caa a22 4500 445812222 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00419-010-0469-9 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0469-9 Small-scale effects on the buckling of quadrilateral nanoplates based on nonlocal elasticity theory using the Galerkin method [Elektronische Daten] [H. Babaei, A. Shahidi] The elastic buckling behavior of quadrilateral single-layered graphene sheets (SLGS) under bi-axial compression is studied employing nonlocal continuum mechanics. Small-scale effects are taken into consideration. The principle of virtual work is employed to derive the governing equations. The Galerkin method in conjunction with the natural coordinates of the nanoplate is used as a basis for the analysis. The buckling load of skew, rhombic, trapezoidal, and rectangular nanoplates considering various geometrical parameters are obtained. It is shown that nonlocal effects are very important in arbitrary quadrilateral graphene sheets and their inclusion results in smaller buckling loads. Also the effects of geometrical parameters such as aspect ratio, angle, and mode number on the buckling load decrease when scale coefficient increases, for all arbitrary quadrilateral SLGS. Springer-Verlag, 2010 Small scale nationallicence Buckling nationallicence Quadrilateral graphene sheet nationallicence Nonlocal elasticity theory nationallicence Galerkin method nationallicence Babaei H. Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran aut Shahidi A. Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran aut Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1051-1062 0939-1533 81:8<1051 2011 81 419 https://doi.org/10.1007/s00419-010-0469-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0469-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Babaei H. Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran aut NATIONALLICENCE 700 1- Shahidi A. Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1051-1062 0939-1533 81:8<1051 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer