Mechanical impedance of a thin layer in asymmetric elasticity

Athmane Abdallaoui and Keddour Lemrabet

Applied Mathematics and Computation, 2018, vol. 316, issue C, 467-479

Abstract: In this paper, we consider a two-dimensional transmission problem of linear asymmetric elasticity in a fixed domain Ω− with a thin layer Ω+δ. Our aim is to model the effect of the thin layer Ω+δ on the fixed domain Ω− by an impedance boundary condition using the techniques of asymptotic expansion. The transmission problem is then approached by an approximate impedance problem posed in the fixed domain Ω−, and we prove an error estimate.

Keywords: Linear elasticity; Micropolar body; Thin layer; Impedance operator (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:467-479

DOI: 10.1016/j.amc.2017.08.045

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