Buckling problem of sandwich rectangular plates consisting of polymer-based nanocomposite layers under compressive load

In this work, buckling problem of polymer-based sandwich rectangular plates with uniform and heterogeneous (HT) reinforced layers subjected to uniaxial compressive load is investigated. First, mechanical properties of each layer of sandwich rectangular plates consisting of polymer nanocomposites are modeled according to the extended mixture rule. After the basic relations of sandwich plates consisting of polymer-based nanocomposite layers are constructed, governing equations are derived based on the assumptions of classical plate theory (CPT). The governing equations under simply supported boundary conditions are solved and analytical expression is found for the critical compressive load. The numerical calculations are made for the minimum values ​​of uniaxial critical load loads for different volume fraction ratios in the layers, four different carbon nanotube (CNT) patterns in the layers, layer alignment and various plate sizes, and these calculations are interpreted, and the generalization of the interpretations constitutes the conclusion.