Hybrid finite element and modified mixed finite element solutions of axisymmetric circular plates

Abstract

Two hybrid finite element formulations and a variant of a mixed finite element technique are outlined for the elastostatic analysis ofthin circular plates under conditions of axial symmetry. The hybrid procedures are the first-, second- and third-order stress, and first- and second-order strain finite element approaches, while the modified mixed finite element technique combines the best features of the standard finite element and stiffness routines, and directly utilizes the basic constitutive bending moment-curvature relationships. The numerical performance of the discussed methods is thoroughly examined and tested against exact solutions. For comparison, the corresponding results from a displacement-based finite element method are shown. The work is intended to assist one in the selection of an appropriate technique for elastic solutions for such problems as axisymmetric plates, rafts and tanks.