Finite element analysis of plate systems: 1. Hybrid—mixed finite elements

Abstract

The analysis of plate systems (Figure 1) with mixed finite elements is limited to geometric smooth partial systems (Figure 1a) with continuous strains and stresses. This is due to the independent approximation of the parameters of the local generalized displacements (displacements, slopes) and generalized stresses (stress resultants at the cross‐section) in the nodes of the partial systems (Figure 1c). Owing to the simultaneous approximation, an additional static constraint of the generalized stresses, apart from the kinematic constraint of the displacements which is usual in the finite element methods, is needed at the assembly, so that discontinuities of the stresses resulting from the equilibrium conditions cannot be determined.

Citation

Vayas, I. (1984), "Finite element analysis of plate systems: 1. Hybrid—mixed finite elements", Engineering Computations, Vol. 1 No. 4, pp. 324-328. https://doi.org/10.1108/eb023587