DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Abstract
We consider the inverse problem of
determining the possible presence of an inclusion in a thin plate
by boundary measurements. The plate is made by non-homogeneous
linearly elastic material belonging to a general class of
anisotropy. The inclusion is made by different elastic material.
Under some a priori assumptions on the unknown inclusion, we prove
constructive upper and lower estimates of the area of the unknown
defect in terms of an easily expressed quantity related to work,
which is given in terms of measurements of a couple field applied
at the boundary and of the induced transversal displacement and
its normal derivative taken at the boundary of the plate.