In this manuscript, buckling of carbon nanotubes reinforced circular cylindrical composite shell under hydrostatic presser with its ends closed by rigid disks is investigated, using Fourier decomposition and the Galerkin method. The accuracy of the utilized method is verified with previous research in buckling behavior of circular cylindrical shells. Both types of functionally graded and uniform distribution patterns of carbon nanotubes are studied. The novelty of this study is investigating the influence of carbon nanotubes distribution type and volume fraction on buckling resistance of carbon nanotubes reinforced circular cylindrical composite shell. Furthermore, the effect of material type and volume fraction of metal layers on fiber metal laminates is illustrated. The results show that buckling resistance of composite cylindrical shells increase about 10% by reinforcing with 5% carbon nanotubes. Also, it is shown that metal types Az91 and Ti6AlV have about same effect on buckling resistance of fiber metal laminates cylinders, and their effect are about 15% more than the effect of Al2024. With exploiting the executed analysis, pipes with optimum buckling resistance to weight ratio can be designed for hydrostatic loading.
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