Open AccessDynamic analysis of the elasto-plastic behaviour of buildings and structures in the SCAD ++ software package
Author(s) -
Sergey Yu. Fialko
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1425/1/012041
Subject(s) - structural engineering , finite element method , quadrilateral , von mises yield criterion , yield surface , yield (engineering) , constitutive equation , bending , timoshenko beam theory , shear (geology) , mathematics , engineering , materials science , composite material
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.