Korn inequalities on thin periodic structures
В. В. Жиков, Svetlana Evgenievna Pastukhova · Networks and Heterogeneous Media · 2009
We prove Korn-type inequalities for thin periodic structures ofperiod $\varepsilon$ and thickness $\varepsilon h(\varepsilon)$, where $h(\varepsilon)\to 0$ as$\varepsilon\to 0$, among which there are plane grids, spatial rod and boxstructures. These inequalities are important in homogenization of correspondingelasticity problems.