Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
The author considers a problem of elasticity theory on thin periodic box and rod frames whose geometry depends on two small parameters \(\epsilon\), \(h(\epsilon)\) related to each other determining the cell of periodicity and the thickness of components. The homogenization corresponding problem is studied by the periodic measures method of V. V. Zhikov in the critical case where \(\lim_{\epsilon \rightarrow 0} \frac{h(\epsilon)}{\epsilon} = \theta > 0\).
scientific article; zbMATH DE number 5000641