Size estimates for inclusions in an elastic plate by boundary measurements.

We consider the problem of determining, within an elastic isotropic thin plate, the possible presence of an inclusion made of 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 expressed 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.