Approximate impedance of a thin layer for the second problem of the plane state of strain in the framework of asymmetric elasticity

DOI10.1007/s40819-021-01072-9zbMath1499.35087OpenAlexW3176282714MaRDI QIDQ2114931

Athmane Abdallaoui

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01072-9

zbMATH Keywords

thin layerasymmetric elasticityimpedance operatorsecond problem of plane state of strain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Asymptotic expansions of solutions to PDEs (35C20) Junctions (74K30)

Related Items (1)

Approximation of Dirichlet‐to‐Neumann operator for problems of diffraction by planar obstacles covered with thin dielectric multilayers

Cites Work

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• Mechanical impedance of a thin layer in asymmetric elasticity
• Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers
• Transfer and approximation of the impedance for time-harmonic Maxwell’s system in a planar domain with thin contrasted multi-layers
• Robust and high-order effective boundary conditions for perfectly conducting scatterers coated by a thin dielectric layer
• Implementation of High-Order Impedance Boundary Conditions in Some Integral Equation Formulations
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation

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