Xu YingAn, YunzhuYunzhuAnYe QigeLiu KaiHABIBI, MOSTAFAMOSTAFAHABIBITang XingjiaLuo Yongji2025-07-222025-07-222025-03-20https://doi.org/10.1038/s41598-025-93302-zA novel foldable model is used for extending the constitutive relations of a cylindrical pressure vessel composed of the copper matrix cylinders reinforced with three-dimensional nanofillers named as graphene origami. Deformability is accounted based on the shear deformable kinematic model using the first order shear deformation theory. The overall material characteristics are evaluated using the Halpin–Tsai micromechanical models and rule of mixture. The governing equations are derived using the virtual work principle. Nanofiller characteristics dependent results are obtained using the analytical method. The results show an enhancement in the deformation and stress components with an enhancement in the foldability parameter and thermal loads as well as decrease in volume fraction.enDeformable modelFoldable metamaterialsNanofillersPipeline vesselsThermal and mechanical loadstext::journal::journal article