Static stability analysis of carbon nanotube reinforced polymeric composite doubly curved micro-shell panels

The current work develops a size-dependent model to provide a comprehensive analysis of static stability in doubly curved micro-panels resting on an elastic foundation. The doubly curved panel is made of advanced composites which reinforced with carbon-based materials. A seven-unknown shear deformation theory in curvilinear coordinate is combined with a non-classical approach to obtain a suitable model to get an accurate result for mechanical performance of micro-size shells. To perform this aim, a virtual work of Hamilton statement is developed and then an analytical technique on the basis of double-Fourier series is implemented for the microshell with fully simply supported conditions in edges. Results show that, CNTs reinforced composite curved shells exhibit a hardening response under buckling. It is also showed that the greatest critical buckling load of the microshell is observed for the shell with spherical panel followed by elliptical, cylindrical, and hyperbolic panels, respectively. Moreover, change of CNTs weight fraction can significantly alter the static stability characteristics of CNTs reinforced composite curved size-dependent shells.