Mechanical impedance of a thin layer in asymmetric elasticity.
Applied Mathematics and Computation(2018)
Abstract
In this paper, we consider a two-dimensional transmission problem of linear asymmetric elasticity in a fixed domain with a thin layer +. Our aim is to model the effect of the thin layer + on the fixed domain 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 , and we prove an error estimate.
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Key words
Impedance operator, Linear elasticity, Micropolar body, Thin layer
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