We describe the formulation of a "super" macro equilibrium element which is free from spurious kinematic modes, and can provide a dual solution to a conforming displacement model in the context of error analysis. Details and numerical examples are given for 2D problems involving plane stress. It is intended to extend the formulation to 3D hexahedral elements for modelling solids using reduced numbers of degrees of freedom at the interfaces.
Abstract
We describe the formulation of a "super" macro equilibrium element which is free from spurious kinematic modes, and can provide a dual solution to a conforming displacement model in the context of error analysis. Details and numerical examples are given for 2D problems [...]