New approach for the hybrid element method

Abstract

A new functional which forms the basis of an improved hybrid element formulation is proposed. The variables for the functional include stresses, strains and displacements, and the displacements and stresses are further decomposed into two parts respectively. The proposed new formulation appears to be particularly suitable for improving conforming models. Based on this formulation, a new four-node plane hybrid element Q//c//s//6 can be developed, and the conforming element Q//4 and the non-conforming Wilson element Q//6**4 and modified Wilson element Q//m//6 can also be derived directly by this hybrid approach. It should be noted that more accurate stresses can be obtained from the this element which utilizes the concept of two stress components.