Year: 2024
Type: article
Abstract: Introduction. The deformation theory of plasticity (deformation theory) can be widely applied in physically nonlinear calculations under simple or converging to simple loadings. In particular, for the analysis of the seismic resistance of masonry buildings, the deformation theory can be utilized within the framework of the nonlinear static method. Compared to flow type theories, deformation theories enable a greater number of failure mechanisms to be implemented by defining a complex combined strength figure of the material without encountering issues with singularities in the limiting loading surfaces. Aim. To develop a variant of the deformation theory of plasticity for masonry in a plane stress state, taking into account the orthotropy of strength properties. Materials and methods. The study involved an analysis of known deformation theories. The physical relationships were formulated in matrix form for use in computer calculations. The comparison of the mathematical model with experimental results was performed using regression analysis methods. Results. A deformation theory for masonry is described as a quasi-orthotropic material without considering deformation anisotropy. The authors proposed a strength figure for masonry that accounts for the orthotropy of strength properties and depends on the angle between the principal axes and the axes of orthotropy. A methodology for transforming two basic deformation curves for masonry is outlined. Conclusions. The presented quasi-orthotropic deformation model for masonry can be utilized in finite element analysis programs and in developing plugins for existing software systems, particularly for the SCAD Office software suite with a deformation plasticity theory model.
Authors: M. L. Pozdeev, S. Yu. Likhacheva, I. V. Smagin
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4407537551