About Verification of Discrete-continual Finite Element Method of Structural Analysis. Part 1: Two-dimensional Problems

This paper is devoted to verification of so-called discrete-continual finite element method (DCFEM) of structural analysis. Two-dimensional problems of analysis of deep beams are under consideration. Formulation of the problem for deep beam with piecewise constant physical and geometrical parameters along one direction (so-called basic direction), solutions obtained by DCFEM and finite element method (FEM)/with the use of ANSYS Mechanical/, their comparison are presented. DCFEM is more effective in the most critical, vital, potentially dangerous areas of structure in terms of fracture (areas of the so-called edge effects), where some components of solution are rapidly changing functions and their rate of change in many cases can’t be adequately considered in the standard FEM.