Estimating area of inclusions in anisotropic plates from boundary data

Details Estimating area of inclusions in anisotropic plates from boundary data Estimating area of inclusions in anisotropic plates from boundary data

2011-09-15

arxiv.org/abs/1109.3397v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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