Maximum entropy principle; Meshfree; Meshless; Reissner-Mindlin plates; Shear-locking; Basis functions; Bench-mark problems; Dirichlet; Finite Element; LEC; Locking-free; Maximum-entropy; Mesh-free method; Mixed variational formulation; Moving least squares; Benchmarking; Mindlin plates; Maximum entropy methods
[en] The problem of shear-locking in the thin-plate limit is a well known issue that must be overcome when discretising the Reissner-Mindlin plate equations. In this paper we present a shear-locking-free method utilising meshfree maximum-entropy basis functions and rotated Raviart-Thomas-Nédélec elements within a mixed variational formulation. The formulation draws upon well known techniques in the finite element literature. Due to the inherent properties of the maximum-entropy basis functions our method allows for the direct imposition of Dirichlet (essential) boundary conditions, in contrast to methods based on moving least squares basis functions. We present benchmark problems that demonstrate the accuracy and performance of the proposed method. © 2012.