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 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.