Grosso, Bastien F.Mele, E. J.2016-02-162016-02-162016-02-16201510.1103/PhysRevLett.115.195501https://infoscience.epfl.ch/handle/20.500.14299/124112WOS:000364024800011The three-dimensional shapes of graphene sheets produced by nanoscale cut-and-join kirigami are studied by combining large-scale atomistic simulations with continuum elastic modeling. Lattice segments are selectively removed from a graphene sheet, and the structure is allowed to close by relaxing in the third dimension. The surface relaxation is limited by a nonzero bending modulus which produces a smoothly modulated landscape instead of the ridge-and-plateau motif found in macroscopic lattice kirigami. The resulting surface shapes and their interactions are well described by a new set of microscopic kirigami rules that resolve the competition between bending and stretching energies.text::journal::journal article::research article