  An inverse problem for a stationary heat transfer process is studied for a
totally isolated bar on its lateral surface, of negligible diameter, made up of
two consecutive sections of different, isotropic and homogeneous materials. At
the left boundary, a Dirichlet type condition is imposed that represents a
constant temperature source while a Robin type condition that models the heat
dissipation by convection is considered at the right one. Many articles in the
literature focus on thermal and stress analysis at the interface but no one is
dedicated to the estimation of the contact point location between the two
materials. In this work, it is assumed that the interface position is unknown.
A technique to determine it from a unique noisy flow measurement at the right
boundary is introduced. Necessary and sufficient conditions are derived in
order to obtain the estimation of the interface point from a heat flux measured
at the right boundary. Numerical solutions are obtained together with an
expression for the estimation error. Moreover, an elasticity analysis is
included to study the influence of data errors. The results show that our
approach is useful for determining the location of the materials interface.
