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Thermal buckling analysis of agglomerated multiscale hybrid nanocomposites via a refined beam theory

Abstract Application of a newly developed refined higher-order beam theory in the thermal buckling problem of a multiscale hybrid nanocomposite beam is shown here with respect to effect of nanofillers aggregation for the first time. In this research, a mixture of macro and nanoscale fillers will be utilized to be dispersed in an initial matrix to possess a multiscale hybrid nanocomposite. The equivalent material properties are seemed to be calculated coupling the Eshelby-Mori-Tanaka model with the rule of mixture to consider the effects of CNTs inside the probably generated clusters while finding the mechanical properties of such novel hybrid nanocomposites. Furthermore, an energy based approach is implemented to obtain the governing equations of the problem utilizing a refined higher-order plate theorem. Next, the derived equations will be solved in the framework of Galerkin’s well-known analytical method to reach the critical buckling load. It is worth mentioning that influence of various boundary conditions is included. Once the validity of presented results is proven, a set of numerical examples are presented to explain how each variant can affect the buckling behaviors of the structure.