The direct method of development of finite elements


A. Poceski




The deformation function in the element should satisfy the solution of the homogeneous differential equation of the problem, with possible minor deviations. In such a case, the forces (deformations) along the boundaries of the elements calculated directly from the deformation function, then transferred to the nodes, define the matrix of the element. Such a procedure is called the direct method for developing finite elements. The application of the direct method is illustrated in the development of a beam element, a plate bending element, a plane stress element and a three-dimensional element. Elements developed by this method are very good and always reliable. This method can lead to the development of isoparametric elements defined explicitly.