A notion of capacity related to elasticity: applications to homogenization

DOI10.1007/s00205-011-0448-5zbMath1284.74012OpenAlexW2064902821MaRDI QIDQ715354

Michel Bellieud

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-011-0448-5

zbMATH Keywords

linearized elasticityinitial boundary value problemtwo-phase mediumstrain energy concentration

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (7)

Homogenization of Stratified Elastic Composites with High Contrast ⋮ Capacitary problems in viscoplasticity with torsion effects. ⋮ Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation ⋮ Homogenization of an anisotropic elastic material reinforced by a small volume fraction of very stiff anisotropic fibers. Non local effects. Bending effects. Torsional effects ⋮ Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers ⋮ Asymptotic analysis of a linear isotropic elastic composite reinforced by a thin layer of periodically distributed isotropic parallel stiff fibres ⋮ Homogenization of Norton--Hoff Fibered Composites with High Viscosity Contrast

Cites Work

• Vibrations of an elastic composite with very heavy inclusions: memory effects
• The main elastic capacities of a spheroid
• Compact sets in the space \(L^ p(0,T;B)\)
• Capacity methods in the theory of partial differential equations
• A capacity method for the study of Dirichlet problems for elliptic systems in varying domains
• Asymptotic analysis of periodically-perforated nonlinear media.
• Homogenization of the Stokes equations with high-contrast viscosity.
• Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects
• Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Torsion Effects in Elastic Composites with High Contrast
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Homogenization of evolution problems for a composite medium with very small and heavy inclusions
• Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS
• Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers
• Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A notion of capacity related to elasticity: applications to homogenization