Modeling of a Multi-Storey Building Made of Reinforced Concrete, Taking into Account Damage on a Deformable Foundation

Abstract

The construction of a mathematical model based on the finite element method for determining the stress-strain state of a 25-storey reinforced concrete building on a multilayer deformable foundation is considered. The sensitivity of the physical and mechanical characteristics of the building and foundation material to the type of stress state, the development of plastic deformations in reinforcement, damage in the form of cracking, and induced heterogeneity are taken into account. The relations for nonlinear isotropic materials proposed in the frame-work of the theory of normalized stress spaces are taken as constitutive relations. A modification of a multilayer triangular hybrid finite element with five degrees of freedom in the node is formulated to describe the features of the mechanical behavior of building structures. A description is given of methods for modeling fictitious layers of an element corresponding to various variants of the stress-strain state of reinforced concrete. Quantitative estimates of the stress-strain state of the combined "building-base" system under the action of static loads of two types are obtained in the form of graphs of the dependence of dis-placements on the magnitude of the load in floor slabs and pylons. According to the results of the research, it was confirmed that taking into account "complicated" ones is necessary to obtain correct estimates of the stress-strain state of buildings.