Some remarks on the application of the energy variational principles in the finite element method


Apostol Poceski




Disadvantages of energy variational principles in the finite element method are considered. In the case when the distribution function of a higher order, additional nodal forces appear, which are not a consequence of the crossing forces ($\Delta K_1$). The energy approach also includes quantities with different physical values ($\Delta K_2$ - “parasitic stresses”). These influences are the main reason that elements of a higher order or irregular shape give unsatisfactory results. All these shortcomings are successfully rejected by using the direct method of development finite elements.