A Four-Noded Plane Elasticity Element Based On the Separation of the Deformation Modes

Abstract

This paper presents a four-noded quadrilateral finite element with translational degrees of freedom for plane elasticity problems, based on the displacement separation method, which is an unsymmetric stress-hybrid formulation. The element can reproduce exactly all the constant strain modes, has correct rank, is of high coarse mesh accuracy, and has a very low shape distortion sensitivity.