On the problems of microperiodic multilayered elastic plates (Q1117737)

The purpose of this paper is to apply the microlocal parameters approach to the modelling of microperiodic two-layered elastic plates. This powerful method of homogenization based on certain concepts of the nonstandard analysis and some postulated a priori physical assumptions was used in our previous study [the authors, (*) Microlocal parameters in a modeling of microperiodic multilayered elastic plates (to appear)] to obtain the governing equations of homogenized models of periodic multilayered elastic plates. In this paper basing on the results given in (*) we present the homogenized model with microlocal parameters in the case of microperiodic two-layered elastic plates. The relations between twisting and bending moments, shearing forces and deflections are also given. Finally, an example of the periodically laminated plate is discussed.