J. Sorić1, Q. Li2, T. Jarak1, S.N. Atluri2
CMES-Computer Modeling in Engineering & Sciences, Vol.6, No.4, pp. 349-358, 2004, DOI:10.3970/cmes.2004.006.349
Abstract An efficient meshless formulation based on the Local Petrov-Galerkin approach for the analysis of shear deformable thick plates is presented. Using the kinematics of a three-dimensional continuum, the local symmetric weak form of the equilibrium equations over the cylindrical shaped local sub-domain is derived. The linear test function in the plate thickness direction is assumed. Discretization in the in-plane directions is performed by means of the moving least squares approximation. The linear interpolation over the thickness is used for the in-plane displacements, while the hierarchical quadratic interpolation is adopted for the transversal displacement in order to avoid the thickness locking… More >