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Estimating the area of extreme inclusions in Reissner-Mindlin plates

We derive upper and lower estimates of the area of unknown defects in the form of either cavities or rigid inclusions in Mindlin-Reissner elastic plates in terms of the difference $δW$ of the works exerted by boundary loads on the defected and on the reference plate. It turns out that the upper estimates depend linearly on $δW$, whereas the lower ones depend quadratically on $δW$. These results continue a line of research concerning size estimates of extreme inclusions in electric conductors, elastic bodies and plates.