DEVELOPMENT OF A FUNCTIONAL GOVERNING 3D BAR ELEMENTS THAT CAUSE LARGE DISPLACEMENTS AND VERIFICATION OF NUMERICAL EXAMPLES USING THE FUNCTIONAL

Abstract

When the functional of the mixed finite element method based on the Hellinger-Reissner principle is applied to structures that cause large displacements, obtained solution has not a little error. By applying the augmented Lagrangian method to the principle of minimum potential energy with constitutive law, a new functional is presented. A formulation using this functional was developed and applied to several models causing link motion. Then, appropriately convergent solutions are obtained. This functional has the function to eliminate errors that occur when nonlinear equilibrium equations are linearized for analysis. However, the mixed method does not have this capability.