ESTIMATING AREA OF INCLUSIONS IN ANISOTROPIC PLATES FROM BOUNDARY DATA

We consider the inverse problem of determining the possible pres- ence 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 dierent 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 measure- ments of a couple eld applied at the boundary and of the induced transversal displacement and its normal derivative taken at the boundary of the plate.