X L Chen and K M Liew 2004 Smart Mater. Struct. 13 1430 doi:10.1088/0964-1726/13/6/014
X L Chen1 and K M Liew1,2,3
Show affiliationsIn this paper, the buckling behavior of functionally graded material (FGM) rectangular plates subjected to pin loads, partial uniform loads and parabolic loads is studied using the mesh-free method based on the radial basis function. The proposed mesh-free method approximates displacements based on scattered nodes, thus it can avoid the disadvantages that arise in the finite element method (FEM) from the use of elements. Variational forms of the system equations for the calculation of non-uniform prebuckling stress distribution and buckling loads of the plate are established. Two-step solution procedures are implemented. First the non-uniform prebuckling stresses are obtained based on a two-dimensional (2D) elastic plane stress problem. Then buckling loads of plates with the predetermined non-uniform prebuckling stresses are calculated based on Mindlin's plate assumption. Selected numerical examples are presented to validate the proposed mesh-free method.
46.32.+x Static buckling and instability
81.40.Lm Deformation, plasticity, and creep
46.70.De Beams, plates and shells
62.20.F- Deformation and plasticity
81.70.Bt Mechanical testing, impact tests, static and dynamic loads
Issue 6 (December 2004)
Received 20 November 2003, in final form 6 July 2004
Published 9 November 2004
X L Chen and K M Liew 2004 Smart Mater. Struct. 13 1430
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