Mechanical impedance of a thin layer in asymmetric elasticity

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.