On modeling interfaces in linear micropolar composites

This paper describes the mechanical behavior of two linear micropolar solids, bonded together by a thin plate-like layer, constituted of a linear micropolar material, determined by means of an asymptotic analysis. After defining a small parameter ε, which will tend to zero, associated with the thickness and the constitutive coefficients of the intermediate layer, we characterize two different limit models and their associated limit problems, the so-called weak and strong micropolar interface models, respectively. Moreover, we identify the nonclassical transmission conditions at the interface between the two three-dimensional bodies in terms of the increases in the stresses, coupling stresses, displacements, and microrotations. Finally, we prove that the solution of the original problems strongly converges toward the solution of the limit problems, as ε tends to zero.