Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface

In this work, a bar fully insulated on its lateral surface. composed by two different unknown materials is considered. For the analytical solution, it assumed perfectly assembly solid-solid interface, so no heat loss due to friction present. This an ideal scenario, and possible measurement errors are included simulating noisy data for estimation of thermal conductivity materials. A stationary transfer process along considered where Dirichlet condition imposed at left that represents source constant temperature. At other end bar, Robin models dissipation convection, assumed. The coefficients both solids determined under situations: a) temperature measurements available, one interface right boundary; b) flow edge given. bounds in identification obtained based measurements, room values boundary interface. Numerical examples given illustrate ideas used parameter elasticity analysis carried out measure dependence estimated parameters.