Semianalytical Structural Analysis Based on Combined Application of Finite Element Method and Discrete-continual Finite Element Method Part 1: Two-Dimensional Theory of Elasticity

This paper is devoted to so-called semianalytical structural analysis, based on combined application of finite element method (FEM) [1] and discrete-continual finite element method (DCFEM) [2-7]. Boundary problems of two-dimensional theory of elasticity (static analysis of deep beam [1]) are under consideration. In accordance with the method of extended domain, the given domain is embordered by extended one. The field of application of DCFEM comprises structures with regular (constant or piecewise constant) physical and geometrical parameters in some dimension (“basic” dimension). DCFEM presupposes finite element mesh approximation for non-basic dimension of extended domain while in the basic dimension problem remains continual. Corresponding discrete and discrete-continual approximation models for subdomains and coupled multilevel approximation model for extended domain are under consideration. Brief information about software and verification samples are presented as well.