Dynamic analysis of the elasto-plastic behaviour of buildings and structures in the SCAD ++ software package

Abstract

The problem formulation of nonlinear equations of motion obtained by the finite element method applying to the dynamic analysis of buildings and structures is presented. The elasto-plastic behaviour of reinforced concrete structural elements is described using the plastic flow theory, moreover, for concrete, the Drucker-Prager yield criterion is used for bending elements, and the yield surface, which coincides in shape with the Geniev strength surface, for compressed-bending elements. Concrete degradation due to crack opening is simulated by the descending branch of the σ − ε diagram. The plastic flow theory with von Mises yield criterion describes the behaviour of reinforcement. Using the aforementioned constitutive models, a finite element library was developed, including plane shell quadrilateral and triangular finite elements based on the Mindlin-Reissner shear theory as well as a two-node spatial frame finite element based on the Timoshenko shear theory. The seismic analysis of the 3-D model of multi-storey building is considered as an example.

Method of the Finite-Element Model Formation Containing the 3D Elements for Structural Calculations of the Reinforced Concrete Structures Considering the Crack Opening

“…Software is chosen because of its wide range of finite elements and calculation modes available and, at the same time, the possibility to use the standard documents for reinforcement and cross-section. As a result, the software is well-ranked and widely used in engineering practice [3][4][5][6][7][8][9][10][11]. Multiple comparative results analyses proved calculations accuracy compared to other software: SAP2000 [12], ETABS [13], MIDAS GTS NX [14], Tekla Structures [15][16], PLAXIS [17].…”