MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL

DOI10.1142/S0218202513500607zbMath1288.35185OpenAlexW2002139716MaRDI QIDQ5411767

Giuseppe Geymonat, Sofiane Hendili, Françoise Krasucki, Marina Vidrascu

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500607

zbMATH Keywords

numerical experimentsmulti-scalingmulti-materials

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Asymptotic expansions of solutions to PDEs (35C20) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Numerical validation of an homogenized interface model ⋮ Derivation of effective transmission conditions for domains separated by a membrane for different scaling of membrane diffusivity ⋮ Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model

Cites Work

• Asymptotic analysis of shell-like inclusions with high rigidity
• Homogenized interface model describing inhomogeneities located on a surface
• Plate-like and shell-like inclusions with high rigidity
• On Hooke's law
• Non-homogeneous media and vibration theory
• Analysis of interfaces of variable stiffness
• The effective behavior of a fiber bridged crack
• EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
• Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive
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