Homogenized interface model describing inhomogeneities located on a surface

DOI10.1007/s10659-012-9374-5zbMath1261.35010OpenAlexW2083436003MaRDI QIDQ693184

M. C. Fu

Publication date: 7 December 2012

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-012-9374-5

zbMATH Keywords

matched asymptotic expansionseffective limit problemslinear elastic mediumseparation of scales

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Effective constitutive equations in solid mechanics (74Q15) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (10)

Damping in a row of locally-resonant inclusions: dynamic homogenization and scattering of transient shear waves ⋮ Models of thin interphases and the effective medium approximation in composite media with curvilinearly anisotropic coated inclusions ⋮ Effective dynamic properties of a row of elastic inclusions: the case of scalar shear waves ⋮ Second Order Homogenization of Subwavelength Stratified Media Including Finite Size Effect ⋮ Time-domain simulation of wave propagation across resonant meta-interfaces ⋮ Numerical validation of an homogenized interface model ⋮ Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions ⋮ MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL ⋮ Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model ⋮ Shape Derivative for Some Eigenvalue Functionals in Elasticity Theory

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