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 $\delta W$ 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 $\delta W$, whereas the lower ones depend quadratically on $\delta W$. These results continue a line of research concerning size estimates of extreme inclusions in electric conductors, elastic bodies and plates.

中文翻译：

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估计 Reissner-Mindlin 板块中极端包裹体的面积

我们根据差异对 Mindlin-Reissner 弹性板中空腔或刚性夹杂物形式的未知缺陷面积进行了上下估计$\delta W$边界荷载作用在缺陷板上和参考板上的功。事实证明，上估计线性依赖于$\delta W$，而较低的依赖于$\delta W$. 这些结果延续了关于电导体、弹性体和板中极端夹杂物尺寸估计的一系列研究。