The paper analyses boundary effect behaviour in a building partition made of a two-component layered composite. A two-dimensional model of such barrier has been adopted in which the boundary effect behaviour is described by a system of ODE’s. It has been proved that, for selected types of fluctuations, a hypothesis formulated in the end of the paper is true, i.e. a partition reacts for the presence of boundary package of fluctuations consisting of one even and two odd fluctuations merely with a typical exponentially damped transport of these boundary fluctuations. Their sinusoidal pulsations in the direction transversal to the periodicity directions are not possible. The exponential damping is maximal for components with very different material properties (values of parameters