Cell-based smoothed finite element method for laminated composited plates with circular opening

Based on the first-order shear deformation theory, the Cell-based smoothed finite element method for the stress distribution at the edge of the hole was proposed. The stress smoothed technology was brought into the finite element to derive the Cell-based smoothed finite element formulae of laminated composited plates with circular opening, and the discrete shearing clearance was adopted to eliminate shear locking. This method has the advantages of low grid requirements, simple shape function, without differentiation, and solving the stiffness matrix by boundary integral. The effects of the ratio of the plate breadth to the hole diameter, the material properties and the types of layup on the stress distribution of the hole edge were discussed. Lastly, the numerical example verified that the presented method was accurate and effective.