Dependence of temperature fluctuations on randomized material properties in two-component periodic laminate

The purpose of this investigation is to study extremal values of temperature fluctuations occurring on interfaces in two-component periodic laminate, caused by unidirectional heat flow during steady state. It is well known that for a heat flow problem, perpendicular to the laminae, the averaged temperature depends only on boundary conditions. The temperature oscillations are more complex function, since they depend also on material properties, or theirs ratio, to be precise. If we consider this ratio as random variable then function values of temperature fluctuation occur to be random variable as well. Knowing the relative error (coefficient of variation) in determination of conductivities ratio and its expected value, an interesting would be as well the value of relative error of studied function, and whether is it smaller value or not. We shall conduct numerical experiments by Monte-Carlo method in order to answer that question.