Approximate impedance of a planar thin layer in couple stress elasticity

DOI10.1007/s00033-021-01581-zzbMath1476.35260OpenAlexW3175556537MaRDI QIDQ2044736

Abdelkarim Kelleche, Amirouche Berkani, Athmane Abdallaoui

Publication date: 10 August 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01581-z

zbMATH Keywords

asymptotic expansionthin layercouple stress elasticityimpedance operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear elasticity with initial stresses (74B10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)

Cites Work

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• New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation

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