Static deflection analysis of laminated composite and FGM plates based on FSDT and meshless collocation method

A mesh-free collocation method is presented to analyze the static deflection of laminated composite and FGM plate using first order shear deformation theory. In the present method, the problem domain is represented by a set of properly scattered nodes and no element conformability is required. Radial point interpolation method is applied to construct the shape functions. Variational principle is used to derive the discrete system equations based on the first order shear deformation theory. The shape functions have Kronecker delta property and therefore the essential boundary conditions naturally imposed. Several examples are solved to demonstrate the convergence, accuracy and validity of the proposed method. The results are verified with those available values by analytical and finite element method.

Keywords:

Mesh-free Collocation Method , Radial Point Interpolation , Laminated Composite , Functionally Graded Material