periodic barriers
- Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries
- Long time approximations for solutions of wave equations associated with the Steklov spectral homogenization problems
- Asymptotic behaviour of an elastic body with a surface having small stuck regions
- ELLIPTIC BOUNDARY VALUE PROBLEMS WITH PERIODIC COEFFICIENTS IN A CYLINDER
- Applications of bloch expansion to periodic elastic and viscoelastic media
- Homogénéisation de frontière en élasticité linéaire
- The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
- Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media
- Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps
- Regular degeneration and boundary layer for linear differential equations with small parameter
- Floquet theory for partial differential equations
- Floquet theory for partial differential equations
