An approximate homogenization scheme for nonperiodic materials

DOI10.1016/S0898-1221(97)00003-5zbMath0888.73005MaRDI QIDQ679258

Steve Shkoller

Publication date: 10 May 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorsstress concentrationsBriane's homogenization approachfibrous compositesuniform bound for gradients of periodic cell solutions

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells ⋮ Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures ⋮ Periodic homogenization of elliptic systems with stratified structure ⋮ Multiscale Models of Metallic Particles in Nematic Liquid Crystals ⋮ Subsampling and homogenization to investigate variability of composite material mechanical properties ⋮ On the homogenization of a new class of locally periodic microstructures in linear elasticity with residual stress ⋮ Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary

Cites Work

• Homogenization of a non-periodic material
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS
• Solution of Interface Problems by Homogenization. II
• Asymptotic Theory of Nonlinear Wave Propagation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item