Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams

DOI10.1007/s10659-017-9628-3zbMath1374.74015OpenAlexW2260740672MaRDI QIDQ1677102

Anastasia Migunova, Georges Griso, Julia Orlik

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s10659-017-9628-3

zbMATH Keywords

linear elasticityhomogenizationdecomposition of beam displacementsjunction between two 3D domains and beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Structured surfaces and interfaces, coexistent phases (74A50) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Junctions (74K30)

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Cites Work

• Unnamed Item
• Junction of a periodic family of elastic rods with a 3d plate. I.
• Junction of a periodic family of elastic rods with a thin plate. II.
• Decompositions of displacements of thin structures
• The periodic unfolding method for perforated domains and Neumann sieve models
• Asymptotic behaviour of curved rods by the unfolding method
• Effective Transmission Conditions for Reaction-Diffusion Processes in Domains Separated by an Interface
• Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive
• The Periodic Unfolding Method in Homogenization

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