Mechanical impedance of a thin layer in asymmetric elasticity

DOI10.1016/j.amc.2017.08.045zbMath1426.74045OpenAlexW2760610202MaRDI QIDQ1740443

Athmane Abdallaoui, Keddour Lemrabet

Publication date: 30 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.08.045

zbMATH Keywords

linear elasticitythin layerimpedance operatormicropolar body

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Scattering theory for PDEs (35P25) Polar materials (74A35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers, Asymptotic modeling of a reinforced plate with a thin layer of variable thickness, Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3, Mathematical modeling of the effect of an insulating stiffener on a nonlinear thermo-elastic plate, Asymptotic modeling of the behavior of a reinforced plate governed by a full von Karman thermo-elastic system with nonlinear thermal coupling, Approximate impedance of a planar thin layer in couple stress elasticity, Approximate impedance of a thin layer for the second problem of the plane state of strain in the framework of asymmetric elasticity

Cites Work

• Study of the limit of transmission problems in a thin layer by the sum theory of linear operators
• Multi-scale asymptotic expansion for a singular problem of a free plate with thin stiffener
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
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