Bloch wave homogenization of linear elasticity system

DOI10.1051/cocv:2005018zbMath1103.35017OpenAlexW2103729522MaRDI QIDQ3365414

Muthusamy Vanninathan, Sista Sivaji Ganesh

Publication date: 23 January 2006

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2005__11_4_542_0

zbMATH Keywords

spectral gapdirectionally regular Bloch spectrum

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Methods involving semicontinuity and convergence; relaxation (49J45) Linear waves in solid mechanics (74J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity ⋮ Bloch wave homogenisation of quasiperiodic media ⋮ A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures ⋮ Homogenization of Stokes system using Bloch waves ⋮ Indentation of a periodically layered, planar, elastic half-space ⋮ Theoretical developments in the study of partial differential equations ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

Cites Work

• Non-homogeneous media and vibration theory
• An introduction to \(\Gamma\)-convergence
• Bloch-wave homogenization for a spectral problem in fluid-solid structures
• Bloch Approximation in Homogenization and Applications
• Applications of bloch expansion to periodic elastic and viscoelastic media
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Microlocal defect measures
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization limits and Wigner transforms
• Homogenization of Periodic Structures via Bloch Decomposition
• Boundary Layers in the Homogenization of a Spectral Problem in Fluid--Solid Structures
• Fourier approach to homogenization problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item