Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes
DOI10.1007/s00526-020-01862-xzbMath1456.35020arXiv2007.03333OpenAlexW3095721024WikidataQ115386978 ScholiaQ115386978MaRDI QIDQ2217805
Publication date: 14 January 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.03333
Classical linear elasticity (74B05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Green's functions for elliptic equations (35J08) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectroscopic imaging of a dilute cell suspension
- Homogenization of randomly deformed conductivity resistant membranes
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Boundary value problems for the systems of elastostatics in Lipschitz domains
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Homogenization in open sets with holes
- Non-homogeneous media and vibration theory
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- Boundary layers and homogenization of transport processes
- The Dirichlet problem for the Stokes system on Lipschitz domains
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
- Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes
- Effective viscosity properties of dilute suspensions of arbitrarily shaped particles
- A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains
This page was built for publication: Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes