About Verification of Wavelet-Based Discrete-Continual Finite Element Method for Three-Dimensional Problems of Structural Analysis Part 1: Structures with Constant Physical and Geometrical Parameters Along Basic Direction

摘要

This paper is devoted to verification of so-called wavelet-based discrete-continual finite element method (wDCFEM), proposed by authors [1], for three-dimensional problems of local structural analysis. Formulation of the problem for three-dimensional structure with constant physical and geometrical parameters along so-called its basic direction, solutions obtained by wDCFEM and discrete-continual finite element method (DCFEM [2]) and their comparison are presented. It was confirmed that wDCFEM is rather 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 taken into account by the standard finite element method.