Abstract
Abstract
Based on the generalized mixed variational principle, a 20-node generalized mixed degenerate shell element is proposed from the 20-node 3D spatial isoparametric element, and the basic assumptions of the plate and shell theory are introduced. Several typical examples are analyzed statically. In the case of the same finite element model, due to the introduction of stress boundary conditions, the result accuracy of the generalized mixed solid degenerate shell element is better than that of the conventional displacement element. The deflections of plate-shell structures with different thickness-to-span ratios are also analyzed, and the generalized mixed solid-degenerate shell element is insensitive to the span-to-thickness ratio. Numerical calculations result in stable convergence, reliability, and high accuracy.