Modelling cross-ply laminated elastic shells by a higher-order theory and multiquadrics

The higher-order shear-deformation theory of laminated orthotropic elastic shells of Vlasov–Reddy is a modification of Sanders’ theory and accounts for parabolic distribution of the transverse shear strains through the thickness of the shell. The Vlasov–Reddy shell theory allows the fulfillment of homogeneous conditions (zero values) at the top and bottom surfaces of the shell. This paper deals with a meshless solution of the Vlasov–Reddy higher-order shell theory. The meshless technique is based on the asymmetric global multiquadric radial basis function method proposed by Hardy and Kansa. This paper demonstrates that this truly meshless method is successful in the analysis of laminated composite shells.