A comparison between distinct meshless methods is performed. The Element Free Galerkin Method (EFGM) , witch uses approximant functions, the Radial Point Inte~olationM ethod (RPIM)  and the Natural Neiehbour Radial Point Interpolation Method (NNRF’M. both usine interpolation functons, are the compared meshless methods. A Reissner-Mindlin laminate theory, which is a first- order shear deformation theory (FSDT) is considered in order to define the displacement field and the strain field. The basic equations of the Reissner-Mindlin laminates theory are presented and a descrintion of the shane functions to be used in the variational form of the eauilibrium eauations is made. In the EFGM the shape functions are calculated considering a moving least squares (MLS) approach. In the case of the RPIM and the NNRPIM the shape functions are constructed using the multiquadric radial basis function. The EFGM, the RPIM and the NNRPIM are briefly described. In order to enforce the boundq conditions the Lagange Multiplier method is applied. The main contributions of this communication are the extension of the RPIM to simulate the behaviour of composite laminates and the presentation of the new meshless method, the NNRPIM. Several problems of bending of laminates are solved with the distinct mahless methods and the obtained solutions are compared with available exact solutions and finite element solutions. The obtain results show that the meshless approach considering inte~olationsf unctions is much more accurate and faster than when approximation functions are used. Results also show that meshless methods are a good alternative to the fmite element method for the solution of laminates bending problems.
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- A Numerical Comparison of Distinct Meshless Methods for the Analysis of Composite Laminates
- Springer Netherlands
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