论文标题
估计Reissner-Mindlin板中极端夹杂物的面积
Estimating the area of extreme inclusions in Reissner-Mindlin plates
论文作者
论文摘要
我们以Mindlin-Reissner弹性板的形式得出了未知缺陷面积的上和下部估计值，该弹药或刚性夹杂物在缺陷板和参考板上的边界负载所施加的作品的差$ΔW$方面。事实证明，上部估计值在$ΔW$上线性取决于$ΔW$，而较低的估计值则依赖于$ΔW$。这些结果继续进行了一系列研究，涉及电导体，弹性体和板中极端夹杂物的大小估计。
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.
